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pose -2340 = -5*n - g, h*g - 2*g + 10 = 0. Is n a composite number?
False
Suppose 28107 + 13785 = 12*m. Is m a prime number?
True
Let t be (2 - 16) + (-2 - -5). Let y(z) = z + 10. Let m be y(t). Let s(v) = -162*v**3 + v**2. Is s(m) a composite number?
False
Suppose i + 4*w - 24 = 0, -124 = -4*i - 3*w + w. Let q = 122 + -267. Is i/40*q/(-2) a prime number?
False
Suppose -9*h + 12*h - 4*b - 310831 = 0, 207222 = 2*h - 2*b. Is h prime?
True
Suppose a - 4*r = -9*r + 4, a + 5 = 4*r. Is a/4*2 + 12321/6 a prime number?
True
Let p(j) = j. Let t be p(4). Let d be 6/t*(-28)/(-6). Suppose -b + d*b = 54. Is b composite?
True
Suppose -4*w = -21*w + 58259. Is w prime?
False
Suppose -8*n + 36322 = -33862. Is n a prime number?
False
Let v(k) = k**2 + 6*k + 7. Let g = -24 + 19. Let t be v(g). Suppose 0 = q + t*q - 2661. Is q composite?
False
Let m(g) = -62*g - 97*g - 15 + 10. Is m(-4) a prime number?
True
Suppose 3*c - 2571 - 19872 = 0. Is c composite?
False
Suppose 0 = 4*j - 20, -3*v + v = 5*j - 43. Let t(z) = -z**2 + 10*z - 6. Let q be t(v). Suppose -q*x + 3*o = -5*x + 505, -4*x + 1009 = 5*o. Is x composite?
False
Suppose -7813 = -v - 2010. Is v prime?
False
Suppose 4*o - 35 = -5*b, 5*o - 19 = b + b. Suppose 2*z + o*r + 5550 = 7*z, 0 = -4*r - 4. Is z a prime number?
True
Let o = -26873 - -38344. Is o composite?
False
Let d = -3 - -6. Let c(a) = 0*a + d*a + 2*a - 4 + 2. Is c(3) composite?
False
Suppose 122 = 2*p - 196. Is p a prime number?
False
Suppose z - 2*x - 129 = 0, -6 + 3 = -3*x. Is z a composite number?
False
Let w(s) = 4080*s + 47. Is w(6) prime?
True
Let s(k) = k**3 + 7*k**2 - 3*k - 5. Let y be s(4). Suppose -7 = -7*j - 7. Suppose j*g = 3*g - y. Is g composite?
False
Let k = -98194 - -171945. Is k prime?
True
Suppose -2*w + 4*b + 124 = -0*b, 3*b = 5*w - 282. Suppose g = w + 107. Suppose 4*u + i - 51 = 3*u, i = 3*u - g. Is u a prime number?
True
Suppose 197 = 7*o - 62. Is o a prime number?
True
Suppose 5*b + 0*b = 2*l + 17279, 2*l + 3451 = b. Is b composite?
False
Let v be (-6)/(-27) + 55/(-45). Is ((-223)/5)/(v/5) composite?
False
Suppose -3*w + 5*i + 97757 = 0, -4*w = -2*i + 4353 - 134677. Is w prime?
True
Let c = -24 + 48. Suppose -5*p = 20, 2*p = -4*v - 3*p - c. Is v/((-1)/(-3)) + 82 a prime number?
True
Let i be 6*-34*(-4 + (3 - 0)). Let u = 323 - i. Is u composite?
True
Let m(q) = 97*q**2 - 3*q + 9. Let d be m(-4). Let j = d + -1040. Is j a composite number?
True
Let x(t) = t**3 + 18*t**2 + 51*t - 1. Is x(-14) prime?
False
Suppose 305 = 3*z - 496. Suppose -3*h + 6*h - z = 0. Suppose 0*d - h = -d. Is d prime?
True
Let m = 14 - 23. Suppose -3*p = -11*p - 176. Is (p/(-2))/(m/(-18)) a prime number?
False
Suppose -4*f = -8 - 0. Is 2 - (-1043 + -2 - f) prime?
True
Suppose -2*b - 2*c = -1173 + 367, 0 = -b - 4*c + 412. Let w = 1029 - b. Is w a prime number?
False
Let q be 6/9*(-59 + -4). Let o = 410 + -979. Let i = q - o. Is i a composite number?
True
Let j(i) = -9*i**2 - 4*i - 14*i**2 + 3*i**2 - 1 - i**2. Let d be j(-4). Let m = d - -482. Is m composite?
True
Let y = 16 + -11. Suppose 0 = -k - y*f + 2294, -k + 6843 = 2*k + 2*f. Is k composite?
True
Suppose -2*h = 2*h. Let o be h + 0 + 559/13. Suppose -o = -2*f + 19. Is f a composite number?
False
Let q = -15052 + 24111. Is q prime?
True
Suppose 0 = -4*z + 5*c + 16389, z + 3*c - 4066 = -2*c. Is z composite?
False
Let o(q) = 8*q**2 + 6*q - 53. Is o(-15) prime?
True
Let z = 48 - 39. Suppose -z*w - 720 = -5121. Is w a composite number?
True
Suppose -2*v + 3*u - 223 = 0, u = v - 5*v - 453. Let n = -60 - v. Is n prime?
True
Let i(x) = x**3 - x**2 - x - 15. Let g be i(0). Is ((-1899)/(-6))/(g/(-20)) prime?
False
Let z be ((-36)/(-21) - 2)*-14. Is 633/15*(1 + z) a composite number?
False
Suppose 5*p + 4*l - 222 = 1120, 5*p - 4*l = 1358. Suppose 154 = 2*f + 5*q - p, 2*q - 647 = -3*f. Is f composite?
True
Let z(x) = -3*x - 10. Let u be z(-4). Let g = -10 - -6. Is ((-582)/12)/(u/g) a composite number?
False
Let b be (-40)/6*(-1008)/96. Suppose 5*q - 2*s + 176 = 0, 0*q + q = -5*s - 46. Let x = q + b. Is x prime?
False
Let b(m) = -m**3 + 5*m**2 + m - 6. Let j be b(5). Let o(i) = -8*i - 2. Let f be o(j). Suppose 655 = -l + f*l. Is l a prime number?
True
Suppose 2*z = 2*b - 10, 2*b + 5*z = 4 - 8. Suppose 4*q + b*f = 10 + 16, 3*f = 5*q - 19. Let l(x) = x**3 - x + 7. Is l(q) prime?
True
Let v be 118 - (1 + 1 + -2). Suppose -2*a + a + v = 0. Is a a composite number?
True
Suppose 3*l = 2*a - 0*l - 12, -4*l = -a + 16. Suppose 2*k + 6 = 2*c, 1 = 4*c + 2*k + 7. Suppose c = z - a*z - 454. Is z a prime number?
False
Suppose 6*s - 19*s + 115531 = 0. Is s a composite number?
False
Let v(f) = f**3 - 8*f**2 + 7*f. Let k be v(5). Let s = 47 - k. Is s composite?
True
Let i = -10821 - -73444. Is i prime?
False
Suppose -141*o + 152*o = 353177. Is o a prime number?
False
Suppose -29*c + 22433 = 2*h - 24*c, 4*h - 44842 = -2*c. Is h composite?
True
Suppose 3*h - 5*v - 81051 + 26163 = 0, 7*h - 3*v - 128098 = 0. Is h prime?
True
Let i(y) = 2*y**3 - 5*y**2 + 2*y - 7. Let d(o) = -o**2 + 11*o - 4. Let u be d(10). Let g be i(u). Suppose 178 = 3*w - g. Is w a prime number?
False
Let x(b) = -46*b + 5. Let s be (-12)/(-10)*-1*25. Let o = 27 + s. Is x(o) a prime number?
False
Is ((-87)/(-1))/(3*(-12)/(-3684)) prime?
False
Suppose 5*j - 34902 = 5573. Is j prime?
False
Suppose -8*s = 3 - 19. Is (1/s - -1)/(6/10204) a composite number?
False
Suppose -5155 = -5*g + 6*w - w, -4124 = -4*g + 2*w. Is g composite?
False
Let w = 60 + -62. Is 7023/9 + w/(-3) a composite number?
True
Suppose -358*z = -353*z - 42565. Is z a prime number?
True
Let d(i) = i**3 - 2*i**2 - i + 2. Let w be d(3). Let m be ((-152)/(-6))/(w/12). Let t = m - 13. Is t composite?
True
Let v be (-9)/(-2)*(13 + -6 - 5). Is 31912/72 + (-2)/v prime?
True
Suppose -3*j - 5*h = 6352 - 41820, 4*j + 4*h - 47288 = 0. Is j prime?
True
Let q(t) = 4305*t**2 + 30*t + 59. Is q(-2) a prime number?
False
Suppose 3*k + 5514 = 837. Let f = 2194 + k. Suppose -2*g - 3*g = -f. Is g composite?
False
Suppose l - 3 = 2, -5*m - 2*l + 12505 = 0. Let s = m + -772. Is s composite?
True
Suppose 4*q - 2*q = -4*k - 4, -4*q = 5*k - 4. Suppose 0 = q*b - 2*b. Suppose -54 = -2*x - 4*m - 0*m, b = 4*x - 2*m - 158. Is x prime?
True
Let q(i) = -i - 14. Let j be q(-12). Is (1361/(-1))/((0 - -2)/j) composite?
False
Suppose -3*y + 1124 + 3847 = 0. Is y a prime number?
True
Let a = -83 - -66. Is (-17)/a + (-5)/((-5)/2842) prime?
True
Let i be 0/(-2) + -1 - -18. Let s = i + -17. Suppose -2*x + 526 = 2*t, -t = 4*x - s*x - 275. Is t composite?
True
Suppose -5*t + 43 + 47 = 0. Let b be (-3)/1 - 126/t. Let c(q) = -q**3 - 8*q**2 - 8*q - 13. Is c(b) a composite number?
True
Let c(o) = -o**3 + 3*o**2 + 15*o + 17. Is c(-10) composite?
True
Suppose 3*x - 7612 = x. Suppose 5*r - x = 1769. Is r a prime number?
False
Let u be (3/(-6))/((-2)/(-332)*1). Suppose 0 = f - 6*f - 1340. Let w = u - f. Is w composite?
True
Let f be (-6485)/(-15) - (-5)/(-15). Let v = f + 109. Is v a prime number?
True
Let z(x) = -x**3 + 7*x**2 - 4. Let w be z(7). Let v be 135/36 - 1/w. Suppose g = -j - v*g + 62, -338 = -4*j - 2*g. Is j prime?
False
Let k(s) = -4*s + 97 + 52*s**2 - 4*s - s - 79. Is k(7) a prime number?
True
Let j(z) = -181*z - 11. Let v be j(-6). Suppose -4*i + y = -869, -2*i - 5*y - v = -7*i. Is i a composite number?
True
Let q = -56 - -59. Suppose -q*v + 2894 = 35. Is v a composite number?
False
Suppose -6493 = -3*f + 2*f. Let i = f - 3102. Is (-4)/(-18) + i/9 composite?
True
Let b = -24840 - -75337. Is b a composite number?
False
Is (-926)/(-6)*5/(5/6) prime?
False
Suppose 0 = r - 24 + 20. Suppose 4*j - 360 = 2*v, -r*v = -5*j - 246 + 693. Is j a prime number?
False
Let q(o) = 69*o**3 - 13*o**2 - 3*o - 22. Is q(5) composite?
False
Suppose 46*u - 42*u - 265388 = 0. Is u a prime number?
True
Let t be 8/(-12) + 24/9. Suppose -5*u + t*p + 2613 = -0*p, -3*u - 2*p + 1555 = 0. Is u composite?
False
Let k = -2 - -2. Let r = -81 - -1091. Suppose k = 7*q - 2*q - r. Is q a prime number?
False
Let m = 174 + -172. Let k(b) be the first derivative of 99*b**2/2 + b - 1. Is k(m) a composite number?
False
Let f = 1 - -2. Let m = -298 + 647. Suppose -f*d = -g + 90, -d = -4*g - 0*d + m. Is g a prime number?
False
Let g(b) = -b**3 + 3*b**2 + 3*b. Let r be g(3). Let
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{
"pile_set_name": "DM Mathematics"
}
|
2 + 59404*l**2*w - 119455222*l**2 + 2*l wrt w?
-17314*l**2*w + 59404*l**2
What is the second derivative of 47250049*z**5 + 12*z**3 - 945348525*z wrt z?
945000980*z**3 + 72*z
What is the first derivative of -69538565*i**2*l**2 - 7*i**2*l - 630*i**2 - 81072*i wrt l?
-139077130*i**2*l - 7*i**2
Differentiate -3123*f**3*o*r + 255*f**3*o + f**2*o - f*o - 1799*o*r + 57*o - 3*r - 2 with respect to r.
-3123*f**3*o - 1799*o - 3
Find the third derivative of -45449*o**3*s - 284*o**3 - 576994*o**2*s + 7*o*s - 1 wrt o.
-272694*s - 1704
Find the second derivative of 19529852*m**3*s**2 - 2*m**3 + 125300*m**2*s + 11*m*s - 2 wrt s.
39059704*m**3
What is the second derivative of 2404*n**3*w + 8*n**3 - 9*n**2*w + 2*n**2 + 14*n*w - 9*n - 344*w - 1 wrt n?
14424*n*w + 48*n - 18*w + 4
Find the second derivative of -65*s**4 - 2*s**3 + 52*s**2 + 3*s + 331182.
-780*s**2 - 12*s + 104
What is the second derivative of 2918801*z**4 - 4229*z + 622 wrt z?
35025612*z**2
Find the second derivative of 42737338*j**2 + 32329064*j wrt j.
85474676
Differentiate 69199300*q + 85713570 wrt q.
69199300
What is the third derivative of 13285*b**6 + 6826*b**3 + 2*b**2 + 271765533*b - 2?
1594200*b**3 + 40956
Find the third derivative of -13081038*a**3 + 4*a**2 + 7*a - 19384.
-78486228
What is the second derivative of 2*o**3 - 937262*o**2 - 12551*o + 42 wrt o?
12*o - 1874524
What is the third derivative of -43714639*y**4 - 1812*y**2 + 923*y + 1 wrt y?
-1049151336*y
What is the second derivative of -23*i**4 + 33379*i**3 + 2*i**2 - 181*i - 18635?
-276*i**2 + 200274*i + 4
What is the first derivative of -6546*j**2 - 1252*j + 40096882 wrt j?
-13092*j - 1252
What is the second derivative of 181539566*w**3 - 7313457*w + 23?
1089237396*w
What is the third derivative of 25806*d**4 - 3217*d**3 + 86049840*d**2 wrt d?
619344*d - 19302
Find the third derivative of -5781929*a**3 + 19*a**2 + 406388 wrt a.
-34691574
Find the third derivative of 6*d**5*t**3 - 8710*d**3*t - 2*d**2*t**2 - 2624*d*t**3 - 2*d + 35*t**3 wrt d.
360*d**2*t**3 - 52260*t
Find the second derivative of 59*f**3*t + 13545*f**2*t*x**3 - 798*f*x**3 - 3*f*x**2 + 2*t*x + 4*t + 3*x**3 wrt f.
354*f*t + 27090*t*x**3
What is the third derivative of -116562005*u**4*y**3 - 7*u**2 + 8782059*u*y**3 wrt u?
-2797488120*u*y**3
What is the first derivative of 23127*r**2*v + 10*r**2 - 2*r*v + 1067991*r + 8*v wrt v?
23127*r**2 - 2*r + 8
Find the third derivative of -1615*d**3*f**4 + 458*d**3*f + 27*d**2*f**2 + d*f**2 - 5*d*f + 1236*f**6 wrt f.
-38760*d**3*f + 148320*f**3
Find the second derivative of -22106036*m**2 + 6*m - 712133 wrt m.
-44212072
Differentiate v**3 - 498*v**2 + 3441*v + 7513421 with respect to v.
3*v**2 - 996*v + 3441
Find the second derivative of 972572889*c**2 - 25*c - 6179766.
1945145778
Differentiate 287868722*o + 171439334 wrt o.
287868722
What is the second derivative of -23411*q**2*y**3 + 2*q**2*y**2 - 60*q**2 - 2*q*y - 162696*q + 6*y**3 wrt q?
-46822*y**3 + 4*y**2 - 120
What is the third derivative of 191*y**6 - 2*y**5 + 1036*y**3 - 7706*y**2 + 2727 wrt y?
22920*y**3 - 120*y**2 + 6216
What is the derivative of -52*a**2*g - 116369*a**2*v + a**2 - 37*a - g*v**2 - g - 9*v**3 + 7 wrt v?
-116369*a**2 - 2*g*v - 27*v**2
Find the second derivative of -115664218*s**2*x**2 - 27*s*x**2 - 11420*s - 76*x**2 wrt s.
-231328436*x**2
What is the second derivative of 76*q**4 + 4*q**3 - 19204*q**2 - 26217*q - 580?
912*q**2 + 24*q - 38408
Find the third derivative of -17*a**3*f*s + 12*a**3*f + 33*a**3 - 3*a**2*f*s - 440*a**2 + 148*f*s wrt a.
-102*f*s + 72*f + 198
What is the third derivative of -106571430*z**3 + 32166776*z**2 + 2*z?
-639428580
What is the derivative of -15864016*m**2 + 48808758?
-31728032*m
What is the second derivative of 110*k**3*y + 13*k**3 - 2*k**2*y + 3332*k**2 - 41*k*y + 2*k - 1791*y + 1 wrt k?
660*k*y + 78*k - 4*y + 6664
What is the third derivative of -3474*b**4*w + 4401*b**3*w - 9714*b**2 + 3716*w wrt b?
-83376*b*w + 26406*w
What is the third derivative of 278*c*r**3*v**3 - 2*c*r**2*v + 4*c*r**2 + c*r*v**3 + 941730*r**3*v**3 + 178*r*v**2 - 3*r*v + v**3 - 101 wrt r?
1668*c*v**3 + 5650380*v**3
What is the first derivative of 9538628*y - 8681375 wrt y?
9538628
What is the third derivative of 12726891*c**5 + 5*c**4 + 9*c**2 + 9*c + 190849?
763613460*c**2 + 120*c
Differentiate -5516827*c - 6893113 wrt c.
-5516827
Differentiate 44783336*w - 77843114 wrt w.
44783336
Differentiate -101837*c*n**2 + 247*c*n - 85*c + 201194 with respect to n.
-203674*c*n + 247*c
What is the first derivative of 10421194*h + 8621844?
10421194
What is the third derivative of -3470676*f**6 + 2*f**2 + 250*f - 8950?
-416481120*f**3
What is the third derivative of 73324*l**4 - 2996*l**3 + 823539011*l**2 wrt l?
1759776*l - 17976
What is the first derivative of -1429*g*r + 5*g - 342652*r + 51659694 wrt r?
-1429*g - 342652
What is the third derivative of -29348904*n**3 - 7*n**2 - n + 14318 wrt n?
-176093424
What is the second derivative of -2*p**4 + 139544434*p**2 + 393755763*p?
-24*p**2 + 279088868
Find the second derivative of -169555976*i**5 + 125571096*i.
-3391119520*i**3
Find the second derivative of 7680552*n**2 - 425*n - 52397 wrt n.
15361104
Find the third derivative of -113*d*l**3*n + 84682*d*l**2*n - 31*d*l*n**3 + 3*l**3*n**3 - 2104*l**3*n wrt l.
-678*d*n + 18*n**3 - 12624*n
What is the second derivative of 23917337*z**2 - z + 8314659 wrt z?
47834674
What is the second derivative of 4960*i**4*s + 607*i**3*s - i**2*s - 23385*i*s - 39*i wrt i?
59520*i**2*s + 3642*i*s - 2*s
Differentiate -17*h**3*u**2 + 1926716*h**3*u*w - h**3*u + 12476*h**3 - 4*h**2 + 2*h - 2*u**2*w wrt w.
1926716*h**3*u - 2*u**2
Find the first derivative of -34997994*d**2*v + 7*d**2 + 1968*d + 529 wrt v.
-34997994*d**2
Differentiate 14*b**3*k*o*s - 3*b**3*o*s - 502*b**3*o + b**3 - 39024*b*k*o*s + 2*b - k*s + 7*o wrt k.
14*b**3*o*s - 39024*b*o*s - s
Find the second derivative of -18*i**5 - 16104*i**4 - i**3 + 2425726*i + 2.
-360*i**3 - 193248*i**2 - 6*i
Find the third derivative of 4539113*p**3 + 4863178*p**2.
27234678
Differentiate 22*i**2*l**3 - 6061*i**2 - 81*i*l + 205*l**3 - l**2 - 2139*l + 2 wrt i.
44*i*l**3 - 12122*i - 81*l
What is the first derivative of y**4 + 167*y**3 - 4*y**2 - 632*y + 9702143 wrt y?
4*y**3 + 501*y**2 - 8*y - 632
Find the second derivative of -30115658*i**4 - 17385547*i.
-361387896*i**2
Find the second derivative of 4*r**3*t**3 + 4*r**3*t**2 - 67*r**2 + 2*r*t**3 + 10530*r*t**2 - 6*r*t - 2*r - 4*t wrt r.
24*r*t**3 + 24*r*t**2 - 134
What is the second derivative of 5*h**5 - h**4 - 466778*h**3 + 4523698*h?
100*h**3 - 12*h**2 - 2800668*h
Find the second derivative of 10*f**2*m**3 - 6108610*f**2*m - 6100*f*m**4 - 3*f*m**2 wrt m.
60*f**2*m - 73200*f*m**2 - 6*f
Find the second derivative of -f**3*u**2 + 100*f**3*u - 32*f**3 + 6706082*f*u**2 - 1110*u wrt u.
-2*f**3 + 13412164*f
What is the third derivative of -977*u**4 - 47350*u**3 + 3*u**2 + 1154186*u + 2?
-23448*u - 284100
Differentiate -3902927*q**3 + 5326552.
-11708781*q**2
Find the second derivative of -154808201*t**4 - 33867869*t - 1 wrt t.
-1857698412*t**2
What is the second derivative of -378502230*s**2 + 126977*s + 41?
-757004460
What is the second derivative of 6*a**4 + 481422*a**2*h**3 - 3612832*a*h**3 - 2*a*h**2 + 4*a*h wrt a?
72*a**2 + 962844*h**3
What is the derivative of 828*d**2 + 6520*d + 125985234 wrt d?
1656*d + 6520
Differentiate g*o**2 - 2*g*o - 312*g + 22490451*o + 14668 with respect to o.
2*g*o - 2*g + 22490451
Find the second derivative of 180*y**3 + 274908*y**2 + 17584270*y - 2 wrt y.
1080*y + 549816
What is the derivative of 24494296*t**4 + 17667177?
97977184*t**3
Find the second derivative of -16768554*o**2 + 22950719*o wrt o.
-33537108
What is the second derivative of 735979*i**2*s**2 - 10*i*s**2 - 2*i*s - 171*s**2 + 672 wrt i?
1471958*s**2
What is the derivative of 17*l**3 - 11952*l**2 - 58*l - 556402434 wrt l?
51*l**2 - 23904*l - 58
What is the derivative of 63732*z**4 + 304*z + 2867177 wrt z?
254928*z**3 + 304
Find the third derivative of -606*g**5 + 6668*g**4 - 989403*g**2 - 3*g wrt g.
-36360*g**2 + 160032*g
What is the second derivative of -352*y**3 - 3383*y**2 - 3551603*y?
-2112*y - 6766
Find the second derivative of 4*c**3*o**2 + 6*c**3*o + 6*c**3 + 1728*c**2*o + c**2 - 346581*c*
|
{
"pile_set_name": "DM Mathematics"
}
|
lve -2*y - 10 = j*y for y.
-2
Let b(i) = -4*i - 2. Let u be b(-2). Let x(w) = -4 - 7*w**2 + 42*w + 32*w + w**3 + 37*w - 104*w. Let j be x(u). Solve 0 = -j*y + 6*y - 16 for y.
4
Suppose 3*x + 3*r = 2*r + 3, 5*r = -15. Suppose b + 9 = 2*h, 2*h - x*b = 3*b + 5. Solve -h*g = -3*g + 2 for g.
-1
Let v = 98 - 93. Suppose -107 = -3*x - 11. Suppose -v*o + x = -38. Solve -3*z = -o + 2 for z.
4
Let a(l) = 3 - l + 0 - 5. Let h be a(-6). Solve 5*i + 4 = h*i for i.
-4
Suppose 19 = -s - 3*i, -3 = -s + i - 2. Let x be 3 - 4*s/(-16). Solve -2 = x*h - 0 for h.
-1
Suppose 6*a - 104 = 2*a. Let y = a + -23. Solve 5*n = y*n - 10 for n.
-5
Let u = -38 + 38. Suppose -y + 11 = n, -4*n - 2*y + 5*y + 23 = u. Solve 7*w - 1 = n*w for w.
-1
Let b(z) = -z**3 - 3*z**2 + 12*z + 21. Let x be b(-5). Suppose 3*l + d - 41 = 6*d, -15 = -l + 3*d. Solve l*w - x*w = -1 for w.
-1
Suppose 4*i = -4*o, 4*o = -5*i - 5 + 2. Solve o*l + 7 = 4 for l.
-1
Suppose -4*j - 60 = -p, -4*p - 22*j + 27*j + 240 = 0. Solve -p*c + 5 = -59*c for c.
5
Let j = 925 + -921. Let s = -1 + 5. Let o(p) = -p**2 + 7*p - 2. Let b be o(s). Solve j*k + b = -k for k.
-2
Suppose 2*p - 5*p = 5*j - 66, 0 = -5*p - 15. Solve -8*u = -j*u + 14 for u.
2
Let s = -84 + 57. Let v = 30 + s. Solve -v*j - j + 8 = 0 for j.
2
Let x(h) = 27*h - 189. Let c be x(8). Suppose -j = j - 12. Suppose c - j = 7*v. Solve 0 = -z - v*z for z.
0
Let w(n) = -3*n + 2 - n + 2. Let f = 201 + -207. Let c be w(f). Solve -c = -5*r - 3 for r.
5
Suppose -1 = -4*c + 55. Let p(y) = 4*y**2 + 4. Let a be p(-3). Suppose -c*r + 12*r = -a. Solve -6*b + b = -r for b.
4
Let d(p) = -5*p**3 - 13*p**2 - 3*p + 7. Let b(z) = 4*z**3 + 12*z**2 + 2*z - 8. Let a(o) = -4*b(o) - 3*d(o). Let q be a(-9). Solve 0*j + 8 = -q*j for j.
-4
Suppose -25 = -2*j - 53. Let q be 1/(-2) + (-105)/j. Solve 2*b - 10 = q*b for b.
-2
Suppose -10 = -3*q - 2*c, -q + 0*q - 2*c = -6. Suppose q*i = i + 1. Solve 4*g + 5 = i for g.
-1
Suppose 4*c + 2*h = 10, 5*h + 2 = -3*c + 13. Suppose 0 = -12*l - c + 26. Solve -6*f + 4*f = l for f.
-1
Let o = 2 - 16. Let q = o - -12. Let j = 0 - q. Solve 3*u + 5 = j for u.
-1
Let c(q) = q**2 - 12*q - 286. Let y be c(-12). Solve 8*r = -38 - y for r.
-5
Let r be (-20)/(-2)*119/119. Solve -r*a + 51 = 1 for a.
5
Suppose 4*i - 107 = -5*o - 80, -3*i = -2*o - 3. Suppose 2*g - 20 = -0*g. Solve -z + g = -i*z for z.
-5
Suppose v = -3*z + 22, 4*v = 12*z - 14*z + 28. Solve 2 = -z*w + 2 for w.
0
Let a = -68 + 80. Suppose -3*l + 16 + a = 5*i, -4*l + 4*i = -16. Solve -2*u = l + 2 for u.
-4
Let u be (-2)/(-8) + (-75)/12. Suppose 6 = 2*l + 24. Let d = u - l. Solve 3*a + d = -0*a for a.
-1
Suppose -4*v + 84 = 4*z, -v + 2 = -5*z - 1. Solve 0 = -g - 22 + v for g.
-4
Let u be (-5 - 162/(-9)) + -1. Solve -u = -246*p + 242*p for p.
3
Suppose l + 21 = 5*y - y, 4*l = -4. Suppose -25 = f - y*x, -x + 8 - 3 = f. Solve 20 = -f*q + 4*q for q.
5
Let m(d) = d**3 - 13*d**2 + 21*d + 15. Let s be m(11). Suppose 0 = 4*w - 3*q - 3, -s*q + 3 - 7 = -3*w. Solve -5*a + 10*a - 20 = w for a.
4
Let o(k) = -k**2 + 14*k - 20. Let b be o(11). Suppose 0 = -14*p + b*p + 20. Solve -p = 3*n - 8*n for n.
4
Suppose -n = 5*w + 3, 0*w = w + 3*n + 9. Suppose 2*d + 16 = 5*k, 2*k + 3*d + 5 = -0. Suppose 0 = 911*x - 913*x + 10. Solve z - x + k = w for z.
3
Let p = -8 + 11. Let t be (-57)/(-15) - ((-2)/10 - -1). Suppose -v + 5*k = -1, 2*k - 2 = -5*v + t*v. Solve m = p - v for m.
2
Let z(j) = j + 4. Let x be z(8). Let w = -32 + x. Let v be (8/w + 0)*-5. Solve v = 3*s - s for s.
1
Let q = 34 - 31. Solve q = -5*p - 12 for p.
-3
Suppose z + z = 24. Let p(k) = 6*k + 14 - z - k**2 + 0*k. Let o be p(6). Solve -s = o*s - 15 for s.
5
Let w be (-8)/(-28) - (-60)/(-14). Let h = w + 13. Let s = -1 + h. Solve s*o + 12 = 4*o for o.
-3
Let x(o) = -6*o**3 + 4*o**3 + 5*o**2 - 4*o + o**3. Let c be x(4). Suppose k - 3*k + 8 = c. Solve -k*n - 5 = 3 for n.
-2
Suppose -2*f = 4*b - 78, -f - 3*b = 2*f - 108. Solve -z = 36 - f for z.
-3
Let y be (-2)/4 + (-803)/(-22). Let a = y + -28. Let t be (a/10)/(7/35). Solve t*u = -3 - 1 for u.
-1
Let n(p) = p**3 - 22*p**2 + 8. Let y be n(22). Suppose -3*z - 3*u - 234 = -0*u, -2*u - 2 = 0. Let g be z/22*y/(-14). Solve l - 3 = g*l for l.
-3
Suppose 8*t - 360 = 4*t. Suppose 4*p + j = 22 + 83, -4*p = -2*j - t. Suppose -5*u + p = -0*u. Solve -2*v + u*v = 3 for v.
1
Let y = 173 + -168. Solve 7 = -3*u - y for u.
-4
Suppose 4*m + 8 = -3*d, m + 2 = -d - d. Suppose d = -0*i + 5*i + 15. Let y(f) = -2*f**3 - 5*f**2 - 3*f - 2. Let r be y(i). Solve -4*h + 0*h - r = 0 for h.
-4
Let b = -4 + 7. Let x(j) = j - 8. Let i(o) = 8. Let k(g) = 2*i(g) + 3*x(g). Let q be k(3). Solve -b*h = 2 + q for h.
-1
Let d = 10 + -7. Let v be 2/(d/(1 - 4)). Let p be (v/5)/((-2)/5). Solve -p + 5 = -2*r for r.
-2
Suppose -7*a = -5*a + 146. Let z = 76 + a. Solve -2*v = -z*v - 3 for v.
-3
Let z = 234 - 233. Solve 3*r + 10 = z for r.
-3
Suppose -15 = -4*r + 5*r. Let f = r - -30. Let h = f - 12. Solve 3 = 3*b - h for b.
2
Let p(h) = 12*h - 149. Let s be p(13). Solve 3*w - s = 2 for w.
3
Let s = -14 - -23. Suppose 4*k - 9 = -1. Suppose -k*i + 0*i + 10 = 0. Solve s*b - 4*b = -i for b.
-1
Let y = -833 - -835. Solve y*q + 1 - 5 = 0 for q.
2
Suppose 0 = -0*y - 3*y + 6. Let c(z) = z**3 - 3*z**2 - 3*z + 1. Let g be c(4). Suppose o - 6*h - 19 = -y*h, -g*o - 3*h = -3. Solve o*v + 3 = 15 for v.
4
Suppose -r + 5 = 3. Let o = -20 - -12. Let i = -6 - o. Solve i = r*k + 4 for k.
-1
Let u be (-3 + 8)*(-6)/(-10). Solve -5*o + o = -u*o for o.
0
Let j(r) = 16*r + 17. Let s(x) = 11*x + 11. Let n be -3 - 1/((-4)/32). Let q(w) = n*j(w) - 7*s(w). Let y be q(4). Solve -b = -5*b + y for b.
5
Let i = -951 + 961. Solve 2 = 4*b - i for b.
3
Let y(a) = 3*a - 15. Let h = -16 + 22. Let u be y(h). Solve 2*d + u = 3*d for d.
3
Suppose 2*m = 3*m - 2. Suppose m*q + 2*q = 48. Let s = 15 - q. Solve -2*b - s = 7 for b.
-5
Let b(c) = 2*c**2 - 8*c - 2. Let j be b(6). Let o be (6/7)/(j/77). Solve -o*f - 12 = f for f.
-3
Suppose 2*b + 4*w + 12 = 4*b, 0 = -b + 3*w + 9. Suppose l + 2*a - a = b, 0 = -l + 4*a. Solve l = -q - 0*q - 2 for q.
-2
Suppose 224 = 17*l - 167. Solve -4*p + 35 = l for p.
3
Suppose w = 8 - 24. Let l = -16 - w. Suppose -3*f = -l*f. Solve -2*v + v = f for v.
0
Suppose 0 = 3*a - 0*a + 36. Let m be (114/a)/(1/(-2)). Suppose -m + 4 = -5*z. Solve z*j = -2*j for j.
0
Suppose -168*v = -163*v - 35. Solve v - 12 = -5*u for u.
1
Let f(g) = -9*g**3 + 19*g**2 - 30*g + 65. Let h(a) = 4*a**3 - 10*a**2 + 15*a - 32. Let y(x) = 3*f(x) + 7*h(x). Let r be y(12). Solve 0 = -2*t - r + 3 for t.
-2
Let t = -26 - -31. Suppose 3*g + 43 - 8 = t*y, g + 5 = 0. Suppose 16 = 4*p - y. Solve -p*c + 27 = 7 for c.
4
Suppose -14*v + 2 = -15*v - 5*q, -4*q = v. Solve v = 18*r - 10*r for r.
1
Let b(c) = -8*c + 4. Let x be b(-6). Let h = 52 - x. Solve h*r + r + 2 = 0 for r.
-2
Let s(m) = -m**3 - 9*m**2 + 37*m + 12. Let x(n) = n - 8. Let z be x(-4). Let r be s(z). Solve 2*a - 4 = -r*a for a.
2
Let a(y) = 5*y**2 - 17*y + 4. Let i(d) = -d**2 + 1. Let r(w) = -a(w) - 4*i(w). Let s be r(9). Let z be s/12 + (-1)/3. Solve -g = -z - 0 for g.
5
Suppose -61*y + 66*y = 15. Solve -4*m = -y*m - 1 for m.
1
Let d be 6*(4 - (-14)/(-4)). Suppose -4*x = -2*x + d*b - 2, 2*b = -x. Solve 0 = -2*c + x*c - 10 for c.
5
Let t(u) = -3*u**3 + 12*u**2 - 10*u + 27. Let h(s) = s**3 - 4*s**2 + 3*s - 9. Let o(b) = 11*h(b) + 4*t(b). Let c be o(2). Solve 0 - 6 = -c*q for q.
2
Suppose -34*r + 35*r = 48. Solve -28 = -5*d - r for d.
-4
Let i(k) = k**3 + k**2 - k - 6. Let s be i(0). Let m(f) = 4*f**2 - 2993*f + 15 + 3007*f - 2*f**2. Let w be m(s). Solve -2*a - 25 = w*a for a.
-5
Let a(w) = -4*w - 31. Let b be a(-7). Let k be 2/((-12)/(-3))*(-1 - b). Solve 2*t = t - k for t.
-1
Suppose 8*n = 4*n + 48. Suppose -16*d + 28*d - 24 = 0. Let i be (d/6)/(2/n). Solve -2*h - i = -4 for h.
1
Suppose 2*o = j + 4*o - 11, -18 = -3*j - 3*o. Solve 0 = -p - j - 4 for p.
-5
Let s be (-3)/3*(-2 + 5). Let g be 0 + s/(-3) + 2. Let r = 31 - 31. Solve -j - g*j = r for j.
0
Let l(c) = -4 + 3 + 0 - 3*c. Let k(w) = w**2 - 9*w + 12. Let n be k(7). Let m be l(n). Solve 9 = -m*x - 11 for x.
-4
Suppose 4*i + 2*t = 34, 10 = 2*i + 2*t - 10. Let b be (-2)/3*(-21)/i. Solve -b = m + 1 for m.
-3
Let r = -89 - -93. Let z be (-3)/(-12) + r/(-16). Solve f + 4*f - 10 = z for f.
2
Supp
|
{
"pile_set_name": "DM Mathematics"
}
|
3
Let k(d) = 16*d**3 + 9*d**2 - 5*d + 527. Let g(a) = 19*a**3 + 11*a**2 - 6*a + 530. What is -5*g(w) + 6*k(w)?
w**3 - w**2 + 512
Let l(i) = 10*i**3 + 32*i**2 - 1006*i + 42. Let n(c) = -2*c**3 - 6*c**2 + 201*c - 8. What is -3*l(r) - 16*n(r)?
2*r**3 - 198*r + 2
Let x(t) = 70858768*t + 69180. Let f(r) = -9218*r - 9. Calculate -23060*f(s) - 3*x(s).
-9224*s
Let j(q) be the first derivative of -27*q**2/2 - 1272. Let z(f) = 1081*f. Give 161*j(t) + 4*z(t).
-23*t
Let w(d) = 5*d + 4. Let q(k) = k**2 - 6*k - 3. What is -3*q(h) - 4*w(h)?
-3*h**2 - 2*h - 7
Let b be (-153)/(-102)*((-12)/9)/1. Let q(x) = -13*x**2 + 3*x + 1. Let a(j) = 0*j - j**2 - 5*j**2 + j. Give b*q(z) + 5*a(z).
-4*z**2 - z - 2
Let q(z) = 17*z**3 - 48*z**2 - 3*z + 8. Let k(p) = 6*p**3 - 16*p**2 - p + 3. Let y = -38660 + 38664. Determine y*q(m) - 11*k(m).
2*m**3 - 16*m**2 - m - 1
Let o(d) = 187*d**3 - 6*d**2 + 3*d + 2. Let i(c) = -375*c**3 + 13*c**2 - 6*c - 4. Determine -6*i(s) - 13*o(s).
-181*s**3 - 3*s - 2
Let z(d) = 4*d**2 - 6*d + 3. Suppose -214*k = -219*k + 175. Suppose 4*o = 3*m + 9 - 4, -3*m + k = 4*o. Let x(h) = h**2 - h + 1. What is m*x(l) - z(l)?
l**2 + l + 2
Let b(u) = -20*u**2 + 5*u. Let l(k) = -124*k**2 + 25*k. Let d(x) = -6*b(x) + l(x). Suppose 4*j = -12 - 12. Let c(t) = -t**2. What is j*c(w) + d(w)?
2*w**2 - 5*w
Let d(l) = -21*l - 2. Let g(v) = 13*v - 91. Let o(m) = -40*m + 319. Let b(k) = -7*g(k) - 2*o(k). Give -7*b(s) + 4*d(s).
-7*s - 1
Let u(q) = -q**3 + q**2 + 1. Suppose 4*s + 15*f - 11*f + 8 = 0, 0 = 4*s + 3*f + 7. Let n(t) = -20*t**3 + 2*t**2 - t + 2. Calculate s*n(r) + 2*u(r).
18*r**3 + r
Let y(k) = -3*k - 4. Let x(l) = -114*l**2 + 22*l + 26. Determine x(b) + 6*y(b).
-114*b**2 + 4*b + 2
Let v(q) = -q + 24*q - 5*q - 12*q**2. Let k = 1008 + -990. Let d(l) = -l**2 + l. What is k*d(x) - v(x)?
-6*x**2
Let f(k) = -22141*k**2. Let w(d) = 2535143*d**2. Calculate -573*f(r) - 5*w(r).
11078*r**2
Suppose -16*l = 5*l + 21. Let r(m) = -m**3 - m**2 + 6*m - 5. Let w(z) = -z - 3. Let p(s) = -4*s - 10. Let t(j) = 2*p(j) - 7*w(j). Determine l*r(c) - 5*t(c).
c**3 + c**2 - c
Let v(g) = -64*g + 42. Let f(i) = -130*i + 71. Determine 4*f(l) - 7*v(l).
-72*l - 10
Let l(n) = 1402*n**2 + 7*n - 4. Let g(i) = -9*i**2 + i. Determine -6*g(p) + l(p).
1456*p**2 + p - 4
Let w(a) = 28*a**2 + 475*a - 47. Let r(o) = 7*o**2 + 117*o - 13. Calculate -11*r(u) + 3*w(u).
7*u**2 + 138*u + 2
Let p(f) = -22*f - 32. Let s(c) = -31*c - 45. Let l(w) = 7*p(w) - 5*s(w). Let x(z) = -2*z + 2. Let i be x(-2). Let v(d) = d + 1. What is i*v(u) - 5*l(u)?
u + 1
Let f(y) = -305*y + 1. Let g(r) = -618*r + 2. Give -11*f(b) + 6*g(b).
-353*b + 1
Let s(n) = -329*n + 1. Let x(w) = 3*w - 3. Calculate -s(l) + x(l).
332*l - 4
Let a(b) = -114*b**3 + 245*b**2 - 7*b + 2. Let c(u) = 49*u**3 - 123*u**2 + 3*u - 1. Give 3*a(h) + 7*c(h).
h**3 - 126*h**2 - 1
Let m(n) = 60*n**3 - 6*n**2 + 24*n + 18. Let i(h) = 121*h**3 - 11*h**2 + 47*h + 33. Give 6*i(f) - 11*m(f).
66*f**3 + 18*f
Let d(s) = -53*s**2 + 16*s + 49. Let c(q) = 51*q**2 - 20*q - 51. Determine 4*c(u) + 5*d(u).
-61*u**2 + 41
Let o = -1070 - -1034. Let n(h) = -16*h**3 + 18*h**2 - 18*h. Let l(b) be the first derivative of b**4/4 - b**3/3 + b**2/2 + 5. What is o*l(m) - 2*n(m)?
-4*m**3
Let f(c) = c - 2367. Let g(b) = -b + 808. Calculate 4*f(t) + 11*g(t).
-7*t - 580
Let t(d) be the second derivative of 3*d**3/2 + 4162*d. Let o(n) = 16*n + 1. Let x(j) = 33*j + 2. Let l(a) = 13*o(a) - 6*x(a). Determine 2*l(w) - 3*t(w).
-7*w + 2
Suppose -121*m + 78 = -108*m. Suppose 12 = 3*a, 3 + m = 5*u + a. Let w(y) = 1. Let q(p) = -2*p + 14. Calculate u*q(v) - 10*w(v).
-2*v + 4
Let s(y) = y**2 - y - 1. Let q(i) = i - 1. Let p(m) = -118*m - 4605. Let t be p(-39). Let k = 1 + -2. What is k*s(l) + t*q(l)?
-l**2 - 2*l + 4
Suppose -7456*z = -7462*z - 36. Let a(m) = 8*m + 3. Let r(d) = -72*d - 28. Give z*r(y) - 56*a(y).
-16*y
Let i(m) = -14607*m + 15. Let o(n) = 387090*n - 396. Calculate 132*i(q) + 5*o(q).
7326*q
Let z(j) = -10*j**2 + j + 4. Let r(s) = -9*s**2 + s + 3. Suppose 15 = -a - 3*h, 82 = -a - 2*h + 74. What is a*r(b) - 5*z(b)?
-4*b**2 + b - 2
Let r(k) = 5*k**3 - 22*k**2 + 2*k - 4. Let u(s) = 3*s**3 - 12*s**2 + s - 2. Give -6*r(c) + 11*u(c).
3*c**3 - c + 2
Let c(q) = q + q + 79*q**2 - 6*q**2 - 4 + 2*q**3 - 47*q**2 + 2*q. Let h(o) = 4*o**3 + 53*o**2 + 9*o - 9. What is -9*c(k) + 4*h(k)?
-2*k**3 - 22*k**2
Let c(g) = g**3 - 1. Let r(i) = 4*i**3 - 4*i + 4*i**2 + 68 + 5*i + 4*i**3 - 55 - 16. Determine -6*c(j) + r(j).
2*j**3 + 4*j**2 + j + 3
Let z(b) = b + 1. Let v(t) = 9*t + 6. Let d(m) = -m. Let f(x) = -3*d(x) + v(x). Let y(u) = 643*u - 160745. Let a be y(250). Determine a*z(r) - f(r).
-7*r - 1
Let f(v) = -2*v + 2. Let h(b) = 32*b - 54. What is 12*f(g) + h(g)?
8*g - 30
Let c(a) = -a**2 - a. Let g(m) = -5*m**2 - 4*m. Let r be -6*((-5)/(-1))/(-5). Suppose 36*v - 34*v = r. Give v*g(s) - 12*c(s).
-3*s**2
Let s(k) = 2*k. Suppose -5*i + 0*p + 18 = 4*p, 3*p - 8 = -i. Let h(r) = -2*r + 0 - i + 2. Suppose -6*z - 5 = 7. Determine z*s(m) - h(m).
-2*m
Let n(h) = h**2 - h - 3. Let u be 6*148/6 - -3. Let y = u + -152. Let r(m) = m**3 + m**2 - m + 1. Give y*n(a) + r(a).
a**3 + 4
Suppose c - 4*u = -22, -5*c - u - 27 = -43. Let b(n) = n**2 - 31*n + 16. Let a(y) = 6*y - 3. What is c*b(k) + 11*a(k)?
2*k**2 + 4*k - 1
Let s(h) = 6*h + 4. Let q(o) = -o. Suppose 0 = -14*l + 4956 - 4928. What is l*s(u) + 10*q(u)?
2*u + 8
Let v(w) = -9*w + 667. Let x(t) = 6*t - 336. Calculate -3*v(r) - 5*x(r).
-3*r - 321
Let r(c) = 1245*c + 17. Let i(q) = -1282*q - 15. Give -7*i(o) - 6*r(o).
1504*o + 3
Let z(m) = -2*m**3 - m**2 - m. Let d(b) = 246*b**3 + 247*b**3 - 737*b**3 + 245*b**3. Let l be (3 - 50/15)*3. Determine l*z(a) - 4*d(a).
-2*a**3 + a**2 + a
Let b(z) = 18*z + 2875. Let g be b(-160). Let p(a) = 5*a**2 + 19*a - 4. Let j(x) = 6*x**2 + 20*x - 5. Determine g*p(w) + 4*j(w).
-w**2 - 15*w
Let a(g) = 5*g**3 - 4*g**2 - 4. Let o = 441 - 446. Let y be (-144)/(-40)*o/2. Let f(d) = 9*d**3 - 9*d**2 - 9. Calculate y*a(s) + 4*f(s).
-9*s**3
Let x(b) = -58*b + 7. Suppose -28*g + 2*l - 23 = -31*g, l - 36 = -5*g. Let r(k) = -39*k + 5. What is g*r(z) - 5*x(z)?
17*z
Let o(x) = -5*x**3 + 3*x**2 + 5*x + 6. Suppose 0 = -6*p + 15 - 3. Suppose 2 = -p*n - 4. Let b(w) = 11*w**3 - 7*w**2 - 11*w - 13. Determine n*b(g) - 7*o(g).
2*g**3 - 2*g - 3
Let w(a) = 5*a + 2. Suppose -2*g + 9*j = 4*j + 17, -5*j = -g - 21. Let k(t) = -18*t + 107. Let u be k(g). Let i(z) = 85*z + 35. Give u*w(r) - 2*i(r).
5*r
Let r = -31970 - -31966. Let c(d) be the first derivative of -4*d**2 + 5*d - 4*d - 1 + 2*d**2 - 2*d**3. Let k(s) = 5*s**2 + 3*s - 1. Calculate r*c(l) - 5*k(l).
-l**2 + l + 1
Let o(t) = 7079*t**2 - 2*t - 3. Let c(y) = 7031*y**2 - 3*y - 5. Determine 2*c(u) - 3*o(u).
-7175*u**2 - 1
Let x(l) = -l**3 + 2*l - 2. Suppose 53*d - 5*a - 23 = 56*d, 3*d - 2*a = 26. Let k = -67 - -97. Let o(i) = 6*i**3 - 15*i + 15. What is d*o(z) + k*x(z)?
-6*z**3
Let o(q) = 36*q**2 - 15*q + 15. Let p(u) be the first derivative of u**2/2 - u + 722. Give -o(z) - 15*p(z).
-36*z**2
Let i(f) = -30*f - 33. Let n(t) = 152*t + 180. Calculate -16*i(x) - 3*n(x).
24*x - 12
Let c(d) = -9*d**2 - 5*d. Let k(u) = -u**2 - u. Let f = 3018 + -3016. Give f*c(a) - 10*k(a).
-8*a**2
Let v(q) = 9*q - 969. Let z(j) = 5*j - 484. Determine 4*v(x) - 7*z(x).
x - 488
Let j be (57/(-9) - -7)*(-30)/4. Let s(i) = -i + 2. Let o(p) be the third derivative of p**4/24 - 2*p**3/3 - 91*p**2 - 1. Calculate j*s(l) - 3*o(l).
2*l + 2
Let o(t) = 16*t + 23*t - 62*t - 10*t**2 + 7*t + 18*t. Let p(w) = 10*w**2 - 3*w - 1. What is 3*o(h) + 2*p(h)?
-10*h**2 - 2
Let m(f) = -65*f + 704 - 246*f**3 - 1443 + 674 - 65*f**2 - 105*f**3. Let a(i) = -16*i**3 - 3*i**2 - 3*i - 3. Give 130*a(b) - 6*m(b).
26*b**3
Suppose 5*m - 1165 + 365 = 0. Let h(n) = 4*n - m + 79 + 78. Let c(i) = 1. Calculate 3*c(f) + h(f).
4*f
Let n(c) = -40*c**2 - 143*c + 4. Let b(p) = 112*p**2 + 427*p - 11. Determine 4*b(i) + 11*n(i).
8*i**2 + 135*i
Let c(s) = -s**3 - 82*s**2 + 522*s - 525. Let u be c(-88). Let v(j) = -j**2 + j. Let w(d) = 4*d**2 - 9*d - 2. Give u*v(x) + w(x).
x**2 - 6*x - 2
Let b(j) = -2011*j**2 - 10*j - 4. Let z(t) = 1004*t**2 + 4*t + 2. Determine 2*b(u) + 5*z(u).
998*u**2 + 2
Let f(t) = -24*t + 740. Let j(y) = -11*y + 374. Give 6*f(l) - 13*j(l).
-l - 422
Let w(f) = -7*f**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
a
In base 15, what is -25c - 13d?
-39a
In base 13, what is 4409a92 + 0?
4409a92
In base 4, what is -201220 - 21000?
-222220
In base 2, what is -1110111001001110111 + -10000?
-1110111001010000111
In base 10, what is -24 + 1067284?
1067260
In base 15, what is 3 + -235457?
-235454
In base 5, what is 210004104 - -10?
210004114
In base 2, what is -100000110111110011110000111 - 111?
-100000110111110011110001110
In base 4, what is 310113010 + -303?
310112101
In base 16, what is -4 - -2b9d85?
2b9d81
In base 13, what is 1c6 + -16c52?
-16a59
In base 2, what is 11010000 + -111011110111100110?
-111011110100010110
In base 6, what is -4 + 5125350202?
5125350154
In base 11, what is 16 + 3271a0?
327206
In base 15, what is 30cdae - 12?
30cd9c
In base 10, what is 703123 + -2?
703121
In base 6, what is 224 - 431503214?
-431502550
In base 7, what is 26010304 + 3?
26010310
In base 13, what is 40484 + 494?
40948
In base 2, what is -11110100110011111 + -1000100100111?
-11111101011000110
In base 13, what is 30c362 - 0?
30c362
In base 8, what is -34 - -3605231?
3605175
In base 8, what is 206007736 - 3?
206007733
In base 14, what is 24c60a8 - -2d?
24c60d7
In base 5, what is 24001130002 - -10?
24001130012
In base 14, what is 76cc94 - 2?
76cc92
In base 13, what is -3 + -2215a46?
-2215a49
In base 10, what is -174 - 135536?
-135710
In base 9, what is 23237 - 14180?
8047
In base 8, what is 310307122 + -2?
310307120
In base 12, what is a204b4 - 65?
a2044b
In base 12, what is 3002b + 530a?
35339
In base 13, what is 193 - -1a96ab?
1a9871
In base 9, what is 2738008470 + -2?
2738008467
In base 5, what is -10 + -313034022010?
-313034022020
In base 3, what is -210112212101 + -101?
-210112212202
In base 12, what is a81 - 548?
535
In base 9, what is 418726 - -324?
420151
In base 11, what is 35a022a9 - 5?
35a022a4
In base 13, what is 1245bb8 - 2?
1245bb6
In base 13, what is 3c0b8 - 8?
3c0b0
In base 2, what is 100010000111 - 1001100000?
11000100111
In base 8, what is 127 + 1312160?
1312307
In base 9, what is 58455 - -1507?
61063
In base 14, what is 565 + 264a5?
26a2a
In base 5, what is 133243 - 331031?
-142233
In base 3, what is 11112201021 + -1200?
11112122121
In base 12, what is -5888261 - -2?
-588825b
In base 14, what is 50d054 - 77?
50cdbb
In base 15, what is -326884 + 4?
-326880
In base 16, what is -31 - 26aeb1?
-26aee2
In base 5, what is 34210023 - 3021?
34202002
In base 5, what is 42120202414 + 4?
42120202423
In base 10, what is 49 + -161715?
-161666
In base 9, what is -108471 - -4501?
-103870
In base 11, what is -4 + -9678962?
-9678966
In base 6, what is -20022 - -32223?
12201
In base 15, what is -b89dcd4 - -3?
-b89dcd1
In base 2, what is 101100011001000 + 10101100000?
101111000101000
In base 8, what is 164 + 10072072?
10072256
In base 2, what is 1 - -1011000001000010111?
1011000001000011000
In base 6, what is -230240431 - 22?
-230240453
In base 4, what is -12 + -2010300200?
-2010300212
In base 13, what is 4 + 13c0866?
13c086a
In base 8, what is -6754034 - -36?
-6753776
In base 16, what is 7d3 + 6f?
842
In base 11, what is 257820 + -62?
257769
In base 11, what is -2649 + -36a3?
-6241
In base 16, what is a06eea - -1?
a06eeb
In base 6, what is -233251 - -145?
-233102
In base 3, what is 2221102 + 11020102?
21011211
In base 12, what is -133 + 66581?
6644a
In base 2, what is 100000010101100100000011 - -111?
100000010101100100001010
In base 4, what is -213312022231211 + 0?
-213312022231211
In base 5, what is 32110120 - 314?
32104301
In base 9, what is -1505633 - 4?
-1505637
In base 3, what is -21202111120021 - 1220?
-21202111122011
In base 10, what is 35279532 + 1?
35279533
In base 16, what is -26 - 8205b2?
-8205d8
In base 8, what is 303500 - -20?
303520
In base 14, what is 8492 + c6c?
9320
In base 14, what is -4 + 3a47c30?
3a47c2a
In base 7, what is 0 + 2254023326?
2254023326
In base 15, what is -52 - 5e210?
-5e262
In base 2, what is 101 + -10100110100010011110?
-10100110100010011001
In base 15, what is -1 - -50c05ad?
50c05ac
In base 8, what is -4626670 + 203?
-4626465
In base 14, what is 11c - -1005?
1123
In base 9, what is -18403 - -1162?
-17231
In base 4, what is 101320320 - -11222?
101332202
In base 7, what is -5144100660 - 4?
-5144100664
In base 9, what is 42 - 6881788?
-6881746
In base 9, what is 250545 - -1412?
252057
In base 4, what is 23323201 + 201233?
30131100
In base 2, what is -1000100100 + 1000011001?
-1011
In base 14, what is 31c + 2cb3a?
2d058
In base 9, what is -66655833 + -1?
-66655834
In base 6, what is -1114430 - 13142?
-1132012
In base 8, what is -2371 - 2627?
-5220
In base 12, what is 1347 - -9588a?
97015
In base 15, what is -1a3ed - 81?
-1a47e
In base 13, what is -c23 - -11520?
105ca
In base 5, what is 2022300 + 130323?
2203123
In base 3, what is -2220222 - -122111202201?
122101211202
In base 7, what is -1151 - 2243222?
-2244403
In base 11, what is -126 - -1168?
1042
In base 13, what is 76a9ba + c?
76a9c9
In base 11, what is 27 - 5476862?
-5476836
In base 2, what is -1 + 100011010001110011111?
100011010001110011110
In base 13, what is -15 + b5438?
b5423
In base 13, what is -18 - 16384b?
-163866
In base 2, what is -1 - -101011110111100000001000100?
101011110111100000001000011
In base 11, what is -265 + -51581?
-51836
In base 6, what is 4550 - 100223?
-51233
In base 6, what is -4003 - -153424?
145421
In base 4, what is 30 + 1012020313?
1012021003
In base 8, what is 4351 - -16333?
22704
In base 12, what is 194 + 23a86?
2405a
In base 15, what is 4 + 760c8d2?
760c8d6
In base 14, what is 599a2 - 16?
5998a
In base 2, what is 101101 - -1010110110110000?
1010110111011101
In base 7, what is -33053522 - 25?
-33053550
In base 4, what is -1121330 - 10110203?
-11232133
In base 9, what is 11 + 30015838?
30015850
In base 14, what is 0 - 149714d?
-149714d
In base 8, what is -151041103 + -6?
-151041111
In base 9, what is -3 + 245170256?
245170253
In base 9, what is 140 - -1226435?
1226575
In base 16, what is 4ebe - -424f?
910d
In base 5, what is 213132300 + 3421?
213141221
In base 14, what is 3 + -b90d72?
-b90d6d
In base 4, what is 1023 - -1111012300?
1111013323
In base 6, what is 1110532311 - -14?
1110532325
In base 13, what is -23 + -609748c?
-60974b2
In base 2, what is 10011 + -101000010010110111?
-101000010010100100
In base 13, what is 5 - -7448a?
74492
In base 9, what is -15 + 31162344?
31162328
In base 12, what is 3b23 + -580?
3563
In base 11, what is -2a201 + -447?
-2a648
In base 3, what is 111102200200110 + 11000?
111102200211110
In base 16, what is -155db5 + 17?
-155d9e
In base 4, what is -1022123322200 + 111?
-1022123322023
In base 2, what is 10000110100 + -1000110110011?
-110101111111
In base 13, what is -152aa - 0?
-152aa
In base 13, what is -1555898 - 8?
-15558a3
In base 4, what is 3 + 303022301033?
303022301102
In base 11, what is -4 + 3052a009?
3052a005
In base 6, what is 114 - -15222054?
15222212
In base 3, what is 221220101020221020 - 2?
221220101020221011
In base 9, what is 35388 - 305?
35083
In base 7, what is 3 + 3221216200?
3221216203
In base 6, what is 51 + 12141110?
12141201
In base 14, what is 5bc34a2 + 5?
5bc34a7
In base 14, what is 3 - -276c52d?
276c532
In base 9, what is -1063844362 + 5?
-1063844356
In base 10, what is -6433 + 7402?
969
In base 10, what is 13826409 - -2?
13826411
In base 15, what is -3a847b - -5c?
-3a841e
In base 12, what is aa + -1a31?
-1943
In base 12, what is -289 - -1182b?
11562
In base 11, what is -2087551 - -9?
-2087543
In base 10, what is -7027 - -1107?
-5920
In base 14, what is -d - -129a69?
129a5a
In base 6, what is 3 + -3212340440?
-3212340433
In base 12, what is -913a219 + 0?
-913a219
In base 8, what is 64654 + 3740?
70614
In base 6, what is -1530431 - 1052?
-1531523
In base 12, what is -ab - 41b90?
-4207b
In base 16, what is fae - b4a?
464
In base 11, what is 101 + 13252?
13353
In base 13, what is -41 + -26a12c?
-26a170
In base 5, what is 23314 - 113403?
-40034
In base 13, what is -112ca0c6 + -1?
-112ca0c7
In base 13, what is 255 + 57587?
5780c
In base 15, what is 2720 + -260?
24b0
In base 13, what is -194 + 1c067a?
1c04b6
In base 4, what is -13321300 + -120321?
-20102221
In base 7, what is 403 - -1102250?
1102653
In base 15, what is -2e - 11e7be0?
-11e7c1e
In base 14, what is 3 + -1c6d86?
-1c6d83
In base 16, what is
|
{
"pile_set_name": "DM Mathematics"
}
|
5002). What is w rounded to the nearest one thousand?
-5000
Let m be (-2)/(2 - 112/57). Round m to the nearest ten.
-60
Suppose 0 = -4*i - 945069 - 1614931. Round i to the nearest one hundred thousand.
-600000
Suppose 3*p - 2*p + 3*d = 17, -3*p + 5*d - 19 = 0. Suppose 0 = p*n - 1 + 7, 4*q - n = 60403. What is q rounded to the nearest one thousand?
15000
Let s = -17 - -40. Let a = s + -22.89. Let p = a - -0.64. What is p rounded to one decimal place?
0.8
Let o = -92.6 - 4.4. Let r = o - -100.9. Round r to zero decimal places.
4
Let s = 73 + -73.00228. What is s rounded to three decimal places?
-0.002
Suppose 8*t - 4*t - 49200020 = 0. Suppose 0 = -3*s - 5*i + t, 0*s + 5*i - 4100005 = -s. What is s rounded to the nearest one million?
4000000
Let c = -177.5833 - -175.9024856. Let h = -1.83081 - c. Let q = h - -0.15. What is q rounded to six dps?
0.000004
Let n = 20 - 20. Suppose n = 5*h - 0*h + 640. What is h rounded to the nearest 10?
-130
Let y = -116.00245 - -116. Round y to 4 decimal places.
-0.0025
Let p = -3996531 - -2736531. Round p to the nearest 100000.
-1300000
Let r = -0.06866 + 0.04865. Let j = r - -0.02. What is j rounded to 4 decimal places?
0
Let u = -3.2 - -1.5. Let w = 1.55 + u. What is w rounded to 1 decimal place?
-0.2
Let k = -0.005 + 0.00500095. What is k rounded to 7 dps?
0.000001
Suppose -4*s + 12 = -0*s. Suppose 5 = 4*k + 3*q, 0 = k + 3*k + 5*q - s. Let d = 8 - k. Round d to the nearest integer.
6
Suppose a + 2*g + 32492 = 0, -2*g - 3*g + 20 = 0. Round a to the nearest 1000.
-33000
Suppose -55670 = -3*f - 2*f. Suppose -6 = -2*x, -5*n - x + 3637 = f. Round n to the nearest one hundred.
-1500
Let w = 23.577 + 23182.423. Let v = w - 23205.78991. Let i = v + -0.21. Round i to four dps.
0.0001
Let z = 9.00099 - 9. What is z rounded to four decimal places?
0.001
Let w = -1.02 + -0.22. Round w to one decimal place.
-1.2
Let m(u) = -168*u**2 - 8*u - 12. Suppose -3*p - 16 = -p. Let j be m(p). Round j to the nearest one thousand.
-11000
Let n = -0.180192 + 0.18. Round n to five decimal places.
-0.00019
Let r = 3.154 - -0.046. Round r to the nearest integer.
3
Suppose -3*n + 196 = -8*u + 4*u, -2*n + 4*u + 132 = 0. Round n to the nearest ten.
60
Let k(y) be the third derivative of 9*y**5/20 - y**4/24 + y**2. Let h be k(-2). What is h rounded to the nearest 100?
100
Let l(g) be the first derivative of 899*g**4/4 + g**3/3 - g**2/2 + g + 1. Let k be l(1). What is k rounded to the nearest 1000?
1000
Suppose -7*i + 13333 = -22087. Round i to the nearest one thousand.
5000
Let n = 160.1 + -1005.1. Let t = n + 835.73. Let y = -8.8 - t. What is y rounded to one decimal place?
0.5
Let s = 28.4 + 1.6. Let f = 829175915 - 829175885.00000152. Let k = s - f. What is k rounded to 7 decimal places?
0.0000015
Let t = 52.7 + -335.7. Let u = 283.000131 + t. Round u to 5 decimal places.
0.00013
Let n = 323955 + -713955. What is n rounded to the nearest one hundred thousand?
-400000
Let o = 4.09 - 0.09. Let j = o + -3.96. Let r = 0.0399987 - j. What is r rounded to six decimal places?
-0.000001
Suppose -i - 3 = 4. Let g(r) = 28*r**2 - 6. Let k be g(i). Suppose 5*d - 2544 = -2*q, 4*d - k = -3*q + 665. Round d to the nearest 100.
500
Let a = -1.251 - -1.11. What is a rounded to 2 dps?
-0.14
Let l = 55 - 25. Let s = 30.042 - l. Let o = s - -0.015. Round o to 2 decimal places.
0.06
Let j(n) be the third derivative of 13843*n**5/15 - n**4/12 + 5*n**3/3 - 2*n**2. Let c be j(11). What is c rounded to the nearest 1000000?
7000000
Let p = -190062881 - -190063000.999937. Let r = p - 120. What is r rounded to 5 dps?
-0.00006
Let t = 1.32 - 1.32000067. Round t to 7 dps.
-0.0000007
Let p = -619 - 364. Suppose 51 + 132 = -z. Let q = p - z. What is q rounded to the nearest 1000?
-1000
Let k = -346 + 611. Let u = k - 278.1. Round u to the nearest integer.
-13
Suppose 2*t + 1 = 3. Suppose 0 = n + 4*n. Let w be t + 1 + n + -650002. Round w to the nearest one hundred thousand.
-700000
Suppose 2*f - 11763159 - 27036835 = 4*y, -f - 48500003 = 5*y. What is y rounded to the nearest 1000000?
-10000000
Let v = -17417 + 17646.34. Let s = -225 + v. Let f = s + 0.16. Round f to the nearest integer.
5
Let f = -1.19 + 0.26. Let h = f - -1. What is h rounded to 1 decimal place?
0.1
Let p = 0.01 - -1.15. What is p rounded to 1 dp?
1.2
Let c be 1/(-5) + (-7)/((-35)/116). Round c to the nearest ten.
20
Let k be ((-9)/4)/(3/(-16)). Suppose 2*s + 500016 = -3*s - 4*d, -3*d = k. Round s to the nearest 1000000.
0
Let z = -171824 - -171824.099997. Let r = 0.1 - z. What is r rounded to 5 dps?
0
Let w = 1.323 - 1.30300096. Let u = -0.02 + w. Round u to seven dps.
-0.000001
Let f = 2.1 + -2.1055. Round f to 3 decimal places.
-0.006
Suppose -l - 181991 = -2*o - 4*l, 0 = -o - l + 90997. Round o to the nearest 10000.
90000
Let z = 0.002 - 0.0075. Round z to four decimal places.
-0.0055
Suppose u + 2*k + 2305858 + 894146 = 0, u + 3200006 = -3*k. Round u to the nearest one million.
-3000000
Let t = -5.7 - -6. Let b = t - 0.2948. Round b to three decimal places.
0.005
Let i = -0.29 - -0.16. Let q = -0.2 - i. Round q to two decimal places.
-0.07
Let h = -7 + 8. Let s = h + -0.99999975. Round s to seven dps.
0.0000003
Let m be (93000/(-45))/(2/1200). Round m to the nearest 100000.
-1200000
Let v(w) = w - 2. Suppose j - 4*j = 0. Let o be v(j). Let a be o + 2 - (91001 + -1). What is a rounded to the nearest 10000?
-90000
Let y = 10754.0024 + -10750. Let d = y - 4. What is d rounded to three decimal places?
0.002
Let d = -0.9 - 2. Round d to the nearest integer.
-3
Let c = -12.3 - -13. Let t = 0.70003 - c. Round t to 5 dps.
0.00003
Let a be (-10)/(-55) + 31/11. Suppose 2*y + 3*i = -799997, y - i - 799999 = a*y. Round y to the nearest one hundred thousand.
-400000
Let o(n) = -1100001*n**2 + 2*n + 3. Let x be o(3). What is x rounded to the nearest one million?
-10000000
Let d = 63057 + -62963.043. Let z = 94 - d. What is z rounded to 2 decimal places?
0.04
Let a(f) = f - 10. Let d be a(10). Suppose 2*g + g = d. What is g rounded to the nearest ten thousand?
0
Let u(a) = -3166835*a + 1. Suppose -2*r - 2*r + 8 = 3*w, 0 = -4*w + 4*r - 36. Let s be u(w). Let i = 8367341 - s. What is i rounded to the nearest one million?
-4000000
Let f = 0.04 + 6.96. Let b = f + -7. Let h = b + -0.11. What is h rounded to one decimal place?
-0.1
Let o be 24000/((4 - 3)/30). Round o to the nearest one hundred thousand.
700000
Let k = -1196205 + 1196354.9937. Let p = -271 + 121. Let l = k + p. What is l rounded to 3 decimal places?
-0.006
Suppose v = -2*v, 3*q - 2*v = 6. Suppose q*p = -p + 4*s + 762, p = -s + 247. What is p rounded to the nearest 100?
300
Let x = -134191367.0012 + 134151571. Let y = x - -39803. Let h = y - 7. Round h to three dps.
-0.001
Let s be (3 - -1 - 3)*2. Suppose s*u + 5*n - 655592 = -2115612, 3*n - 2919988 = 4*u. What is u rounded to the nearest 100000?
-700000
Let h = -18.96 - -20. Let f = 5.6 - 5.13. Let r = h - f. What is r rounded to one dp?
0.6
Let c = 28139184.0999966 + -28139181. Let u = c - 3.1. Round u to 6 dps.
-0.000003
Let v(z) = -z**2 + 6*z + 3. Let d be v(6). Suppose -3*s = -3, -d*a = 3*s - 17421 - 21582. What is a rounded to the nearest 1000?
13000
Suppose -3*l + 2 = 2*k, 2*k + 2 - 4 = -l. Suppose l = 3*h - 38 + 8. What is h rounded to the nearest 100?
0
Let i = 8 - 7.97. Let k = i - 0.04. Let z = 0.01024 + k. Round z to 4 decimal places.
0.0002
Let t = 21332860 + -21332879.999954. Let c = -9 - -29. Let i = c + t. What is i rounded to five dps?
0.00005
Let t = 247118 + -247103.0007. Let i = t - 15. Round i to 3 decimal places.
-0.001
Let f = 254.3098 + -257.31. Let i = 4 + -1. Let w = f + i. What is w rounded to 4 decimal places?
-0.0002
Let k = -45.99999696 - -46. Round k to 7 dps.
0.000003
Let j(w) = -12196*w**2 - 9*w + 9. Let o be j(8). Suppose -2*m + 7*m = -203035. Let g = m - o. Round g to the nearest 100000.
700000
Suppose k - 314 = -q, 4*k = -q - 431 + 1690. Suppose 0 = -u + 3*u + 12. Let w be 16/3*k/u. What is w rounded to the nearest 100?
-300
Let r = 27.132 + -27. What is r rounded to two dps?
0.13
Let o = -12519 - -8739. What is o rounded to the nearest one thousand?
-4000
Let k = 0.279 + 120.721. Let o = k + -121.00000122. Round o to 7 dps.
-0.0000012
Let z(h) = 532000*h**2 + 2
|
{
"pile_set_name": "DM Mathematics"
}
|
ded by o?
25
Suppose -i = n - 21, -6*n + 2*n = -20. Let h(j) = -j**3 + 11*j**2 + 11*j + 33. What is the remainder when h(12) is divided by i?
5
Suppose -2*p = -3*p - 4*n, -2*p + 60 = -4*n. Suppose -i - 4*t - 41 = 0, 3*t + p = -2*t. Let l = i + 40. Calculate the remainder when 104 is divided by l.
14
Let m = 23 + -20. Suppose -l - 5 = 0, -134 = -m*q + 3*l + l. What is the remainder when q is divided by 3?
2
What is the remainder when 8 + 245 + (1 - 6) + 1 is divided by 42?
39
Suppose 3*p - 2204 = -3*q + 28, 2976 = 4*p + 5*q. Calculate the remainder when p is divided by 109.
90
Let y = 18 - 6. Suppose 681 = 8*c + 649. Calculate the remainder when ((-1)/(-2))/(c/920*5) is divided by y.
11
Calculate the remainder when 1991 is divided by (-7680)/576*(-90)/16.
41
Let r(w) = -w**3 - 11*w**2 - 16*w + 32. Let c = 87 - 97. What is the remainder when r(c) is divided by 30?
2
Suppose -19 = 13*f - 6. Let z(o) = 33*o**2 - 6*o + 2. What is the remainder when 120 is divided by z(f)?
38
Calculate the remainder when 1529 is divided by 154 - (-6 - (-8 + 1))*1.
152
Let y(n) = -5*n**3 - 10*n**2 - 47*n - 112. Calculate the remainder when 788 is divided by y(-3).
48
Suppose -2*l = -l - 3, -4*v - 9 = -3*l. What is the remainder when 433 is divided by 155/5 + 1/5*v?
30
Let n = 55 - 14. Suppose -62*l + 59*l = -69. What is the remainder when n is divided by l?
18
Let l be (3*-4)/(-3) - -4. Let p(s) = s - 6. Let n be p(l). What is the remainder when 17 is divided by n/((-2)/20*-4)?
2
Let u = 327 - 338. Let w(n) = -n**2 - 18*n - 64. Calculate the remainder when 85 is divided by w(u).
7
Let f = 4508 - 4504. Calculate the remainder when 108 is divided by f.
0
Suppose 116145 = 28*s - 165843. Calculate the remainder when s is divided by 73.
70
Let u(p) = 3*p - 53. Let i be u(27). What is the remainder when 17/(88/i - 3) is divided by (-2)/4*(-31 + 7)?
11
Calculate the remainder when 3292/((2 - (-11)/(-5)) + (-2576)/(-1680)) is divided by 275.
269
Suppose -137*y + 2180 = 81*y. What is the remainder when 188 is divided by y?
8
Suppose -5*s = -2*j + 273, 53*s = -4*j + 57*s + 540. What is the remainder when 419 is divided by j?
17
Suppose -27*x + 33*x - 330 = 0. Suppose 1608 + 1789 = 93*f + 142. Calculate the remainder when x is divided by f.
20
Let k(h) be the second derivative of h**4/12 - 5*h**3/3 + 43*h**2/2 + 12*h - 2. What is the remainder when k(9) is divided by 21?
13
Let z(d) = 38*d + 190. Let x be z(-5). Suppose -6*a + 8*a - 3*h = x, -3*h + 42 = 5*a. What is the remainder when 41 is divided by a?
5
Suppose -2*c + 92 = 4*u, c = -2*c + u + 159. Suppose -144*z + 141*z = -111. What is the remainder when z is divided by 3/(-1 + c/40)?
7
Let l(w) = -w**2 - 2*w + 17. Let t be l(-5). Let o(y) = 2*y**t - 28 - 3*y**2 + 3*y - 2*y**2 + 4*y**2. What is the remainder when 22 is divided by o(5)?
10
Let a(j) = 61*j - 164. Let u(d) = 60*d - 166. Let y(f) = -3*a(f) + 4*u(f). What is the remainder when y(10) is divided by 50?
48
Suppose -3*a + y = 2*y - 455, -2*y = 5*a - 757. Let q(x) = x**2 + 41*x - 149. Let w be (-5)/15 + (-402)/9. What is the remainder when a is divided by q(w)?
29
Let m = -4807 - -5021. Calculate the remainder when m is divided by (-4 - -1)/(3/(-107)) + 2.
105
Suppose 5*j - 16 = 3*i, -2*i + 12 = j - 7*i. Suppose 4 = -3*p - 6*q + q, -q - j = p. What is the remainder when 87/(5 - (-12)/p) + 2 is divided by 15?
14
Let r(b) = -9*b + 2*b**2 + 13*b + 6*b - 40*b + 23. Let w(l) = -l**3 + 12*l**2 - 11*l. What is the remainder when w(10) is divided by r(15)?
21
Suppose -48 = -4*b - 44. Let w be (-15 - -2)/1 + 5. Calculate the remainder when ((-396)/w)/9*2/b is divided by 5.
1
Suppose -2*g = 2*g - 40. Suppose -6*w - 10 = 3*q - w, 0 = 4*w + 8. Suppose o = 2*d - 2, -d + 2*d - o + 1 = q. Calculate the remainder when g is divided by d.
1
Let r(w) = 2*w - 3. Let z be r(3). Suppose 0 = -64*y + 30*y - 68. Calculate the remainder when 226 is divided by y/(20/(-95))*(z - -1).
36
Let t be 6/(-2) + 1*-6*1. Let z be (4/(-6))/(-2) - 42/t. Suppose -l - z*o = -3*l - 7, -9 = -3*o. What is the remainder when 12 is divided by l?
0
Suppose 30*t - 38*t + 40 = 0. Suppose 0 = t*a + 3*l - 86, 4*a + l - 27 - 39 = 0. Suppose -21 = 2*o - 207. What is the remainder when o is divided by a?
13
Calculate the remainder when 168402/234 - 3/3 - 2/3 is divided by 146.
134
Suppose -5*g - 15*r + 1146 = -14*r, 0 = -3*r + 18. What is the remainder when g is divided by 81?
66
Suppose 2*p = -3*f + 124, -4*f = 3*p - 2*p - 57. Let n = -38 + 41. What is the remainder when p is divided by n/(-9)*3 - -18?
14
Let f(k) be the second derivative of k**5/10 - k**4/2 + k**3/3 - 3*k**2/2 - 12*k. Let j be f(4). Let r = 52 - j. What is the remainder when 27 is divided by r?
12
Let q be ((-10)/(-6))/(-2 + (-65)/(-39)). Let f(b) = 7*b**2 - b - 20. What is the remainder when f(q) is divided by 84?
76
Suppose 13*z + 34 = 21. Let y(t) = 7*t + 27. What is the remainder when 439 is divided by y(z)?
19
Let h = 5166 - 5018. What is the remainder when 198 is divided by h?
50
Calculate the remainder when 497 is divided by -25 + 11 + 12 + 264.
235
Let t = -8223 - -8867. What is the remainder when t is divided by 635?
9
Suppose 3*x + 5*h = 353, 0 = -4*x - 20*h + 19*h + 431. What is the remainder when 107 is divided by x?
1
Suppose -388*n + 334*n = -56916. What is the remainder when n is divided by 296?
166
Let f(k) = -9*k - 10. Let a be f(-2). Suppose 7*n = -n - a. What is the remainder when (-6)/(-8)*n*-4*6 is divided by 11?
7
What is the remainder when (22 + (-64116)/(-91))/(2/7) is divided by 4?
3
Suppose -57*x + 10*x = 44*x - 728. What is the remainder when 1751 is divided by x?
7
Suppose 602*s + 5*m = 599*s + 15, 3*s + 2*m - 33 = 0. Calculate the remainder when 265 is divided by s.
10
Suppose -197 = l + 3*y - 1149, -4*l = 4*y - 3760. Calculate the remainder when l is divided by 68.
50
Suppose -3102 + 44281 = 108*b - 18869. Calculate the remainder when b is divided by 45.
16
Let t be (-22)/(-4) + 18/(-36). Let y(u) = 4*u - 24. Let p be y(t). Let z(l) = 3*l**2 - 3*l + 7. Calculate the remainder when z(p) is divided by 17.
16
Suppose -14160 = -14*q - 8 + 2732. What is the remainder when q is divided by 172?
2
Suppose 8*r - 252 = 4*r. Let i be 5*((-220)/30 + 2/6). Let g = r + i. Calculate the remainder when g is divided by 15.
13
Let u be ((-126)/(-49) - 2)*-7. What is the remainder when ((-9)/u)/((-3)/(-488)) is divided by 37?
33
Let l = 554 + -545. Calculate the remainder when 14 is divided by l/(-54) - (-62)/12.
4
Suppose 2*s - 4 = -2*p, 0 = -2*p - p - 4*s + 3. Suppose 68 = 2*o - 2*n - 40, p*o - 262 = 3*n. Calculate the remainder when 199 is divided by o.
49
Let w(b) = -58*b**3 - b**2 + b - 1. Let q be w(1). Let o = 5487 - 5291. Let r = o + q. Calculate the remainder when r is divided by 35.
32
Let d(o) = 4*o**2 + 31*o - 47. What is the remainder when d(8) is divided by 148?
13
Suppose 2*x + 1089 + 1253 = 4*d, 0 = -2*x + 2. What is the remainder when d is divided by 57?
16
Let f = -1908 - -1914. What is the remainder when 107 is divided by f?
5
Let s = -77 - -103. Suppose -a = 4*t + 66 + 57, -5*t - 185 = -5*a. Let m = 49 + t. Calculate the remainder when s is divided by m.
9
Suppose -879 = -3*l + 158*r - 157*r, -5*l + 1463 = -2*r. What is the remainder when l is divided by 80?
55
Let f(g) = 72*g + 357. Let z(u) = 24*u + 119. Let t(r) = -3*f(r) + 8*z(r). What is the remainder when t(-6) is divided by 10?
5
Let y = -4829 + 4918. What is the remainder when 367 is divided by y?
11
Let d = 413 + -353. Suppose m - 82 = -d. Calculate the remainder when 38 is divided by m.
16
Let r(u) = 2*u**2 + 6*u + 5. Let g = -38 + 39. Let f be (-5)/g - -2 - (-2 - -2). Calculate the remainder when 12 is divided by r(f).
2
Let x(c) = c - 4. Let u be x(6). Let r(w) = 21*w + 1. Let l(n) = -n**2 + 27*n + 956. What is the remainder when r(u) is divided by l(47)?
11
Suppose 2 = -s, -4*s + 89 = 3*t - 122. Let q = 89 - t. Calculate the remainder when 140 is divided by q.
12
Suppose -285 = -5*z - 90. Suppose 29 = 4*b - z. Let c(m) = -6*m**2 - 76*m + 122. What is the remainder when b is divided by c(-14)?
7
Let o(a) = -24*a + 842. Calculate the remainder when 144 is divided by o(30).
22
Let b be 22/6 + ((-12)/9)/(-4). Suppose b*v = 8*v - 116. Suppose 84*t - 62*t - 12
|
{
"pile_set_name": "DM Mathematics"
}
|
= -29*f - 43. Let z(s) = 18*s + 44. Determine 2*v(n) + 3*z(n).
-4*n + 46
Let t(y) = -335*y**3 - 8*y + 6. Let q(r) = -112*r**3 - 3*r + 2. Determine -8*q(m) + 3*t(m).
-109*m**3 + 2
Let y(h) = -1. Suppose -10*f + 11*f = 4*r - 5, -32 = -5*f + r. Suppose 41*z = 48*z - f. Let u(b) = -8*b - 5. What is z*u(o) - 5*y(o)?
-8*o
Let n(f) = -f**3 + 3*f**2 - f + 5. Let c(w) = 10*w**3 - 5*w**2 + 2*w - 86. Determine -c(o) - 2*n(o).
-8*o**3 - o**2 + 76
Let b(u) = 4 - 964*u**2 - 2 - 7*u - 948*u**2 - 957*u**2 + 2879*u**2. Let x(n) = -21*n**2 + 15*n - 5. What is -9*b(k) - 4*x(k)?
-6*k**2 + 3*k + 2
Let h(w) be the second derivative of 7*w**4/12 + w**3 + w**2 - 7*w - 547. Let u(y) = -7*y**2 - 7*y - 3. Calculate -3*h(c) - 2*u(c).
-7*c**2 - 4*c
Let b(o) = 7*o - 2. Let r(q) = 7*q**2. Let y be r(1). Let g(s) = -7 + s + y. Let t(h) = h**3 + 2*h**2 - 96*h - 96. Let c be t(-1). Calculate c*b(j) - 4*g(j).
3*j - 2
Let v(r) = 2*r + 2. Let l(j) = -1176*j + 2016. Determine l(o) - 1008*v(o).
-3192*o
Let j(h) = 2*h - 11. Let l = 13317 - 13320. Let r(t) = -t + 10. What is l*j(f) - 4*r(f)?
-2*f - 7
Let w(b) = -10*b**2 - 219*b + 2. Let y(o) = -9*o**2 - 217*o + 2. Determine 6*w(p) - 7*y(p).
3*p**2 + 205*p - 2
Let y(k) = 37*k. Suppose -3*v - 5*l = 1, 2*v = -130*l + 128*l - 2. Let m(f) = 37*f. Determine v*m(g) + 3*y(g).
37*g
Let o(s) = -2*s + 58. Let w(u) = -10*u + 238. Give 9*o(b) - 2*w(b).
2*b + 46
Let n(m) = 5*m**3 + 4*m. Let w be 63*1*(6 + -2)/12. Let j = w - 9. Let t = 23 - j. Let s(y) = 14*y**3 + 11*y + 1. What is t*n(b) - 4*s(b)?
-b**3 - 4
Let l = -183 - 240. Let c = l + 430. Let x(k) = -31*k**2 + 7*k - 7. Let j(u) = -10*u**2 + 2*u - 2. What is c*j(t) - 2*x(t)?
-8*t**2
Let u(r) = -1650*r**3 + 81*r**2 - 8*r - 2. Let k(p) = -825*p**3 + 48*p**2 - 5*p - 1. Give 5*k(a) - 3*u(a).
825*a**3 - 3*a**2 - a + 1
Let j(w) = 108*w - 9. Let c(l) = 67*l - 5. Calculate 5*c(s) - 3*j(s).
11*s + 2
Let v(s) = -2123*s + 12. Let o(j) = 1412*j - 7. Calculate -8*o(t) - 5*v(t).
-681*t - 4
Let o(l) be the first derivative of -l**2 + 11*l + 221. Let t(z) = z**3 - 5*z**2 - 7. Let w be t(5). Let m(p) = p - 5. Give w*m(h) - 3*o(h).
-h + 2
Let q(v) = -25*v + 11. Let f(n) = -188*n - 2071. Let y be f(-11). Let t(b) = 12*b - 5. What is y*q(u) - 7*t(u)?
-9*u + 2
Let r(n) = 43*n**3 + 6*n**2 - 6166*n + 3. Let o(d) = -72*d**3 - 10*d**2 + 12334*d - 5. Give 3*o(c) + 5*r(c).
-c**3 + 6172*c
Let j(g) = 22370*g**3 - 9*g + 3. Let o(k) = 4406887*k**3 - 1770*k + 590. Determine 590*j(a) - 3*o(a).
-22361*a**3
Let k(j) = 2*j**2 - 23*j + 15. Let b(g) = g**2 - 11*g + 7. Suppose 0 = -3*v - 13 + 109. Suppose -v*p - 156 = -20*p. Calculate p*b(f) + 6*k(f).
-f**2 + 5*f - 1
Let p(h) = -11*h**2 + 13*h + 16. Let v(o) = 6*o**2 - 6*o - 8. Determine -3*p(a) - 5*v(a).
3*a**2 - 9*a - 8
Let d(x) = -2*x**2 + 5*x + 6. Let n(r) = r**2 - r. Let v(h) = -8*h**2 - 213*h + 84. Let g be v(-27). What is g*n(l) + d(l)?
l**2 + 2*l + 6
Let q(a) = 80501 + 80496 + 5*a - 160999. Let z(l) = -85*l + 35. Let d be -2*3/(-6)*0. Suppose 2*w - 4*w + 70 = d. Calculate w*q(i) + 2*z(i).
5*i
Let w(k) = 23*k - 2503. Let p(x) = 28*x - 2505. Give 5*p(r) - 6*w(r).
2*r + 2493
Let k(p) = 12*p**2 - 21. Let o(b) be the third derivative of b**5/20 - 5*b**3/6 - 517*b**2 + 2*b. Give 5*k(l) - 21*o(l).
-3*l**2
Let c(h) = -39*h**3 + h**2 + 2*h + 5. Let o be c(-3). Let g(w) = o*w - 1061*w + 13 - 12*w**3 - 2*w**2. Let n(b) = 6*b**3 + b**2 - 6. What is -6*g(p) - 13*n(p)?
-6*p**3 - p**2
Let o(k) = 35*k**2 + 2*k. Let r(h) = -99*h**2 + 17854636*h - 17854643*h - 6*h**2. Give 7*o(c) + 2*r(c).
35*c**2
Suppose -209*f + 208*f - 409 = 2*v, -3*f = -5*v - 1028. Let k(z) = -2296*z. Let r(s) = -45*s. Calculate v*r(g) + 4*k(g).
41*g
Let x(t) = -4*t**2 - 2*t + 569. Let i(d) = 2*d**2 + 2*d - 573. Determine 4*i(v) + 3*x(v).
-4*v**2 + 2*v - 585
Let l(c) = -12*c**2 - 3*c - 3. Let t(p) = -24*p**2 - 6*p - 7. Let w = -19090 + 19097. Give w*l(x) - 3*t(x).
-12*x**2 - 3*x
Let x(c) = -11*c + 4. Let h(s) = -6*s - 91. Let v be h(-16). Let z(g) = -41*g - 5 + 7 + 75*g + v - 56*g. Give 7*x(w) - 4*z(w).
11*w
Suppose -3 = -4*n + 9. Let o(l) = -13*l + 132. Let y be o(10). Let x(i) = -6*i. Let k(g) = 6*g - 1. Give n*x(b) + y*k(b).
-6*b - 2
Let b(n) = -498*n**3 + 24*n**2 - 51*n. Let k(x) = 62*x**3 - 3*x**2 + 6*x. Give -2*b(o) - 17*k(o).
-58*o**3 + 3*o**2
Let p(r) = -5*r + 77. Let y(v) = 15*v - 153. Determine 5*p(n) + 2*y(n).
5*n + 79
Suppose 2*i - 3*i = 2. Let j(c) = -2 + 13*c**2 - 5*c + 0 - 4*c**2 - 1. Let d(q) = 4*q**2 - 2*q - 1. Let m = 6 + -1. Calculate i*j(l) + m*d(l).
2*l**2 + 1
Let w(a) = 8052*a**2 - 28*a + 7. Let f(n) = 2684*n**2 - 8*n + 2. Give 7*f(h) - 2*w(h).
2684*h**2
Let m(y) = -27*y + 7. Let b(d) = 84*d - 22. What is -3*b(u) - 8*m(u)?
-36*u + 10
Let g(k) = 15*k**3 - 17*k**2 + 323*k - 22. Let j(i) = -6*i**3 + 7*i**2 - 129*i + 9. What is 5*g(t) + 12*j(t)?
3*t**3 - t**2 + 67*t - 2
Let n(h) = 5*h + 1. Let q(x) = -246*x - 13. Determine -6*n(y) - q(y).
216*y + 7
Let x(h) = -6*h**3 + 5*h**2 + h - 8. Let u(i) be the second derivative of -i**5/20 + i**4/12 - i**3/6 - i**2/2 - 2*i + 272. Determine -5*u(s) + x(s).
-s**3 + 6*s - 3
Let p(i) = -i**3 - 2*i**3 + 2*i**3. Suppose -22 = -3*x + 2*y - 2, -2*x = -2*y - 14. Let r be 0 - 0/2 - x. Let m(f) = 4*f**3 - 4. What is r*p(h) - m(h)?
2*h**3 + 4
Let a(v) = -39*v + 6. Let x(i) = 35*i - 5. Let m(t) = 5*a(t) + 6*x(t). Let c(z) = 14*z. Give 3*c(u) - 2*m(u).
12*u
Let p(f) = -212*f**3 - 5*f**2 - 10*f + 10. Let v(u) = 106*u**3 + 2*u**2 + 4*u - 6. Give 2*p(i) + 5*v(i).
106*i**3 - 10
Let i(p) = 4*p - 6. Suppose 5*h + 0*h = -35. Let o(j) = j**2 - 4*j - 7. Let v be o(-2). Let a(r) = 4*r - v*r - 7*r + 4 + 5*r. What is h*a(t) - 5*i(t)?
t + 2
Let r(u) = 5*u + 4. Let i(l) = l + 1. Let n(a) = -4*i(a) + r(a). Let x be ((-5)/(-10))/(2*(-9)/36). Let p(w) = w**3 + w. What is x*n(q) + p(q)?
q**3
Let l(c) = -c**3 - c**2 - 2*c - 5. Let i(v) = 2*v**3 - 41*v**2 - 6*v + 4. Determine -i(n) - l(n).
-n**3 + 42*n**2 + 8*n + 1
Let i(x) be the second derivative of -2*x**3/3 + x**2 - 10129*x. Let o(l) = -4*l + 2. Give -7*i(z) + 6*o(z).
4*z - 2
Let t(r) = -2*r**3 - 5*r**2 + 2*r - 10. Let y(s) = s**2 + s + 2. Let f(c) = -t(c) - 7*y(c). Let o(v) = v**3 - 2*v**2 - 8*v - 3. Determine -3*f(q) + 4*o(q).
-2*q**3 - 2*q**2 - 5*q
Let z(j) = -2*j**3 + 4*j**2 - 2*j - 43. Let o(l) = 2*l**3 - 4*l**2 + 2*l + 43. Give 3*o(k) + 4*z(k).
-2*k**3 + 4*k**2 - 2*k - 43
Let i(h) = 480*h - 251*h - 226*h. Let z(t) = -12*t - 3. Let c(g) = g + 1. Let v(w) = -3*c(w) - z(w). Give -8*i(j) + 3*v(j).
3*j
Let s be ((924/36)/7)/(0 - (-4)/12). Let n(c) = -c**2 + 7*c. Let p(z) = 3*z**2 - 21*z. Determine s*n(d) + 4*p(d).
d**2 - 7*d
Let r be (4 - 3)/(41/(-7) - -6). Let u(n) = 17*n + 6. Let c(a) = -16*a - 5. Give r*c(j) + 6*u(j).
-10*j + 1
Let i(z) = 44*z**3 - 7*z**2 + 2*z - 2. Let u(n) = -86*n**3 + 15*n**2 - 5*n + 5. What is -5*i(s) - 2*u(s)?
-48*s**3 + 5*s**2
Let t(u) = -2*u + 3. Let c(o) be the second derivative of o**3/6 - 1373*o. Determine -4*c(q) - t(q).
-2*q - 3
Let v(i) = -i**3 - 7*i - 1. Let y be v(0). Let d(l) = -4*l**3 - 4*l**2 + 2*l + 7. Let u(m) = m**3 + m**2 - 1. Calculate y*d(z) - 6*u(z).
-2*z**3 - 2*z**2 - 2*z - 1
Let t(c) = 304*c - 96. Let n be 1/2*6 - (-35)/(420/(-96)). Let j(y) = 16*y - 5. What is n*t(v) + 96*j(v)?
16*v
Let v(x) = -15*x**3 - 4*x**2 - 4. Let o(b) = -510*b**3 - 135*b**2 - 135. Let h = -90 + 94. Calculate h*o(q) - 135*v(q).
-15*q**3
Let k(o) = -291*o + 9. Let c(q) = 230*q - 7. Give 14*c(y) + 11*k(y).
19*y + 1
Let s(g) = -7*g + 717. Let h(a) = -a + 5. What is -3*h(i) + s(i)?
-4*i + 702
Let w(m) = -88*m + 36. Let f(x) = -16*x + 6. Let j(l) = 28*f(l) - 5*w(l). Let c(s) = s + 1. What is -12*c(z) - j(z)?
-4*z
Let v(t) = -t**2 - 64*t - 4 + 118*t + 5*t**3 - 57*t. Let q(c) = -c**3 + c + 1. Give 3*q(w) + v(w).
2*w**3 - w**2 - 1
Let q(x) = -6*x**2 - 11. Let r(b) = -3*b**2 - 6. Let l(g) = -2*g + 23. Suppose -2*c = -0*c - t - 18, 3*c - 30 = 3*t. Let v be l(c). Give v*r(s) - 4*q(s).
3*s**2 + 2
Let t(b) = 9*b**2 + 4*b + 1. Let u = -985 - -997. Let d be ((-3)/2)/((-6)/u). Let v(k) = -8*k**2 - 3*k - 1. What is d*t(q) + 4*v(q)?
-5*q**2 - 1
Let y(q) = -7*q + 2414. Let z(t) = 16*t - 4818. Give -9*y(g) - 4*z(g).
-g - 2454
Let y(u) = -2*u - 123. Let f(p) = -4*p + 7 + 2*p + 73 + 2 + 3*p. What is 8*f(g) + 5*y(g)?
-2*g + 41
Let x be 3
|
{
"pile_set_name": "DM Mathematics"
}
|
3*n - q = 10. Solve -2*i - 2*i = 2*r - 14, -n*i = -r - 5 for i.
2
Suppose -q = 3*i - 14, 3*i + q + 6 = 4*q. Let c = -30 + 30. Suppose -i*t + c*t = 0. Solve 1 = -r + 5*l + 5, -5*r - 5*l + 20 = t for r.
4
Suppose -2*g - 4*g + 12 = 0. Let a(s) = s**2 - 4*s - 12. Let x be a(7). Solve 3*d - 3*l + x = 0, d + 2*l - 4 = g for d.
0
Let c = 26 + 25. Suppose c = 8*f + 11. Solve -3*a + 0*a = 0, -20 = f*y - 5*a for y.
-4
Let l(c) = -c**2 + 5*c + 5. Let t be l(5). Suppose z - 3 = -2*j, 0*z = t*j - z - 11. Suppose -12*g + 59*g + 7*g = 0. Solve -3*n = g, 0 = j*x + n - 6*n for x.
0
Let h(w) be the second derivative of -w**3/6 + 5*w**2 + 2*w - 20. Let u be 0 + 0 + (-7)/(-1). Let o be h(u). Solve 4*g + 10 = -o*n, 2*g + 4 = -n - 2 for g.
-4
Let y be (267/356)/(2/8). Solve 5*h + 19 = 5*o - 6*o, -21 = 3*o + y*h for o.
-4
Suppose 20 = -8*c + 44. Solve 15 = -3*a - 2*a - 5*j, a - j - c = 0 for a.
0
Let w(k) = k + 15. Let f be w(0). Suppose f = l + 10. Solve i = 3*z + 14, l*z - 4*i + 8 + 13 = 0 for z.
-5
Suppose -3*f + 3*n - 6 = 4*n, 4*f = 2*n - 8. Let t = 2 + f. Let m(q) = 2*q - 4. Let u be m(4). Solve 2*p - 2 = -t*p, 8 = -u*k + 4*p for k.
-1
Suppose -6*u = -20 + 8. Solve 3*t = 19 - 4, -u*b = 2*t - 10 for b.
0
Let x = 51 + -48. Let i be -2 - (-5)/(10/4). Solve i*q = 4*s + x*q - 9, -5*s - 4*q + 12 = 0 for s.
0
Let y(u) = -15*u + 12. Let j be y(2). Let h = j + 23. Solve -3*x + 15 = 0, -h*b - 2*x = -0*b - 25 for b.
3
Suppose -3*s = 9, 20*p + 3*s - 39 = 17*p. Solve -n + 4*b + p = 0, 0*n - 5*n = 3*b + 35 for n.
-4
Let k(f) = f**3 - f**2 - f - 171. Let v be k(0). Let b be (-4)/18 - 380/v. Solve -2*q - b = -s + 10, 0 = -3*s + 3*q + 21 for s.
2
Let d(l) = l**2 - 17*l + 18. Let a be d(16). Let t = -7 + 16. Let p be 0/(0 - (2 - 0)). Solve 4*h + x = t, -3*h + p*x - 7 = -a*x for h.
1
Let t = 59 - 55. Suppose -8*r + 6*r = -t. Solve -r*o + 3*u = -7*o - 20, u = 3*o - 2 for o.
-1
Let c = -427 + 432. Solve -3*f + 8*f - 40 = -c*t, -t + f + 2 = 0 for t.
5
Let h = -55 - -64. Solve -v - 2*v = -5*i + h, -v = -4*i + 3 for v.
-3
Suppose -4*b - 6 = -3*r - 125, b - 16 = -2*r. Suppose 4*z - b = -6. Solve 3*k - 2*u + 1 - 3 = 0, -u = z*k + 14 for k.
-2
Let n(b) = -b**3 - 16*b**2 + 78*b - 35. Let a be n(-20). Solve a*g + 30 = 5*m, -21 = -3*m + 2*g - 4 for m.
5
Let u(g) = 2*g + 77. Let i be u(-37). Suppose -2*w - 4*x = 8, 0*x + 3 = -x. Solve -i*c - 5*s - 5 = -c, s = -c + w for c.
5
Suppose 9*v - 4*v = -3*r + 114, 5*v = 2*r + 99. Let d be 14 + -10 + 14 + -3. Solve -4*h + 4*k = -d - v, 2*h = -2*k + 2 for h.
5
Let n be -1 + -2 - -1*4. Suppose 398 - 389 = 3*g. Solve -2*q - n = -f + g, 2*f - q - 5 = 0 for f.
2
Let y be ((-5)/15)/(34/(-306)). Solve 0 = f + 3*w + 5, 0 = -f + y*w + 5 + 2 for f.
1
Let h be (-12)/(-14)*140/40. Solve -5*n + h*n = 4*a + 14, 0 = -4*n - 4*a - 16 for n.
-1
Let t = 64 + -62. Solve 0 = 2*x + 3*o + 6 + 5, t*x + 16 = -4*o for x.
2
Let i(y) = y**3 - 24*y**2 + 21*y + 49. Let f be i(23). Solve 0 = 5*d - 5*j + 30, -5*d + 6*d - 14 = -f*j for d.
-1
Suppose 3*f = -0*f - 246. Let l = f - -49. Let s = -28 - l. Solve -8 = -h - s*i, -h + 2*h + 3*i - 4 = 0 for h.
-2
Let h = 1405 - 1403. Solve 0 = n - 3*g - 10, -4 = 5*n + h*g + 31 for n.
-5
Suppose 8*l = 2*l + 42. Suppose 0 = 2*g - l*g. Solve -13 = 5*f + v, g = 3*f + 2*v + 4 + 1 for f.
-3
Suppose 0 = -4*p + 14 - 2. Suppose -4*t + 34 = 14, 3*q + 3*t = 24. Suppose q*b + 9 - 21 = 0. Solve -2*x - w = 2*x - 16, 0 = p*x + b*w - 12 for x.
4
Suppose -162*m - 28 = -169*m. Solve 4*o = -2*k, 0 = 5*k + 3*o - m*o for k.
0
Suppose 5*p = -2*w + 24, -5*w + 8 - 2 = -p. Let c be w/(-2)*250/(-10). Solve -5*u = -5*m - c, -3*m + 2*u + 2*u - 15 = 0 for m.
-5
Let d(i) be the second derivative of -2*i**3/3 + 57*i**2/2 + 8*i. Let r be d(13). Solve -5 = -0*p + p, r*p + 15 = -2*v for v.
5
Suppose 3*q - 70 = -61. Solve q*o - 4*u + 2*u = 8, -2*o + 8 = -4*u for o.
2
Let y(u) = -u**3 + 15*u**2 - 26*u + 3. Let j be y(13). Suppose 0 = -j*p + n - 3*n + 34, n = 4*p - 49. Solve -4*o - 5*k - 31 = 0, -5*o - k - 11 - p = 0 for o.
-4
Let v = 581 + -578. Solve -2*b + v*b + 3 = -y, -5*b - 7 = y for b.
-1
Let r = 50 + -2. Let c be (1/3)/((-4)/r). Let u be c/(12/(-21)) - 1. Solve -2*s = -5*h - u*s + 37, 4*h + s = 23 for h.
5
Suppose 5*g = 2*s - 39, s + 4*g = 2*s - 24. Solve 4*u + 0*j - 8 = 3*j, -4*u = -2*j - s for u.
5
Suppose -46*k = -56*k + 50. Solve g = k*w - w + 15, -2*w - 9 = -g for g.
3
Let c(r) = -r + 2. Let m be c(6). Let n be (1 - (-2)/m)*8. Solve n*h - a = 3 + 3, 3*h - 10 = -2*a for h.
2
Suppose 0 = 12*d - 55 - 5. Let c be (d/(-30) - 0)*-18. Solve -5*t = -c*r + 10, -3*t - 4*r - 8 = t for t.
-2
Let k(u) = 2*u**3 + 21 + 58*u**2 + u - u**3 - 42*u**2. Let n be k(-16). Solve -7*v = 2*j - 2*v - 1, -5*v = n*j + 5 for j.
-2
Let o(u) = u + 1. Let h be 0/9 - (-1 - 1). Suppose -6*k + k - 12 = -3*b, 4*b = h*k + 2. Let s be o(b). Solve -2*w = -3*w + 2*d - 1, s = -3*d - 3 for w.
-3
Suppose 42*q = 39*q + 15. Solve c + w = -3*c + 5, 5*c + q = w for c.
0
Let b = 54 - 76. Let w = -20 - b. Solve -11 = 3*i + 2*o, -i - 3*o - 9 = w*i for i.
-5
Suppose -8*g = -10*g + 4. Suppose 5*h = g + 13. Solve -3*a = -4*i - 2*a - 12, i + 2*a + h = 0 for i.
-3
Suppose -3 = -4*j + 1. Let t = j + 4. Solve 2*x + 0*x = m + t, 0 = -4*x + 5*m + 7 for x.
3
Suppose -5*p = d + 7 - 16, 0 = -d + 4*p. Solve 2*f = 2*s + 6, -6 = d*f + 2*s + 3*s for f.
1
Suppose -4*s + 40 = 2*k - 12, 4*k = -s + 13. Let x = s + 9. Suppose -3*m = -5*z - 2*m + 135, 5*m = -z + 1. Solve 2*p + z = 5*n, 0*p - 2*p + 4*n = x for p.
-3
Suppose -4*u + 3*y = -u - 9, 6 = 2*u - 3*y. Suppose -l = 0, -2*c + u*l - 5 = -3*c. Solve 2*t + 2*t = q - 15, c*t + 12 = -q for t.
-3
Let l be (-52)/(-20) - 15/25. Suppose 0 = 4*s + r - 20, -3*r = -3*s + 7*s - 28. Solve 4 = s*c - 4*h, -2 = 2*c - 4*c - l*h for c.
1
Let n(y) = y**2 + 3*y + 1. Let w be n(-3). Let r be w - (6 + -9 + (0 - 0)). Solve 4*l = r*o + 2*l + 20, 5*o + l + 11 = 0 for o.
-3
Let x = 126 - 126. Suppose j = -5*l + 33, 3*l + x = 15. Solve 5*s = 5*o + 3*s + 20, -2*o - j = -5*s for o.
-4
Let m be -18 + 32 - 1/(-1). Solve -23 = 5*z + 3*r, 5*z = -0*r + 5*r - m for z.
-4
Let d be (5 - 1) + -2 + 3. Let z(l) = -2*l. Let k be z(-1). Let q = -327 + 372. Solve d*v - 5*h = -q, -k*v + 5*h - 24 - 6 = 0 for v.
-5
Let v = 16 - 32. Let n be v/(-6)*(-45)/(-10). Suppose -26 = -5*t + 4*h + 11, 0 = -4*h - n. Solve k = -3*c + 2*c - 4, -t*c = 2*k + 20 for k.
0
Let n be (-3)/((-39)/2) - (-100)/26. Solve -14 = -v + n*w, w - 19 = -2*v + 6*w for v.
2
Suppose 10 = -0*x + 2*x. Solve 4*z = -3*r - x, -5*z - 3*r - r - 7 = 0 for z.
1
Suppose -5*r = -6*h + 4*h - 24, 0 = -3*h - 3*r - 36. Let b be (-93)/h + 3/12. Solve n = -n - 3*i + b, -6 = 2*n - 4*i for n.
1
Let y(x) = x**2 + 6*x - 13. Let d be y(-7). Let l be d/(-4)*(-130)/(-15). Solve -5*v - 2 = o, -o + l = 2*o - 4*v for o.
3
Let u = -462 + 463. Solve -n - u = n - r, -12 = 3*n + 2*r for n.
-2
Let k = 207 + -202. Solve d - 3 = 1, -k*n - 2*d = -3 for n.
-1
Let v be 66/55*10/3. Suppose 0 = v*g - 10 - 10. Solve t - g = -2*c, -29 = 2*t + t - 5*c for t.
-3
Let u be (-24)/(-30)*(-35)/2. Let m be 4/u - 111/(-21). Suppose 4*b + 13 = m*o, 5*o = 5*b + 10 - 0. Solve -4*z + f = o, z + 3*f + 8 = f for z.
-2
Let s(i) = -22*i - 1. Let n be s(-1). Suppose 0 = -5*c + 6 + 4. Suppose -h = c*h - n. Solve -5*f - y + h = 0, 0 = f - y - 0 + 1 for f.
1
Suppose -2*g = g, 3*o - 9 = -4*g. Let d be -2 + o + -2 + 3. Suppose 4*k = -d*f + 12, -6 = -4*f - 2*k + 6. Solve -5*s - 6 = -4*s - i, f*s - 5*i = -27 for s.
-1
Suppose 20 = 5*f + 5*a, 0*a - 3*a + 10 = f. Let c be (f + 2 + 1)/(5/5). Solve -3*u - 9 = c*w + 1, -5*u - 8 = -2*w for w.
-1
Let t = -324 + 327. Solve -c - 1 = c - 3*v, 5*v = -t*c + 8 for c.
1
Suppose 0*x - 2*y + 10 = 5*x, -3*x = 5*y - 6. Let v be (x - (-28)/(-15)) + 344/120. Solve -u - v = -2*o - 4, -u - 5*o = -15 for u.
5
Suppose -1 = -2*w + w. Let q be (-9)/(-1) + 2 - 2. Let p = -39 + 41. Solve 3*l + q = 0, p*l + w = j + l for j.
-2
Let l = -65 + 114. Let r = l - 31. Solve v = 4*g - r, 2*g - 4*v = 5*g - 4 for g.
4
Suppose 4 + 6 = 2*c. Let v = -1541 + 1541. Solve v = -h + 2*l + 3, 0 = -3*h - c*l + 2*l for h.
1
Suppose -3*k + 24 = -2*k. Let g(y) = -9*y + 40. Let l be g(4). Let o be (-2)/(l/k*-2). Solve 2*m + o*x = x - 8, 16 = -4*m - 4*x for m.
-4
Suppose 16 = -i + 5*t, 2*i - 5*t + 10 = -2. Let d be (2/(-3))/
|
{
"pile_set_name": "DM Mathematics"
}
|
he nearest 1000.
9000
Let y be (-9)/(9/(-2)) - -17. Suppose y = 6*v + 1. Suppose 5*l = -4*k - 392000, -2*k + v*k + 98000 = -4*l. Round k to the nearest 10000.
-100000
Let d = 56 - 49. Suppose d*q + 124753745 = 24653745. Round q to the nearest one million.
-14000000
Let d = 231 - -314. Let n = d + -1045. Round n to the nearest one hundred.
-500
Let h = -6 - -9. Let w be (-12000)/(-15)*(6150/4)/h. Round w to the nearest one hundred thousand.
400000
Let q = 30.00000768 + -30. Round q to 6 dps.
0.000008
Let j = -7.26 + 7.1381. What is j rounded to two dps?
-0.12
Let i = 146 - 228. Let l = i - -82.057. Round l to two dps.
0.06
Let q = 1.3 + -3.3. Let w = q + -13. Let g = w + 14.998. What is g rounded to 3 decimal places?
-0.002
Let b = -988.1081 - -5750429.1081. Let s = b - 5749440.80999948. Let o = -0.19 + s. Round o to seven decimal places.
0.0000005
Let c = 38844.8551 + -38841. Let m = c + 156.9839. Let l = -161 + m. What is l rounded to two dps?
-0.16
Let j(l) = -17939*l + 2. Let m be j(-3). Suppose 0 = -4*c + 36181 + m. What is c rounded to the nearest 1000?
23000
Suppose 318 = 2*i + 308. Let u(m) = -214*m**3 - 3*m - 2. Let h be u(-2). Let v be -2 - i/(10/h). What is v rounded to the nearest 100?
-900
Suppose 9 = 27*j - 24*j. Let p be 3 + 3/j - -231996. Round p to the nearest one hundred thousand.
200000
Suppose 2*k = k + 4, -k = 5*s - 120004. Round s to the nearest 1000.
24000
Let b = -4252.48387795 + 4181.48388. Let f = 71 + b. What is f rounded to 7 decimal places?
0.0000021
Let x = -1177.76 - -1266. Round x to 0 dps.
88
Let k = 13529 + -5564. Suppose 3*x = 2*t + t - 5976, 4*t - 5*x = k. Suppose -w + t = -v, -2*v - w - 3985 = -4*w. Round v to the nearest 100.
-2000
Let r = 2.67 + -1.41. Let s = r - 1.2559. Round s to 3 dps.
0.004
Let g = -110.6598 + -23.9112. Let p = g - -90.5862. Let n = p - -44. What is n rounded to 3 decimal places?
0.015
Let v = 1.5 - 1. Let o = -14131 + 14131.50001. Let s = v - o. What is s rounded to 5 decimal places?
-0.00001
Suppose -3*t + 5*a = a + 1830, -2*a - 1812 = 3*t. What is t rounded to the nearest 100?
-600
Let z = -242 + 241.999918. What is z rounded to 4 dps?
-0.0001
Let u = -973.752 + 952. Let x = u - -24.6. Let w = x + -2.9. Round w to 2 dps.
-0.05
Let o = 90.3 - 101. Let j = 10.7000102 + o. Round j to 6 decimal places.
0.00001
Suppose h - 147976 = -5*m, 3*h - 443976 = -0*h - 3*m. Suppose 0*y - y - c - h = 0, -3*c - 739988 = 5*y. What is y rounded to the nearest ten thousand?
-150000
Suppose 0 = -b - 21 - 15. Let a = 38 + b. Round a to the nearest 10.
0
Let m = 1343 - 1343.03828. Round m to 2 decimal places.
-0.04
Let d = 1082.6366 - 1083. Round d to 2 dps.
-0.36
Let j = 1.745 + -0.298. Round j to one decimal place.
1.4
Let d = -6764 - -6764.03291. What is d rounded to three decimal places?
0.033
Suppose 3*o - 9*o - 588 = 0. Let b(k) = 16*k**2 - 1. Let r be b(-2). Let i = r + o. Round i to the nearest ten.
-40
Let q = -0.06364 - 78.74636. Let m = 0.19 - q. Let r = m - 78.999937. Round r to 5 dps.
0.00006
Let h = -12.1 - -13. Let u = -12.7 - -13.7. Let v = h - u. Round v to 1 decimal place.
-0.1
Let u(w) = w - 1. Let x be u(6). Suppose 9 = -3*c, -113251235 = -x*i - 2*c - 3*c. Suppose -i = -3*y + 6449750. What is y rounded to the nearest one million?
10000000
Let m be ((-3)/1 - 2) + 36007. Let g be 10*m/(-4) + 5. Round g to the nearest one hundred thousand.
-100000
Let m = -1.06 + 96.06. Let s = m - 94.999921. What is s rounded to 5 dps?
0.00008
Let f = 198 - 222.1. Let q = f + 0.1. Let l = 23.999985 + q. What is l rounded to 6 dps?
-0.000015
Suppose -5*a - 5*h + 371985 = 0, -223185 = -3*a - 6*h + h. Suppose n = 4*n + a. Round n to the nearest one thousand.
-25000
Let o = 36.63 + -36.63002033. Round o to six decimal places.
-0.00002
Let s = 234.86 + -233. Let i = s + -1.8521. Round i to three dps.
0.008
Let b(r) = 3*r**3 - 15*r**2 + 19*r - 12. Let y(w) = -10*w**3 + 46*w**2 - 57*w + 37. Let j(h) = -7*b(h) - 2*y(h). Let l be j(13). Round l to the nearest ten.
-240
Let n = -2.605 - -0.44. Let r = n + 2.1. What is r rounded to two dps?
-0.07
Let s = -0.011 - 51.989. Let b = -51.973 - s. Let a = b - 0.02. Round a to 3 dps.
0.007
Let v = 0.779 + -0.77905786. What is v rounded to 5 dps?
-0.00006
Let g = -109 + 111.8. What is g rounded to the nearest integer?
3
Suppose -4*h = -3012 - 600. Round h to the nearest ten.
900
Suppose 3*d + 987 = -2*p + p, -2*p = -3*d + 1983. Round p to the nearest 100.
-1000
Let j = 1886.43 + -1876. Round j to the nearest integer.
10
Let a = 160.61 + 1.39. Let z = a - 162.186. What is z rounded to one dp?
-0.2
Let k = 12.9 + -168.9. Let y = k - -155.9687. Round y to 3 decimal places.
-0.031
Suppose 2*x - 104793 = 104131. Suppose 85538 = -5*a - x. Round a to the nearest 10000.
-40000
Let t = 329927 - 225628. Suppose 3*j = -t - 48701. Round j to the nearest 10000.
-50000
Let t(q) = -7468*q**2 - 8*q - 1. Let o be t(7). Let j = -243810 - o. Suppose -8 = -4*d, -3*u + 5*d = -542169 + j. Round u to the nearest one hundred thousand.
100000
Let c = -665 + 664.98774. What is c rounded to four dps?
-0.0123
Let s = -0.945 + 0.94. Let p = s - -0.005044. What is p rounded to 5 dps?
0.00004
Let m(y) = y**3 + y**2 - 23221. Let l be m(0). Suppose -15*h - 103810 - 130505 = 0. Let f = h - l. Round f to the nearest one thousand.
8000
Let t = 1963782 + -828780. Suppose -7*x + 5*x - t = 5*f, x = 3*f + 680999. Round f to the nearest 10000.
-230000
Let b be (21 - 3)/3 + 1. Let y(v) = -2679*v - 24. Let r be y(b). Let d = r + 9877. Round d to the nearest 1000.
-9000
Let i = -0.18 + -0.22. Let h = i - 0.52. Round h to one decimal place.
-0.9
Let o = 333.9774 - 334. What is o rounded to 3 dps?
-0.023
Let c = 5.19 - 4.9. Let a = -0.4 + c. Let n = -0.110001 - a. Round n to five dps.
0
Let z = 0.8412 - 167.0812. Round z to the nearest integer.
-166
Let o(y) = -y**2 - y - 1. Let r(g) = 5005*g**2 + 6*g - 20. Let d(v) = -4*o(v) - r(v). Let l be d(-6). What is l rounded to the nearest ten thousand?
-180000
Let t = 8.23 - 8.3. Round t to zero decimal places.
0
Let u = -84.99255 + 85. What is u rounded to three decimal places?
0.007
Let l = 69 + -65. Let h be -200*(1*1192 - 8/l). What is h rounded to the nearest ten thousand?
-240000
Let f = -576 + 576.00249. What is f rounded to 4 decimal places?
0.0025
Let h = 0.04803 - 0.00741. Round h to three dps.
0.041
Let b = -62.103739 - -0.034739. Let l = b + 62. What is l rounded to 2 dps?
-0.07
Let h(i) = -3588*i - 3170*i + 94 - 5480*i. Let o be h(13). What is o rounded to the nearest ten thousand?
-160000
Let n = 532.99648 + -533. What is n rounded to four decimal places?
-0.0035
Let m = -11.2743 + 11.3. Let w = m - 0.0875. What is w rounded to 2 decimal places?
-0.06
Let a = 4281.447 - 4276. What is a rounded to 1 dp?
5.4
Let p = 0.02 + -34.02. Let b = -33.99716 - p. Round b to four decimal places.
0.0028
Let a(g) = 278405*g**2 + 24*g - 5. Let d be a(-5). What is d rounded to the nearest 100000?
7000000
Let w be 1 - -1 - 78990/15. What is w rounded to the nearest one hundred?
-5300
Let s = -72430.082 - -72345. Let k = 85 + s. Round k to 2 dps.
-0.08
Let u = -24 + 25.7. Let p = 186.7 + -185.001. Let a = u - p. What is a rounded to three decimal places?
0.001
Let d = -1.6 - -18.6. Let j = -16.88 + d. Let i = j - 0.13. What is i rounded to three decimal places?
-0.01
Let o(j) = -29*j**2 + 25*j + 24. Suppose 0 = -16*y + 389 - 85. Let z be o(y). What is z rounded to the nearest one thousand?
-10000
Let b = 79.67 + -147.44. Round b to the nearest 10.
-70
Let x = 56411 - 39561. What is x rounded to the nearest one thousand?
17000
Let f be 2/1 + -6 + 19*-56. What is f rounded to the nearest one hundred?
-1100
Let t = -20.431 - 7.424. Let k = 28 + t. Let d = k - 0.17. What is d rounded to two decimal places?
-0.03
Let n = -6.702 + 6.701996439. What is n rounded to seven decimal places?
-0.0000036
Let u = -179 + 121. Let l = u - -186. Let t = l - 128.051. Round t to 2 dps.
-0.05
Let x = -1.6546 - 0.0734. Round x to 1 dp.
-1.7
Let p = -0.057 - 44.943. Let z = p + 45.23. Round z to one dp.
0.2
Let p = 175.900753 + -175.9. Round p to four decimal places.
0.0008
Let p = -0.75462 - -0.745. What is p rounded to 4 dps?
-0.0096
Suppose 0 = 4*g + 3*t + 218302, 2*g - 2*t + 109160 = t. Let c
|
{
"pile_set_name": "DM Mathematics"
}
|
09, -2/15, 1/3, 1/2
Sort 2/13, -2, 14634 in ascending order.
-2, 2/13, 14634
Put -2/7, 0.1, 0, 260, 2 in increasing order.
-2/7, 0, 0.1, 2, 260
Sort -23, 1, 0, 15, -10.
-23, -10, 0, 1, 15
Put -41, -5, 1, 0, -2, 28 in ascending order.
-41, -5, -2, 0, 1, 28
Sort -1, 5, -17, -3, -2, -31 in decreasing order.
5, -1, -2, -3, -17, -31
Sort 0, -2, 42, 2, 66.
-2, 0, 2, 42, 66
Put -1, 1, 4215, -4 in increasing order.
-4, -1, 1, 4215
Sort 0, 3, -3, 399, 5, -2 in descending order.
399, 5, 3, 0, -2, -3
Put 0.2, -24/5, -1/7, -0.4, 5, 0.4 in descending order.
5, 0.4, 0.2, -1/7, -0.4, -24/5
Sort -1, 0.2, -443980.
-443980, -1, 0.2
Sort 4, -58, 2/7, -3/4, 4.6, -2 in descending order.
4.6, 4, 2/7, -3/4, -2, -58
Put -188, -2, -1, -23, 2 in increasing order.
-188, -23, -2, -1, 2
Put -7.6, 1.7, 0.4 in descending order.
1.7, 0.4, -7.6
Sort 24, 1.83, -2/7, 1, 0 in descending order.
24, 1.83, 1, 0, -2/7
Put 9, 26, 6, -10, 1 in increasing order.
-10, 1, 6, 9, 26
Sort 6.8, -2.6, 43 in decreasing order.
43, 6.8, -2.6
Sort -4, 14, 17, 5, -2234 in decreasing order.
17, 14, 5, -4, -2234
Put -32, 8, 5, 2, -8 in descending order.
8, 5, 2, -8, -32
Put -19, -5, -2, -355, -4 in ascending order.
-355, -19, -5, -4, -2
Put -5, 437, 341 in decreasing order.
437, 341, -5
Sort 3, 20, 11, 0, -75, 5.
-75, 0, 3, 5, 11, 20
Put -1/5, 9, 0.5, -0.1, -2/7, 0.19 in decreasing order.
9, 0.5, 0.19, -0.1, -1/5, -2/7
Put 5, -5, 2/13, -0.49, 18 in decreasing order.
18, 5, 2/13, -0.49, -5
Sort -0.2, -1/92, 17 in decreasing order.
17, -1/92, -0.2
Put 18, 4, -3, 2, -286 in decreasing order.
18, 4, 2, -3, -286
Sort 5, 0, 1, 57, 54, -2 in descending order.
57, 54, 5, 1, 0, -2
Put 56, -181, 5 in decreasing order.
56, 5, -181
Sort -4, 2, -6, 129, 4, -2 in decreasing order.
129, 4, 2, -2, -4, -6
Sort -3, 0.5, 19/79 in descending order.
0.5, 19/79, -3
Sort -3/2, 0.2, -14, -11/6, -2.9 in ascending order.
-14, -2.9, -11/6, -3/2, 0.2
Sort 0.89, -1/9, 0.2, 3/4 in decreasing order.
0.89, 3/4, 0.2, -1/9
Sort 627, 4, 0.08, 0.1 in ascending order.
0.08, 0.1, 4, 627
Put -3, 2/11, -0.5, -27, -1 in descending order.
2/11, -0.5, -1, -3, -27
Sort 10, 2, -2, -16, -4/9 in decreasing order.
10, 2, -4/9, -2, -16
Sort -2/23, -9, -5, 3, -6.
-9, -6, -5, -2/23, 3
Sort 0.8, -8, 2/7, -33, 0.3.
-33, -8, 2/7, 0.3, 0.8
Sort 2/7, 3.57, 0, -0.2, -0.35, 3/4.
-0.35, -0.2, 0, 2/7, 3/4, 3.57
Put -2, 1.1, -58, 0.1, 0, -5 in ascending order.
-58, -5, -2, 0, 0.1, 1.1
Sort 16, -15, 4, -4, 1 in descending order.
16, 4, 1, -4, -15
Sort -58, 5, 0, 2, -620 in decreasing order.
5, 2, 0, -58, -620
Put 29, -5, -7, -42, 4 in increasing order.
-42, -7, -5, 4, 29
Sort 116, 8, 17, 4, 1 in decreasing order.
116, 17, 8, 4, 1
Put 1, -1, 5, -1/4, -7, 1/3 in decreasing order.
5, 1, 1/3, -1/4, -1, -7
Put 0.2, 1, -0.07, 11, 0.3 in decreasing order.
11, 1, 0.3, 0.2, -0.07
Put -3, 1, -216889 in descending order.
1, -3, -216889
Sort -192, 4398, -4 in decreasing order.
4398, -4, -192
Sort 3/2, 743, -2, 0.2, -8/3 in descending order.
743, 3/2, 0.2, -2, -8/3
Sort 4, 6, -2, -17, 2.
-17, -2, 2, 4, 6
Sort 7, 311, -13 in descending order.
311, 7, -13
Put -12, 1, 3, 188, 12 in ascending order.
-12, 1, 3, 12, 188
Put 110, 2, 6, 5 in increasing order.
2, 5, 6, 110
Sort 5, 2/9, -87573 in descending order.
5, 2/9, -87573
Sort 291, 1, 0, -2.
-2, 0, 1, 291
Sort -2/19955, 2/29, 5 in ascending order.
-2/19955, 2/29, 5
Sort 0.3, -0.3, -123, -1.
-123, -1, -0.3, 0.3
Sort -2, -5, -3683, 0, -35.
-3683, -35, -5, -2, 0
Sort 322, -5, 5, -9, -35 in descending order.
322, 5, -5, -9, -35
Put -8, -1, 0, 1, -413 in decreasing order.
1, 0, -1, -8, -413
Sort -0.4, 11, 0.1, 92, 3/2, 13/2 in descending order.
92, 11, 13/2, 3/2, 0.1, -0.4
Put 0, -5, -0.09, -0.9, 204 in decreasing order.
204, 0, -0.09, -0.9, -5
Sort 496, 2013, -2, -3 in ascending order.
-3, -2, 496, 2013
Sort 191, -4, 107 in increasing order.
-4, 107, 191
Put 3, 5, -2, 1, 4, 57 in decreasing order.
57, 5, 4, 3, 1, -2
Put -4, 10, 2654, 5 in increasing order.
-4, 5, 10, 2654
Put 9, -2, 1, -5, -19 in decreasing order.
9, 1, -2, -5, -19
Put -7, -371, 2 in decreasing order.
2, -7, -371
Put -5, 15, -12784 in ascending order.
-12784, -5, 15
Sort 0.5, -1, -0.1, 1, -1068 in increasing order.
-1068, -1, -0.1, 0.5, 1
Sort 7, 0.0089, 19 in descending order.
19, 7, 0.0089
Sort 0, -4, 163, -9 in ascending order.
-9, -4, 0, 163
Put 64, -10, 4, -4 in decreasing order.
64, 4, -4, -10
Put 2, -2, -5, -942, -1 in descending order.
2, -1, -2, -5, -942
Sort -241, 1, -1615.
-1615, -241, 1
Put 3, -4, 482, 0 in decreasing order.
482, 3, 0, -4
Sort 5, -5, 4, 0, 8, -7 in ascending order.
-7, -5, 0, 4, 5, 8
Sort -432, 4, -2 in decreasing order.
4, -2, -432
Put -64, -4, 3, -2, 1, 5 in increasing order.
-64, -4, -2, 1, 3, 5
Put -29, 0.2, -2/59, 2/5, 0.36 in decreasing order.
2/5, 0.36, 0.2, -2/59, -29
Put 5, 4, -542747 in decreasing order.
5, 4, -542747
Sort -3, 2, 98, -2 in descending order.
98, 2, -2, -3
Sort -1, 5, 3892, 1, -4 in decreasing order.
3892, 5, 1, -1, -4
Sort 36, 5, -451 in ascending order.
-451, 5, 36
Put -3/13, -3/5, -1/6, 2, 0.98 in decreasing order.
2, 0.98, -1/6, -3/13, -3/5
Sort -5, 14, 3, 98, 0 in increasing order.
-5, 0, 3, 14, 98
Sort -2, -25, 2, -4, -238 in increasing order.
-238, -25, -4, -2, 2
Put 3, 20, -63, -1 in descending order.
20, 3, -1, -63
Sort 0, 5/4, 1/2, 5.4, 4, -0.0174.
-0.0174, 0, 1/2, 5/4, 4, 5.4
Sort -158203, 1, -1.
-158203, -1, 1
Sort -4/39, -0.15, 0.4, -2/9, -2 in ascending order.
-2, -2/9, -0.15, -4/39, 0.4
Put 5/4, 1/3, 156, -1/2, -1/7, -1 in descending order.
156, 5/4, 1/3, -1/7, -1/2, -1
Put -4, 65, 430, -3 in descending order.
430, 65, -3, -4
Put 7, 5, -4, 1, 3 in decreasing order.
7, 5, 3, 1, -4
Put 20, 4, 6, 1, 3 in descending order.
20, 6, 4, 3, 1
Sort -145, -2, 1, -3 in increasing order.
-145, -3, -2, 1
Sort -6, -78, -7.
-78, -7, -6
Sort 162, 5/2, 0, 0.1, 4/7 in descending order.
162, 5/2, 4/7, 0.1, 0
Put 2850, -5, 1 in decreasing order.
2850, 1, -5
Put 3, 1, -5, -29, 81, -4 in increasing order.
-29, -5, -4, 1, 3, 81
Put -16, 0, -102, 5, 3, -5 in descending order.
5, 3, 0, -5, -16, -102
Put 14, -212, 10 in ascending order.
-212, 10, 14
Put 43, -6, -957 in ascending order.
-957, -6, 43
Sort 3, 2/21201, -2/5.
-2/5, 2/21201, 3
Put 26.1, -3, -0.1, -2.5 in descending order.
26.1, -0.1, -2.5, -3
Sort 3, -4, 5, 28, 25 in descending order.
28, 25, 5, 3, -4
Sort -2, -13, 149, 2, 6, 3 in ascending order.
-13, -2, 2, 3, 6, 149
Put -2, -19594, -5, 5 in descending order.
5, -2, -5, -19594
Put 7, 197, -0.6, -4 in ascending order.
-4, -0.6, 7, 197
Put -0.2, 1282011, -3 in descending order.
1282011, -0.2, -3
Sort -31, 14/5, 1.1.
-31, 1.1, 14/5
Put -5, -1, -65, 0, 4, -49 in decreasing order.
4, 0, -1, -5, -49, -65
Sort -2, -6, 50, 1, 3, -25.
-25, -6, -2, 1, 3, 50
Sort 5, -266, 30, -3, -4 in ascending order.
-266, -4, -3, 5, 30
Put 3/5, 13, 17/11 in descending order.
13, 17/11, 3/5
Put 2/19, 1/5, -1, 6/4963, 1 in decreasing order.
1, 1/5, 2/19, 6/4963, -1
Put -1, 28, 3, -978 in increasing order.
-978, -1, 3, 28
Put -2, -4, 0.1, 14966, 1/4, 0.2 in increasing order.
-4, -2, 0.1, 0.2, 1/4, 14966
Put 11, -1, -69 in ascending order.
-69, -1, 11
Sort -757, -164, -3, 4 in descending order.
4, -3, -164, -757
Sort -9, 57, -2, 1.
-9, -2, 1, 57
Sort 0.05, -0.19, -43, 4, 0.5, -1/4 in increasing order.
-43, -1/4, -0.19, 0.05, 0.5, 4
Sort -1/7, -1.1, 1/7, -1914, 0.05 in decreasing order.
1/7, 0.05, -1/7, -1.1, -1914
Put -0.02, -0.22, 1042 in increasing order.
-0.22, -0.02, 1042
Put 5, -1/9, 58/1317, 2 in decreasing order.
5, 2, 58/1317, -1/9
Sort -708, 3, -1/139.
-708, -1/139, 3
Put -38, 1, 6, 3, 354 in decreasing order.
354, 6, 3, 1, -38
Sort -1/3, -156, 5/4, -1, -6/11 in descending order.
5/4, -1/3, -6/11, -1, -156
Sort -2, 253, 2, 4, 1, 13 in decreasing order.
253, 13, 4, 2, 1, -2
Sort 32, 0.1, -1/7, -2/7, -0.1 in descending order.
32, 0.1, -0.1, -1/7, -2/7
Put 0.2, 163, 2, -0.4, -0.5 in increasing order.
-0.5, -0.4, 0.2, 2, 163
Put 6/11, 2/3, 0.1, 1, 2.09 in increasing order.
0.1, 6/11, 2/3, 1, 2.09
Sort 0.04, 1, -2, 36/17 in ascending order.
-2, 0.04, 1, 36/17
Sort -0.027, 51, 129 in descending order.
129, 51, -0.027
Put 3, 2.962, -0.5, 4, 1/3 in decreasing order.
4, 3, 2.962, 1/3, -0.5
Sort 1, -22, -18, 84, -5 in increasing orde
|
{
"pile_set_name": "DM Mathematics"
}
|
v + 3*x, 2*v - 38 = -4*x. Suppose -5*d - 2*l + v = 0, -5*d + d - 5*l + 10 = 0. Does 4 divide d?
False
Let g be (-27)/9*10/(-6). Suppose 3*t = -3*w + 111, -g*w - 47 = -4*t + 101. Is t a multiple of 16?
False
Let f = -17 - -17. Let g(y) = y**3 + y + 51. Let a be g(f). Suppose -3*t - 3*u + 153 = 0, 0 = -t - 0*u - 2*u + a. Is t a multiple of 17?
True
Suppose -4*z - 9 = -5*z. Let p be 412/(-6) + (-3)/z. Let v = p + 105. Is v a multiple of 12?
True
Let l = -229 + 271. Let a(g) = 14*g. Let p be a(2). Let x = l - p. Is 7 a factor of x?
True
Suppose -3 = -7*k + 4. Is 3 a factor of (k + (-141)/9)/((-14)/21)?
False
Suppose 18*b - 282 = 1212. Does 81 divide b?
False
Let v(z) = 11*z + 82. Does 8 divide v(3)?
False
Let z = -18 - -22. Let m be 4/(-1)*(z - 5). Suppose 69 = m*f + 5*i, -3*i = 2*f + i - 42. Does 9 divide f?
False
Let o = -7 - -11. Suppose -1 + o = s, -q = 4*s - 16. Suppose q*z - 5*n = 50, -3*n + 9 = z - 12. Does 4 divide z?
False
Let f(d) = 9*d**2 - 60*d + 840. Is 27 a factor of f(11)?
True
Let l be ((-46)/(-4) - -4)*2. Is 17 a factor of (l/(-4) - 2)/(3/(-12))?
False
Let k = -1550 - -2730. Is 20 a factor of k?
True
Let i be 4 - -1331*1 - 1/(-1). Does 19 divide i/14 + (-30)/70?
True
Suppose 0 = 4*x - 4*l - 14912, 3*x + 4*l = x + 7432. Is 28 a factor of x?
True
Let c be 130/(-4)*(-28)/(-35). Suppose -3*p + 0*p = 330. Let i = c - p. Is i a multiple of 36?
False
Let u = -1256 - -1769. Is 3 a factor of u?
True
Suppose 5*y = 2*g + 330, -2*y = 6*g - 5*g - 123. Is 12 a factor of y?
False
Let r = -5 + 7. Let f be ((-14)/(-21))/(r/(-9)). Is (-24)/f + 1*-2 a multiple of 2?
True
Let s(y) = -7*y + 4. Let j(m) = -21*m + 13. Let i(a) = -2*j(a) + 7*s(a). Let k be 4 + 0 + -6 + 6 - 8. Does 9 divide i(k)?
False
Let c(h) = 22*h - 19. Let u(t) = -t**3 + 18*t**2 + 18*t + 24. Let o be u(19). Is 18 a factor of c(o)?
False
Suppose -31 = -8*b + 9. Suppose b*w = 4*t + 17, -5*w + 22 = -w + t. Is 2 a factor of w?
False
Let g(s) = 20*s**2 + s - 1. Let v = 25 - 24. Does 2 divide g(v)?
True
Let y(s) = 2*s**2 - 11*s - 10. Suppose 0 = 7*g - 9*g + 20. Is y(g) a multiple of 20?
True
Suppose 13 = a + 2*o, -2*o + o + 5 = 0. Let p(q) = q + 6. Let g be p(-3). Suppose g*z - 13 = -5*d, -d = -a*z + 27 + 10. Does 3 divide z?
False
Let a(f) = 8*f + 2*f**2 + 6 + 3 + f**2. Let v be a(-6). Suppose v - 17 = 4*q. Is 13 a factor of q?
True
Let d(q) = 83*q + 12. Let a be d(8). Suppose -6*c + a = -44. Suppose 0*k + c = 4*k. Is 15 a factor of k?
True
Suppose 114 + 62 = 2*m. Does 15 divide m?
False
Let p be (-4)/(-10)*1028 + (-4)/20. Suppose -5*s + 84 = -p. Is 13 a factor of s?
False
Let o = 88 - -32. Does 15 divide o?
True
Let b(d) = 9*d**2 + 24*d - 33. Let t(f) = -5*f**2 - 12*f + 17. Let s(o) = -4*b(o) - 7*t(o). Is 24 a factor of s(-11)?
True
Let c be (-9)/6*2 + 21. Suppose -4*i = 5*f - c, -2*i = -3*f - 5*i + 12. Suppose f*r - 10 = 2*y + 14, 0 = -5*r + 3*y + 64. Is r a multiple of 7?
True
Let x = -401 + 503. Is x a multiple of 5?
False
Let r(b) be the third derivative of b**5/20 - b**4/6 - b**3/6 + 4*b**2. Let i be r(4). Suppose -3*w = 2*x + 26 - 79, -x + i = -3*w. Is x a multiple of 11?
False
Suppose -43 - 17 = -f + 2*g, 2*f + 5*g - 129 = 0. Let c(u) = -u + 1. Let p be c(-2). Suppose p*v - f = -17. Does 15 divide v?
True
Suppose 90 = -12*u + 17*u. Let g(i) = i**2 + i - 2. Let b be g(4). Let o = b + u. Does 15 divide o?
False
Let p(x) = x**3 + 3*x**2 + 3*x + 1. Let m be p(-2). Let v be 14/(-7) + m + 16. Is 142/8 - v/(-52) a multiple of 18?
True
Suppose 0 = -u + 4*u. Suppose c + u*c - 2 = 2*k, 4*c - k - 15 = 0. Suppose -m + 10 = j - 34, -j + 56 = c*m. Does 20 divide j?
True
Let z(d) = -d**3 - d**2 + 2*d + 208. Is z(0) a multiple of 8?
True
Let o(w) = w**3 + 11*w**2 - 6*w - 42. Is o(-8) a multiple of 6?
True
Does 9 divide 3707/44 + 6 + 5/(-4)?
False
Let p(t) = 810*t**2 + 5*t - 7. Is 49 a factor of p(-1)?
False
Let r be 3 + -2 - (-3 - -5). Let y(w) = 6*w - 9. Let l be y(8). Is r/(1 + l/(-36)) a multiple of 8?
False
Suppose 0 = -4*u - u + 8460. Does 50 divide u?
False
Let t = 14 - 2. Let w = 97 - t. Is 12 a factor of w?
False
Let k(j) be the second derivative of 2*j + 0 + 0*j**3 + 1/12*j**4 + 5/2*j**2. Is 9 a factor of k(-3)?
False
Suppose -2*g - 3*x + 3 + 2 = 0, -25 = -3*g - x. Let w = 51 + g. Does 8 divide w?
False
Does 33 divide 742 + (-1 - -1) + 5 + -1?
False
Let s(w) = w - 75. Let i(t) = -t. Let u(l) = i(l) - s(l). Is u(-23) a multiple of 31?
False
Suppose 30 = -4*m - 3*w - 26, m + 3*w = -23. Let d = 14 + m. Suppose 0 = 4*y - d*y + 5, -u + 17 = 3*y. Is 16 a factor of u?
True
Suppose 45 = 4*l - 35. Suppose 3*g = l - 2. Suppose -g*z + 55 = -z. Does 4 divide z?
False
Let v be -4 - (1*-16 + 1). Suppose -12 = 7*t - v*t. Is 3 a factor of t?
True
Let s = 131 + -119. Is 12 a factor of s?
True
Suppose -949*m = -936*m - 13416. Is 25 a factor of m?
False
Suppose -22 = -2*o + 6. Let l be (o/(-3))/(2/(-63)). Suppose -12*q - l = -15*q. Is q a multiple of 6?
False
Let d = 16 + -20. Let o be (-9)/(d/(-8) + 1). Is ((-4)/o)/(4/72) a multiple of 3?
True
Suppose -2*j + 2*k + 1626 = 0, j + 272 = -3*k + 1073. Is 45 a factor of j?
True
Does 2 divide 142/14 + 1/(-7)?
True
Suppose -4*l - 105 = -2*i + 823, l = -3*i + 1413. Is 9 a factor of i?
False
Let q = 1542 + -952. Does 7 divide q?
False
Let j = 48 - 56. Is 6 a factor of ((-6)/j)/((-4)/(-16)) + 9?
True
Let n be (-48)/(-32)*(-46 + 1 + -1). Let x = -57 - n. Is 6 a factor of x?
True
Suppose 0 = 3*n + 1967 - 6686. Does 11 divide n?
True
Let y(f) = -74*f - 285. Is 4 a factor of y(-6)?
False
Let n = -21 - -25. Suppose 16 = n*v - 3*v. Suppose -6*q + 110 = -v. Is 3 a factor of q?
True
Let g(a) = -9*a**3 - a**2 + 19*a + 15. Is 17 a factor of g(-5)?
True
Let m(h) = -5*h**2 - 2*h. Let x be m(-3). Suppose 0 = 5*b + 2*y + 88, -7*b + 2*b + 4*y - 64 = 0. Is b/3*x/26 a multiple of 5?
False
Let w(r) = -r**2 - 15*r - 11. Let h be w(-12). Let k = h + -17. Does 4 divide 81/k - 6/48?
False
Let t be 6/27 + (-102)/(-27). Suppose 0 = -t*a - 2*c + 248 - 40, -4*a + 2*c + 200 = 0. Suppose -3*x - 5*q + a = 0, q - 3*q = -2*x + 50. Is x a multiple of 13?
False
Suppose -q - 12 = -100. Is q a multiple of 8?
True
Let o(m) = 14*m - 1 + 0 + 2. Is 17 a factor of o(6)?
True
Is 7 a factor of 279 - (10/1 - 12)?
False
Suppose -3*h = -4*i + 47, -2*i + 11 = h + 2*i. Let k(b) = -12 + 7*b + b**3 + 5*b**2 - 4*b**2 + 4*b**2 + 5*b**2. Is k(h) a multiple of 3?
True
Let q = -22 - -12. Does 17 divide (504/q)/(-1) + 12/20?
True
Let v(j) = -4*j - 2. Is 17 a factor of v(-38)?
False
Let s(g) = -62*g + 1. Let h(y) = -124*y + 1. Let t(k) = -2*h(k) + 5*s(k). Let l(q) = 186*q - 10. Let r(x) = 5*l(x) + 16*t(x). Does 18 divide r(-1)?
False
Let c(m) = 28*m - 6. Let i be c(-3). Let h = i - -168. Does 13 divide h?
True
Let t = 14 + -10. Is t/(-16) - 1011/(-12) a multiple of 21?
True
Let n(y) = 36*y**2 - 5*y - 6. Let s(r) = -36*r**2 + 6*r + 6. Let x(j) = 4*n(j) + 3*s(j). Does 27 divide x(-3)?
True
Let j(d) = 35*d - 22. Does 22 divide j(22)?
True
Let n(g) be the third derivative of g**6/120 - g**5/10 - g**4/24 - 5*g**3/2 + g**2. Does 3 divide n(7)?
True
Let a be 4/(-12) + (-74)/(-6). Suppose 11*q = a*q - 23. Does 9 divide q?
False
Suppose -4*o + 8*o + 12 = 0. Does 54 divide 24*4 + o/(-3) + -1?
False
Let n = 36 - 28. Suppose n*w - 32 = -0*w. Does 11 divide 0/(-2 + w) + 69?
False
Does 13 divide (-11490)/(-17) - (-84)/714?
True
Let x(k) = -13*k + 76. Let i(z) = -2. Let j(g) = -6*i(g) - x(g). Does 6 divide j(11)?
False
Let j = 489 - 190. Suppose n - 59 = -g, -5*g - 5*n + j = -4*n. Is 15 a factor of (6/(-4))/((-3)/g)?
True
Suppose -4*j = -6*j - 2. Is 13 a factor of (260/8)/(j/(-2))?
True
Let h = -66 - -66. Suppose h*x - 234 = -6*x. Is x a multiple of 13?
True
Suppose -l + 4*l = -2*n + 666, 0 = 3*n - 9. Is 18 a factor of l?
False
Let v = -38 + 77. Suppose 5*q = -9 + v. Let k = q - -2. Does 8 divide k?
True
Let i(h) = -32*h**3 - 4*h**2 - h - 12. Does 19 divide i(-4)?
True
Let y = -7 + 9. Suppose 4*z - 3*k + 1 = 2, 0 = y*z + k - 3. Is (3/2)/(z/6) a multiple of 3?
True
Suppose -3*f + 12 = 0, 2*l = -7*f + 4*f + 1156. Is 44 a factor of l?
True
Let i = 66 + -54. Suppose -i*f = -54 - 78. Is f a multiple of 6?
False
Let d(g) = 150*g**2 - 6*g - 25. Is 79 a factor of d(-3)?
True
Let g be -2 + (5/(-20))/((-3)/48). Suppose g*c - 5 = 65. Does 3
|
{
"pile_set_name": "DM Mathematics"
}
|
-4/7
b
Let j = -9.98 - 0.02. Let n = -8/3 - -25/6. What is the third smallest value in n, -3, j?
n
Let f be 1 + 392/10 - 1. Let w = 39 - f. Let m be 1 + (-48)/14 + 2. Which is the smallest value? (a) m (b) w (c) 2
a
Let x = 30 - 30.5. What is the biggest value in -0.3, x, 5?
5
Let d = 25.5 + -17.4. Let k = d - 8. Let u(s) = s - 5. Let h be u(6). Which is the second biggest value? (a) 0 (b) k (c) h
b
Let s = 10/21 + -64/105. Let h = 0 + -1. Which is the third biggest value? (a) 1/2 (b) s (c) h
c
Let d = 79.5 - 79. Which is the third smallest value? (a) 3/4 (b) d (c) -0.1
a
Let m = -8.3 - -4.3. What is the third biggest value in 5, m, -0.5, 3?
-0.5
Let v = -319 - -2555/8. What is the biggest value in -3, 1/8, -5, v?
v
Let r = -12.5 + 13.5. What is the third biggest value in -2, r, 3?
-2
Let w = 0.6 - 1.6. Let s = -0.2 - -0.4. Let i = s + -0.2. Which is the third smallest value? (a) i (b) 5 (c) w
b
Let h = -7 - -7.4. Which is the biggest value? (a) 3 (b) h (c) 1
a
Let s(d) = 2*d + 17. Let p be s(-10). What is the fourth biggest value in -2/9, -4, -0.06, p?
-4
Let a = -133 - -132.9. What is the second biggest value in a, 5, -12, -5?
a
Suppose 2*j = s, -s - 8 = -0*s + 2*j. Let m be 5/45*(s - -1). What is the second smallest value in -1, 5, m?
m
Let f be (-95)/(-25) + 0 + -4. Let s = 27.78 - 28. Let p = -0.08 + s. What is the third smallest value in 4, p, f?
4
Let x(z) = z - 2. Let q be x(2). Let g = 0.22 + -0.02. What is the smallest value in 1, q, g?
q
Let o = -76 + 77. What is the third smallest value in o, -0.01, -1?
o
Suppose 2*t - 7 = k - 3, -5*t - 2*k = -10. Which is the fourth biggest value? (a) -1/2 (b) -0.1 (c) -1 (d) t
c
Let r = 1.2 + -1.1. Let c = 5.45 - 0.05. Let k = 5 - c. What is the third smallest value in 0, r, k?
r
Suppose 2 = -5*q - 5*y - 8, 2*y + 13 = -5*q. Which is the smallest value? (a) 0.5 (b) q (c) -1/2
b
Let h be (-17)/(-5) - 1 - 3. Which is the second smallest value? (a) -13 (b) h (c) 2/9
b
Suppose 35*p + 3 = 32*p. Which is the biggest value? (a) 17 (b) p (c) 1
a
Let j = 10.07 + -0.07. Let d = -7 + j. Let g = 143/3 - 47. Which is the third biggest value? (a) d (b) -3 (c) g
b
Let t = 71.08 - 68. Let v = -0.08 + t. Let b = -23 + 21. What is the biggest value in b, 3/2, v?
v
Let c = -1.4 - -0.5. Let g = -2.1 + c. What is the smallest value in 1/2, g, -5?
-5
Let p = -53/5 - -57/5. Let k(d) = -d**3 - 7*d**2 - 6*d + 1. Let l be k(-6). What is the second smallest value in l, 0.3, p?
p
Let q = 4 + -3. Let r = -0.4 - -0.52. Let n = -4.88 - r. Which is the biggest value? (a) -0.5 (b) q (c) n
b
Let k = -0.063 + -0.937. Let u = -2 + 6. What is the second biggest value in 11, u, k?
u
Let x = -117 - -119. Which is the second biggest value? (a) -0.17 (b) 5 (c) -1 (d) x
d
Let z = 5/11 - 13/77. What is the second biggest value in 2, -2/7, z, -1?
z
Let d be (2 + 0)/(-11 + 15). Which is the second biggest value? (a) 4 (b) -2 (c) d
c
Let v = -68 + 71. What is the smallest value in 1, v, 0.04?
0.04
Suppose -2*k - 6 = -0*k. What is the biggest value in -2/23, -2/9, 0.2, k?
0.2
Let q = 11 + -7. Let w = 10 - 11. Let d be 10/660 + w/(-6). Which is the smallest value? (a) d (b) 1/7 (c) q
b
Let l = 1 - 0. Let r = 7 - 11. What is the third smallest value in r, -3/2, l?
l
Let o(y) = y**3 - 6*y**2 - 8*y. Let j be o(7). Let d = j - -5. Which is the smallest value? (a) 5 (b) d (c) -1
b
Let d(v) = -v**2 - 4*v - 2. Let w be d(-3). Let u = 5 - 2. Let k = u - 2.6. What is the biggest value in k, -3, w?
w
Let s be 6/8*16/30. Let p = -157/5 + 31. What is the third smallest value in s, p, 0.2?
s
Let t = -0.58 + -0.12. Let m = -1 - t. Which is the third smallest value? (a) 0.5 (b) 5 (c) m
b
Let h = -44 - -39. What is the biggest value in 2/11, h, 0.1?
2/11
Let d = 3.34 + -0.34. What is the third smallest value in 9, -3/5, d?
9
Let z be 2/9 + 13/(-18). Let u = 23 + -40. Let q = u + 22. Which is the third biggest value? (a) q (b) 0.5 (c) z
c
Let t be 68/(-180) + 4/(-18). Which is the second smallest value? (a) -0.1 (b) t (c) -0.5
c
Let o = -0.6 + 5.6. Let s = -4 + o. Let c = 2.05 + -0.05. What is the third smallest value in 0, c, s?
c
Let f = 4/3 - 1. Let j be -4 - (1/(-2) - 0). Let o = 3 + j. Which is the second smallest value? (a) o (b) 3 (c) f
c
Let q be (-3)/117*-6 - (-35)/(-143). What is the third biggest value in q, 1/2, -1/7?
-1/7
Let s = -0.2 - -0.4. What is the second smallest value in -4/5, s, 0.3?
s
Let u = -0.45 + 0.5. Let f = 1.95 + u. Let v be (-4)/48 - (-1)/(-6). What is the third biggest value in v, 1, f?
v
Let b = 28 - -24. Let j be (-18)/b - 1/(-2). Let u = 27 - 161/6. What is the third smallest value in u, j, 3?
3
Suppose -v - 7*o - 7 = -9*o, 3*v - 2*o + 5 = 0. Which is the third smallest value? (a) 2/19 (b) v (c) 12 (d) 0
b
Let n be 0/1 + (-1 - -3). Let z = -0.04 - 0.46. What is the smallest value in n, z, -2?
-2
Let m = 4.976 + 0.024. Let k = -5 + 3. Let s be 4 - (-1 + 2 + -1). Which is the biggest value? (a) k (b) s (c) m
c
Suppose -4*n + 2*n + 6 = 0. Let c be (2 - -1)/n + 3. Suppose c = -4*d - 0. What is the second biggest value in -0.3, -2/3, d?
-2/3
Let g = 4.04 + -0.04. Let w = 2 - g. Which is the biggest value? (a) -4 (b) w (c) 2
c
Let u = 36.7 - 37. Which is the biggest value? (a) u (b) -1 (c) 0.3 (d) -0.5
c
Let q = 0.58 - -0.42. What is the third smallest value in 4, q, -5, -0.1?
q
Let t = -31 + 31. Which is the second biggest value? (a) t (b) -0.4 (c) 3
a
Let a be 10/(-35) - 37/(-7). Suppose -5*v = -t - 14, a*t + 5*v - 42 = 2*v. Suppose i = t*i - 5. What is the biggest value in 0.3, 2, i?
2
Let j = 1.7 + -6.7. Let y = 305 + -3349/11. Let u = -52/55 + y. What is the third biggest value in 3, j, u?
j
Let z be 4/(-6)*((-48)/(-424))/2. Suppose 0 = -2*x + 3 + 3. What is the biggest value in -2/17, z, x?
x
Let s be 0 - -1 - (-2 + 75/27). What is the biggest value in s, 6, 1?
6
Let w be (4/3)/(10/(-15)). Which is the third smallest value? (a) 1 (b) w (c) 5
c
Let y(d) = -d**2 + 13*d + 15. Let b be y(14). What is the third biggest value in 0, 4, b?
0
Let y = 6 + -6. What is the second biggest value in -1, 0.5, y?
y
Let o be (16/104)/(1 - 2). What is the smallest value in 2, -1/3, o?
-1/3
Let i = 3 - 2.95. Let h = 0.55 - i. Which is the second smallest value? (a) 4/3 (b) h (c) 1
c
Let n = 0.0055 + 3.0045. Let m = 0.01 - n. What is the second smallest value in m, 3/8, 0.1?
0.1
Let d be ((-3)/(-2))/(6/12). Suppose 9 = -3*f + 6*f. Suppose -f*c + 10 = 2*u, 2*u = d*c - u. What is the third smallest value in 5, -4, c?
5
Let u = -1.3 + 1.4. What is the biggest value in -6/7, u, -0.2?
u
Let r = 577/1330 + -1/190. Which is the second smallest value? (a) 4 (b) 2/21 (c) r
c
Let p = -2/129 - 41/129. What is the smallest value in 2/5, -7, -2, p?
-7
Let y = -953/764 - 1/382. What is the second smallest value in y, 3/4, 3?
3/4
Let p = 19 + -17.7. Let o = p - 1. Let a = -0.7 - o. What is the biggest value in 1/2, 4, a?
4
Let k = 10 + -6. Let l = k - 9. Which is the third biggest value? (a) -1 (b) -2 (c) l
c
Let v be 1/(4 + 33/(-9)). Suppose 0 = -0*w + v*w - 12. Which is the third smallest value? (a) w (b) -9 (c) -5
a
Let l = -1 - -0.6. Let a be ((-121)/(-176))/(3/12) - 3. What is the biggest value in 0.2, a, l?
0.2
Let a = -0.8 + 1. Let o = 0.2 + a. Let z = -13 + 18. What is the third biggest value in o, z, 0?
0
Let m be -6 + (24/3)/4. Which is the third biggest value? (a) 0.3 (b) 1/3 (c) m
c
Let l = 0.3 + -0.6. Let h be (24/27)/(-4)*3. Which is the smallest value? (a) h (b) 0.4 (c) l
a
Let m be (-18)/45 - 0/(-1). What is the second smallest value in m, -0.5, 5?
m
Let y = 11 + -8. Let l = -4 - -3. Let h be (0 - -1)*l*5. Which is the second biggest value? (a) h (b) -1/3 (c) y
b
Let u = 6 + -5.6. Let x = 24 + -15. Let n be -2 + 2*x/12. What is the second smallest value in n, u, 0.1?
0.1
Let i = 6.97 - 7. Let x = i - 0.17. Let s = 0.03 + -0.33. Which is the third biggest value? (a) s (b) x (c) 5
a
Let r be (-6)/14 + 325/595. Which is the smallest value? (a) -4 (b) r (c) -1 (d) 0.1
a
Suppose 2 = 3*d + 200. Let g = 592/9 + d. What is the second smallest value in -0.5, 5, g?
g
Let r = -22.8 - -23. Which is the third smallest value? (a) -1/4 (b) -1/3
|
{
"pile_set_name": "DM Mathematics"
}
|
(o*(o*o/o**(1/4))/o)/o*o*o)/(o**(2/11))**(-2/91))**40)**41 assuming o is positive.
o**(23002640/3003)
Simplify p*p*p*p**(-26/3)*p*p*p/p**(7/3)*p*p**(-3/2)*p*p**(-46) assuming p is positive.
p**(-101/2)
Simplify (b/(b/(b/(b/b**(-2/9)*b)*b)))/((b**30/b)/b)*(b*b*b**(-20))**8 assuming b is positive.
b**(-1550/9)
Simplify (m**(-7)*m*m/(m**(-14)/m)*(m/(m**(-27)*m)*m)**(-1/8))**19 assuming m is positive.
m**(247/2)
Simplify (g**(-3/7)/(g*g/g**(3/5)))**(-6/5)/(g**(2/3)*(g*g*g**(1/6)/g)/g*(g*g**(-1))**18) assuming g is positive.
g**(1429/1050)
Simplify ((l*l**(1/30))/l*l**(-1/9))/(l/l**(-12))**(-2/9) assuming l is positive.
l**(253/90)
Simplify ((((p/((p**5/p)/p))/p**(-1/7))**(4/5))**(-1/50))**(23/5) assuming p is positive.
p**(598/4375)
Simplify ((i**(-12/5))**(-42)/((i*i**(-12/11))/(((i/(i*(i/(i*i**37*i))/i*i))/i)/i)))**(-1/19) assuming i is positive.
i**(-7529/1045)
Simplify (x**4*x*x**(1/2)*x*x/x**6*(x*x/x**(1/5))/x*x)/((x*x/x**4)**(1/2))**(28/5) assuming x is positive.
x**(89/10)
Simplify (((y*y*y/(y**(1/10)/y))/y)/y**(7/3))**(-1/56)*((y**(-4)/y*y)/(y*y**(-4/9)))/(y**(-3/4)*y**(3/8)*y) assuming y is positive.
y**(-26161/5040)
Simplify ((v**(1/5)*v)/(v*v**(2/11)))/(v**(-8)/v**(-2))*(v/(v/(v*((v*v**(-2/9))/v)/v)))**12*(v/v**(-1/2))**(-3/37) assuming v is positive.
v**(39437/12210)
Simplify (z/(z*z**(-8/7))*z**(1/4)*z**(19/3)*z**(3/14))**39 assuming z is positive.
z**(8671/28)
Simplify (a**(-2/9)*a*a**(4/7)*a)**(-1/5)/((a**(2/19)/a*a**(1/5))/(((a*a/a**(-6)*a*a)/a)/(a/(a*a*a*a/(a/(a**(1/3)/a))*a)))) assuming a is positive.
a**(69176/5985)
Simplify (b**(-2)/(b/b**5)*(b*b/(b**(-1)/b)*b)**(3/19))/((b*b**0*b)**(7/3))**7 assuming b is positive.
b**(-1703/57)
Simplify (((o**(2/17)/o)/o)/o)**(1/3)/(o*o*o/((o/(o/(o/(o*o*(o**(-4)/o*o)/o))))/o))**18 assuming o is positive.
o**(-49/51)
Simplify (x**(-1/2)*x**(2/7))/(x/x**0*x)**(-35)*(x**0/(x**(-4)*x))**42 assuming x is positive.
x**(2741/14)
Simplify ((x**(-1))**(-21/5)*(x/(x/(x/(x**1*x*x))))**(-39))/((x**0)**17*x/x**(3/5)*x*x**(2/3)) assuming x is positive.
x**(1202/15)
Simplify (t**30*t*t/(t/t**(1/16))*t*(t**(2/11))**(-6/11))**42 assuming t is positive.
t**(1299501/968)
Simplify ((u**(-17/4))**(2/9)*(u**(-22)/u)/u**(-31))**(-8/11) assuming u is positive.
u**(-508/99)
Simplify (w*w**4*w**(-4))**(-28)*((w*w**(-2))/w*w*w*w**2)/(w*w**(-1/7)*w*(w**(-3)/w)/w*w*w) assuming w is positive.
w**(-174/7)
Simplify (r**(-2/7))**(-6/31)*r*r**2*r*r*((r**(2/11)*r)/r)/r*(((r/r**(-8)*r)/r)/(r/r**2))**(-2/23) assuming r is positive.
r**(184882/54901)
Simplify ((w/(w/w**(-2/7)))/w*w/(w**(2/7)*w))/(w**5/w**(-3/2))*w*w/w**0*w/((w/w**(5/2)*w)/w)*w**0*w*w**(1/8) assuming w is positive.
w**(-137/56)
Simplify (((g*g**2)/g)**(-3/37)/(g*g**(-10)*g*g/(g*g*g**(1/17))))**(-45) assuming g is positive.
g**(-251820/629)
Simplify (y*y*y**(-1/13)*(y**(1/19)/y)/y*y*(y*y*(y**(2/3)/y*y)/y*y*y)**(-38))**(-3/11) assuming y is positive.
y**(102523/2717)
Simplify (((n**(-3)*n)/(n*n**(-4)*n))/(n**(-1))**(8/5))/((n**(-1)*n)**12)**20 assuming n is positive.
n**(8/5)
Simplify ((a**34)**(-23/2)*(a**(1/6)/a*a)**15)**21 assuming a is positive.
a**(-16317/2)
Simplify (n*n**(1/2)*n)**(7/3)*(n*(n**(-1/3)/n)/n*n)/n**(-1)*n**(-4)/(n/(n/(n**(-5)/n)))*((n/(n**6/n))/n)/(n*((n*n**3*n*n)/n)/n) assuming n is positive.
n**(-3/2)
Simplify ((((k/((k*k/(k*k**(-1)))/k))/k)/k)**(13/4))**7*((k/(k*k/(k**(1/10)*k*k)*k)*k)/(k*k**(-5)))**(-40) assuming k is positive.
k**(-499/2)
Simplify ((n*n*n/(n/n**(-7/2)))**(5/4)*n*n/n**(1/4)*((n/n**(8/11))/n)/n)**(1/2) assuming n is positive.
n**(-163/176)
Simplify j**(-47)*j**(-1/13)*j*j**(-2/7)*j**(-17)/j assuming j is positive.
j**(-5857/91)
Simplify (m**(-29)/m*m/m**(-1/15)*m*(m**25)**(-40))**26 assuming m is positive.
m**(-400894/15)
Simplify ((j**(1/2)*j**(-2/5))/(j*j**(-2)*j*j**(-3/5)))/(j**(-2)/j**(-2/3)*j/(j*j*(j*j**(-2/5)*j)/j*j)*j/j**(-1/4)) assuming j is positive.
j**(203/60)
Simplify ((z**(-2/3))**(4/9)/(z*z*z**(-5/3)*z*z*z**(2/9)))/(((z*z**(-5/3)/z*z)/z)/(z/z**(-9))*z**(2/9)*z**(-8)) assuming z is positive.
z**(448/27)
Simplify ((i**(1/2)*(i/i**(3/8))/i)/(i*i*i/i**(-3/13)*(i*i/(i/(i*i/((i*i*(i*i**(-5))/i*i)/i))))/i))/((i/i**(-1/8))**12)**(2/19) assuming i is positive.
i**(-18825/1976)
Simplify w**4/(((w*w/(w/w**(-2/15)))/w)/w*w)*w**3*w**(2/9)*((w**0/w)/(w*w**(-7)))/(w**(-1/11)*w**(-4/7)) assuming w is positive.
w**(45107/3465)
Simplify (((l/((l**(-2/17)/l*l)/l)*l*l/(l*l*l*l**(-1/15)))**(-8/3))**(-15))**38 assuming l is positive.
l**(91808/51)
Simplify (h*h*h**(-6))**(1/70)*(((h/(h/(h/(((h/(h*h*h**(11/4)*h)*h)/h)/h))))/h)/h)/h*h/(h/(h*h**(5/12))*h) assuming h is positive.
h**(863/210)
Simplify (((u**(1/3))**(1/55)/(u**(-2/13))**30)**(-32))**(-20) assuming u is positive.
u**(1268864/429)
Simplify ((o*o**(-1))**(-2/9)*o**(-1/5)*o**(-3/5)/o*o*o)/((o**(2/3))**(9/8)*o**(2/5)*o**(2/3)) assuming o is positive.
o**(-97/60)
Simplify b**40/b**39*(b/(b/((b/(b/(b**(-5/2)/b)*b))/b)))**(5/6) assuming b is positive.
b**(-43/12)
Simplify (c**(2/5)/c**0*(c*c*c**(-8)/c)/c**(-8))/(((c/c**(-7))/c**(-3))/(c**(3/5)*c*c**(3/5))) assuming c is positive.
c**(-37/5)
Simplify (z**1)**(-15)/((z*z**(-2/5))/(z*z**(-1/7)))*(z**(-6)/(z*z**5/z*z))/(z**0/z)**(-4/7) assuming z is positive.
z**(-956/35)
Simplify (k**(7/4)/((k*k**(-2/7)*k)/k))/(k**(-7)/k*k**4)*(k**(-1/12)*k*k/(k/k**(-9/5)))**(24/11) assuming k is positive.
k**(4787/1540)
Simplify (r**(-10)*r*r/r**(5/3)*r*((r*((r/((r*r/r**(8/5))/r)*r)/r*r)/r)/r)**36)**(-20/7) assuming r is positive.
r**(-2936/21)
Simplify ((o**(-1)/o**(-4/7))/(o*o/(o/(o**(-2/11)*o))*o*o**5))/(((o/(o*o**(-1/6)))/o)/o**(-1/2))**(-4/13) assuming o is positive.
o**(-25073/3003)
Simplify ((b**(2/9))**(-35))**(-2/7)/((b*b*b*b**(-7)*b**(4/5))/(b/(b*b**5*b*b)*b**(-7))) assuming b is positive.
b**(-386/45)
Simplify ((m/(m**(2/7)/m*m))/(m/m**(2/3)))**(-35/6)/(m*m*m**(2/5)*m*m/(m/(m/(m/(m/((m**(3/2)/m)/m*m))))))**(-27) assuming m is positive.
m**(9277/90)
Simplify ((((k/(k/k**(-3/7))*k)/k)/(k/(k*k/(k*k/k**2))))/((k*k/((k**(4/3)/k)/k))/(k**(-6/7)/k)))**(-20) assuming k is positive.
k**(1660/21)
Simplify (((k**0/k)/((k/k**3)/k*k))/(k*k/(k*k*k**(3/2))*(k*k**(-1/5)*k)/k))/((k**0)**38/(k*k*k**(2/5))**18) assuming k is positive.
k**(449/10)
Simplify ((c**(9/2)*c)/(c**(-4/7)*c*c)*(c**(-1)*c)/c**(1/13))**(-32) assuming c is positive.
c**(-11632/91)
Simplify (((((k/(k*k/k**(1/7)))/k)/k*k*k)/k)/(k*(k*k/(((k**(-2)/k)/k)/k))/k))**(-8)*(k*k**(1/3)*k**8)**(2/9) assuming k is positive.
k**(13784/189)
Simplify ((((o*o**(-1))/o)**6*(o**2)**40)**(-47))**(10/9) assuming o is positive.
o**(-34780/9)
Simplify ((p**(2/7)*p*p*p)**(1/29))**(-18)/(p**5*p*p**(1/2)*p**3*p**(-4/3)/p*p) assuming p is positive.
p**(-12431/1218)
Simplify ((x**(-17))**(2/167)*x*x/(x**(-13)/x)*x**17)**(-35) assuming x is positive.
x**(-191695/167)
Simplify (w**(1/5)*w*((w*w*w*w*w/w**(-1/4)*w)/w)/w)/(w**(-2/7)/w)**47*((w**(3/4)*w)/w**1)**(21/4) assuming w is positive.
w**(39097/560)
Simplify (l**(-11/2)*l**32)/(l**(-21))**(-30) assuming l is positive.
l**(-1207/2)
Simplify ((m**(-1))**(1/13))**(-11/7)*((m**(1/3))**0)**(-34) assuming m is positive.
m**(11/91)
Simplify (((t**(-2)/t*t)/t**7*t**(4/7)/(t/t**(1/2)))**(-8))**(-16) assuming t is positive.
t**(-8000/7)
Simplify (((m**(-3)/m)/(m/((m/m**(-1/2))/m))*(m*(m/(m/(m/(m/(m*m**(-1/4)*m))*m))*m)/m)**25)**(-1))**(2/105) assuming m is positive.
m**(-17/10)
Simplify i/i**6*((i*i**(-6))/i)/i*i*i*(i**(-1/3)*i*i*i*i)/i*i*i*(i*i*i**(-5)/i)/i*i*(i**1)**6/((i**6*i)/i**(1/9)) assuming i is positive.
i**(-92/9)
Simplify ((((g**(2/7))**(19/5))**(-49))**(1/11))**16 assuming g is positive.
g**(-4256/55)
Simplify (((x**(-2/11))**(5/12)*(x/(x**(-2/13)/x))**18)**25)**(-1/8) assuming x is positive.
x**(-829975/6864)
Simplify ((c*c**(-1/4)/c)**(2/27))**6/((c/(c**(-1)*c))**(-12/5)*(c/c**(-4))/c**(-1)) assuming c is positive.
c**(-167/45)
Simplify ((l/(l**7/l))/(l*l**(-4/9)))**23/(((l/l**2)/l)/l*l**6*l)**(7/5) assuming l is positive.
l**(-6002/45)
Simplify (b*b**(4/11)*b*b*b*(b/b**(1/2))/b*b*b)**(-49)*(b**(2/11)/(b/b**6))**(10/3) assuming b is positive.
b**(-5941/22)
Simplify ((y*y**(1/8)*y**7)/(y**(-2/35)*y/((y**(-13)*y)/y*y)))**(-10) assuming y is positive.
y**(1349/28)
Simplify (((f**(-4)/f**(-1/19))/(f**2/f)**(-20))**(2/63))**23 assuming f is positive.
f**(140
|
{
"pile_set_name": "DM Mathematics"
}
|
q = -2*y + 4*q + 19. Suppose -y*n + 62 = -c, w = -c + 3. What is the remainder when n is divided by 4?
1
Let f be (4/6)/((-1)/(-3)). Suppose f*p = -2*p + 12. Suppose -3*u = -0*u + 5*n - 218, -4*u - p*n = -276. What is the remainder when u is divided by 17?
15
Calculate the remainder when 9/3 - 1 - -21 is divided by 13.
10
Let b(x) be the first derivative of -x**4/4 + 2*x**3 - 3*x**2 + 4*x + 2. Suppose -2*n + 5*n = 102. Calculate the remainder when n is divided by b(4).
10
Let o(t) = t**2 - t + 13. What is the remainder when o(6) is divided by 11?
10
Suppose -n - r = -7, 2*r = 4*n - 2 + 4. Suppose i = -2*t + 7, 5*t - 34 = -5*i + i. Let d = i + -7. What is the remainder when d is divided by n?
0
Suppose x + 0*x = 16. What is the remainder when x is divided by 10?
6
Let o(z) = -z**2 + 5*z + 3. Let h be o(5). Suppose y - 5 = 2*r + h, -21 = -3*y + 5*r. Calculate the remainder when 3 is divided by y.
1
Suppose 2*a + 19*a - 1743 = 0. Calculate the remainder when a is divided by 17.
15
Suppose 48*i = 50*i - 32. What is the remainder when 110 is divided by i?
14
Suppose 69 = 3*c + 3*x - x, 0 = 4*c - x - 81. Let r = c - 6. What is the remainder when 57 is divided by r?
12
Let i(u) = -13*u + 1. Let o(c) = c + 14. What is the remainder when i(-2) is divided by o(0)?
13
Let d(n) be the second derivative of -n**4/3 - n**3/3 + n**2 - n. Let j(h) be the first derivative of d(h). Calculate the remainder when j(-3) is divided by 12.
10
Let w be (16/40)/(2/10). Suppose j = 2*n - n - w, -45 = -5*n - 2*j. Calculate the remainder when n is divided by 4.
3
Let d(i) = i**2 + i - 3. Let x be d(-3). Suppose 0 = 3*k - 2*a - 47, -k + x + 11 = -a. What is the remainder when k is divided by 10?
9
Let r be (-8)/3*(-9)/(-6). Let d = 6 + r. Calculate the remainder when d is divided by 1*3/(-1) - -4.
0
Let k = 155 + -25. What is the remainder when k is divided by 6?
4
Let h = -107 + 150. Suppose 3*f + 5*g - h = f, 0 = -2*f + 4*g - 2. What is the remainder when 24 is divided by f?
6
Let s(x) = -11*x + 5*x**2 + 0 + 15 - 2*x**2 - 4*x**2. Let q be s(-12). Suppose q*z + 250 = 8*z. What is the remainder when z is divided by 17?
16
Suppose 0 = 2*a + 3*a - 80. Let p(i) = i**3 - i. Let n be p(-1). Suppose n = -2*r - 2 + 14. Calculate the remainder when a is divided by r.
4
Let w(o) = o + 8. Let n be w(0). Suppose -4 = -3*t + n. Suppose 4*s - 68 = -t*a, -s + 21 = a + s. Calculate the remainder when 36 is divided by a.
10
Suppose 0 = y - 3 - 0. Suppose y*g + 6 = 51. What is the remainder when g is divided by 8?
7
Suppose -35 + 145 = 5*o - 5*z, 4*z = -o + 7. What is the remainder when o is divided by 10?
9
Let i(w) = 2*w + 40. Calculate the remainder when i(0) is divided by 14.
12
Suppose 0*j = -2*j - 2. Let x(p) = -3*p. What is the remainder when 5 is divided by x(j)?
2
Let v = 9 - 3. What is the remainder when 12 is divided by v?
0
Let d = 36 + -23. Let v = 5 - 9. Calculate the remainder when v/(-1)*(-74)/(-8) is divided by d.
11
Let g = 1 + 3. Suppose -2*j - 25 = -v, j + 73 - 8 = g*v. Calculate the remainder when 3/9 + 512/12 is divided by v.
13
Suppose 5*d - 53 = -4*m, -5*m + 2*d - 3*d = -82. Let p(o) = -9*o**3 + o**2 + 2*o + 1. What is the remainder when m is divided by p(-1)?
8
Let s(z) = z**2 - 2. Let d be s(5). Suppose 5*n - 5*g + 4*g = -11, -n - d = 5*g. Calculate the remainder when 18 is divided by (-2 + 5)*(-10)/n.
8
Let y be (-1 - -17) + (6 - 6). Suppose -4*a = -2*a - y. Calculate the remainder when 23 is divided by a.
7
Let b be (-3 + (-7)/(-2))*84. Suppose 4*j - b = 22. Calculate the remainder when 46 is divided by j.
14
Let g = -9 + 13. Suppose -3*d = -8*d + 3*k - 185, 0 = g*d + 5*k + 111. What is the remainder when 33 is divided by d/4*1*-2?
16
Suppose h + 0*h + 4*r = 2, 4*r + 64 = 2*h. What is the remainder when h is divided by 12?
10
Let x(j) = j - 1. Let q be x(4). Suppose 2*h - 9 + 1 = 0. Suppose -q*p - 19 = -h*p. What is the remainder when p is divided by 10?
9
Let y = -60 - -79. What is the remainder when 56 is divided by y?
18
Let s(h) = 14*h - 4. Let p(j) = j**2 - 2*j + 3. Let z be p(2). What is the remainder when s(z) is divided by 10?
8
Suppose 0*y - 4*y - 12 = 0. Let z be 17/2*(5 + y). Let r = 29 - z. Calculate the remainder when 22 is divided by r.
10
Suppose -4*w = -15*w + 286. Calculate the remainder when 231 is divided by w.
23
Suppose 4*l - 18 = -s + 4, 4*s = -4*l + 16. What is the remainder when 16 is divided by l?
4
Let m = -72 - -129. What is the remainder when m is divided by 30?
27
What is the remainder when 4 + (-56)/(-2) - 3 is divided by 8?
5
Let c = 852 - 559. Suppose 6*f - 2*f - 5*b + c = 0, 5*f + 4*b = -356. Let h = f - -104. Calculate the remainder when h is divided by 11.
10
Suppose 3*r + 10 = 5*r. Suppose -g - 24 = -r*g. Suppose -2*w = -w - 4. Calculate the remainder when g is divided by w.
2
Calculate the remainder when (-4)/14 - 7805/(-49) is divided by 40.
39
Suppose -6*g + 3*g = 15. Let r = g + 8. Suppose -w + 0*w - 7 = -3*f, f = -3*w + 19. Calculate the remainder when f is divided by r.
1
Suppose 0 = 5*t - 0*t - 15. Let k(q) = q**2 + q + 2. What is the remainder when k(-2) is divided by t?
1
Calculate the remainder when 74 is divided by ((-20)/4)/10*-30.
14
Let t = 97 - 78. Calculate the remainder when 28 is divided by t.
9
Suppose 5*d - v - 175 = 0, -v + 97 = 2*d + d. Suppose -c - 2*c + 42 = 3*b, 2*b - 3*c = 18. Calculate the remainder when d is divided by b.
10
Suppose -218 = -2*s - k - 0*k, -4*s + 3*k = -426. Calculate the remainder when s is divided by 11.
9
Let m = 11 - -5. What is the remainder when 61 is divided by m?
13
Suppose -3*o = -4*v + 106, -2*o + 21 = 2*v - v. Suppose 0 = 2*c - c - 74. Calculate the remainder when c is divided by v.
24
Let p = -15 - -14. Calculate the remainder when 33 is divided by 12 - (-3 - 6*p).
6
Let i = -34 + 70. Suppose 6*j = 9*j - i. What is the remainder when j is divided by 7?
5
Let a(v) = 9*v**3 + v**2 + 4*v. Let g(p) = -5*p**3 - p**2 - 2*p. Let m(d) = 3*a(d) + 5*g(d). Calculate the remainder when 23 is divided by m(2).
11
Suppose 2*c - 124 = -4*i - 0*c, -5*i + 162 = -c. Let u = -17 + i. Suppose 2*s + 5 = u. What is the remainder when 13 is divided by s?
3
Suppose -84 = -5*j - 3*f, j + f = 2*j - 20. Suppose p - j = -0*p. What is the remainder when p is divided by 10?
8
Suppose 3*s - 3*d = 2*d - 50, -3*s = -3*d + 48. Let h be 1 + (3/1 - s). Let x = 53 - h. What is the remainder when x is divided by 9?
7
Suppose 3*y = -3*l + 9, -5*l + 8*y = 3*y - 5. Suppose -3*z - 14 + l = 0. Let s = z - -22. What is the remainder when 34 is divided by s?
16
Suppose -5*b + 1392 = 11*b. What is the remainder when b is divided by 8?
7
Let x be 2/10 + 128/(-40). Let d be x*(-5)/((-30)/8). Let q(k) = -5*k + 2. What is the remainder when q(d) is divided by 12?
10
Let a = 48 - 35. What is the remainder when a is divided by 5?
3
Let h(o) = o**2 - 9*o - 8. Let b be h(10). Suppose b*s + f - 63 = 0, 5*f + 101 = 4*s - 60. What is the remainder when 101 is divided by s?
33
Let h = 122 - 94. Calculate the remainder when 111 is divided by h.
27
Suppose -3*w + 105 = 2*w. Suppose 0 = 5*c + 2*c - w. What is the remainder when c is divided by 1?
0
Suppose 0 = -19*i + 67 + 9. What is the remainder when 51 is divided by i?
3
Let a(f) = f + 2. Calculate the remainder when a(4) is divided by 5.
1
Suppose 2*u - 100 = 2*q, 5*u + 4*q = u + 176. Let i be -2 + 1 - -35 - -1. Suppose -5*x = -45 - i. Calculate the remainder when u is divided by x.
15
Let d = -3 + 0. Let b = 18 + d. Suppose 4*o - b = -o. Calculate the remainder when 7 is divided by o.
1
Let c be -2 - -50 - (-4 + 3). Suppose 2*q = -10, -4*z - q + c = 2*q. What is the remainder when 30 is divided by z?
14
Suppose y = 4*y - 15. Suppose 0*v + v = 4*z + 1, -y*z - 15 = 0. What is the remainder when (-10)/(-55) - 31/v is divided by 1?
0
Suppose 2*f - 724 = -2*f. Calculate the remainder when f is divided by 46.
43
Suppose 5*v - 85 = -5*l, 0*l + 4*l - 8 = 0. Let i(h) = 10*h**2 - 2*h + 1. Calculate the remainder when v is divided by i(1).
6
Suppose -2*k + 4*b + 74 = -0*k, -4*k + 5*b + 148 = 0. Calculate the remainder when k is divided by 10.
7
Suppose x + 3*s - 30 = 6*x, 3*s + 12 = -2*x. Let f be 1/1*(x + -1). Let p(b) = -4*b + 9. What is the remainder when p(f) is divided by 13?
11
|
{
"pile_set_name": "DM Mathematics"
}
|
a = n - -5324. Calculate the common denominator of 5/36 and a.
396
Let x(d) = 23*d**2 + 186*d - 187. What is the smallest common multiple of 82 and x(1)?
902
Suppose 189*q - 202*q = -91. Calculate the common denominator of -52/57 and (2 - (-435)/(-18)) + q.
114
Let f(j) = -j**3 + 14*j**2 - 5*j - 80. Calculate the lowest common multiple of 8 and f(12).
296
Let z = -62 - -40. Let j be (-86)/(10/(1 - 6)). Let o = j + z. What is the lowest common multiple of o and 18?
126
Let b = -7 - -28. Suppose -2*c + 2*w + 4 = 0, -c + 2*w + 370 = 375. What is the lowest common multiple of b and c?
63
Let c(h) = -16*h**2 + 546*h - 38. Calculate the lowest common multiple of 24 and c(34).
120
Let x(g) = 38*g - 374. Calculate the smallest common multiple of 224 and x(10).
672
Let n = 3739/22 + -169. Calculate the common denominator of n and 5/62.
682
Suppose 3*v - c = -7030, 4*c + 4696 = -2*v - 0*c. Let t = v + 11677/5. Calculate the common denominator of -63/55 and t.
55
Suppose -2*o + 4*t = 9*t + 1100, -4 = t. Find the common denominator of 286*2/(-72)*3 and 3 + 1 - o/189.
42
Let c(o) = 826*o + 7494. What is the smallest common multiple of 16 and c(-9)?
240
Let b = -24144/379819 + -8/3139. Find the common denominator of b and 89/924.
10164
Let p = -30 - -113. Let d = p + -77. Suppose -5*w + 666 = 4*w. Calculate the least common multiple of d and w.
222
Let o(g) = 100*g + 1292. What is the smallest common multiple of o(-11) and 96?
192
Let n(b) = -10*b - 45. Let m = -62 - -67. Let t(z) = -5*z - 22. Let q(d) = m*t(d) - 2*n(d). What is the lowest common multiple of 30 and q(-7)?
30
Let s = 664 + -646. Suppose 0 = -5*n + 3*g + 43, 4*n - 3*g - 35 = -0*g. What is the smallest common multiple of s and n?
72
Suppose 0 = -5*b - z - 164 - 33, -5*b = -5*z + 215. Let l = -70679/7764 + 13/647. Find the common denominator of l and 1/(b/(-51))*(-20)/(-24).
48
Suppose -9*v = 55*v - 1856. Suppose -7*d + 141 = v. What is the lowest common multiple of d and 36?
144
Let h = -11/6 + -61/18. Calculate the common denominator of h and 133/6.
18
Suppose 3*o - 5*j - 11 - 20 = 0, -3*j - 13 = o. Suppose 3*r = -2*y + 296, -o*r - y - 3*y = -208. Calculate the least common multiple of r and (-5)/(1*10/(-4)).
96
Let k(m) = m**3 + 7*m**2 + 125*m - 770. What is the least common multiple of 48 and k(6)?
1344
Let v be (-12480)/(-12380) + (0 - 1). Let g = v - -17831/14856. Calculate the common denominator of g and 97/18.
72
Suppose -3*u + 7*d + 104 = 5*d, 2*u - 4*d = 64. Suppose -63 = -4*g + 3*b, -11 = 4*g - 2*b - 69. Calculate the lowest common multiple of g and u.
36
What is the smallest common multiple of 1000 and (-8 - 0)*((-150)/28)/(12/14)?
1000
Suppose 12*y = -7 - 17. What is the common denominator of 45/56 and 540/392 - (y + 12/3)?
392
Let j = 3464 + -311791/90. Let c = -162879 + 2931853/18. Calculate the common denominator of j and c.
90
Suppose 0 = 37*a - 26977 - 26969. Calculate the smallest common multiple of 144 and a.
11664
Let w = -20307091/572 - -35502. What is the common denominator of -7/312 and w?
3432
Calculate the common denominator of 24/35 and 39*-5*(-4)/(-750).
175
Suppose 27 - 9 = 18*d. Let b be 432/(-27) + 0 + d + -1. What is the common denominator of (-674)/212 + b/(-4) + 0 and 93/22?
1166
Suppose 0 = 105*n - 93*n - 528. Calculate the lowest common multiple of 48 and n.
528
Let l(m) = 77*m + 89. Let i be l(3). Let t = -3602 + 770. Calculate the common denominator of (t/i)/((-3)/(-2)) and 91/8.
40
Let k be 98274/231 + 6/(-14). Let z = k - 375. What is the smallest common multiple of z and 50?
50
Let v be 27 - 25 - (0 + -112). Suppose v + 21 = 9*p. Let l = 85 + -61. Calculate the least common multiple of l and p.
120
Let v be (-109)/(-3) - (-1)/(-3). Let l be 33/v*(3 - -209). Let f = l - 5959/30. Find the common denominator of -79/12 and f.
60
Calculate the common denominator of -21/284 and (-10)/(-20) + (-5 - (-2637)/612).
4828
Let h = 75 - 55. Suppose 0 = -5*n + 6*n - 2. Calculate the lowest common multiple of h and 400/(-10)*(-1)/n.
20
Let p be 5749/(-4)*(-2)/(-226). Let w be 964/(-113) + 1048/131. Let x = w + p. Calculate the common denominator of 77/6 and x.
12
Let a = -53 + 37. Let t be a/(-24) - 8/(-6). Calculate the common denominator of -16/57 and t/(-6) - (-161)/(-77).
627
Suppose 20*s - 2762 + 62 = 0. Suppose -42 = -d + 4*h, -67*d = -63*d - 5*h - s. Calculate the least common multiple of d and (-1)/2*-3*20.
30
Let c = 294001/13890 - -2/6945. Find the common denominator of c and 12/10 + 13124/(-1020).
6
Let c = 7/1295317 - -1816628984188/58289265. Let x = c + -31167. What is the common denominator of x and -7/6?
90
Let c = 5873237/1141556 - 1944/377. Calculate the common denominator of 1/12 and c.
9084
Suppose 4*u - 4*g + 741 = 821, 5*g - 200 = -5*u. Let l = -21 + 37. Calculate the least common multiple of 2 - 3 - (0 - l) and u.
30
Calculate the common denominator of 173/126 and -1 + -4 + (-730)/(-84).
126
Suppose -2090 + 656 = -6*y. Suppose 84 = -y*g + 246*g. Calculate the smallest common multiple of g and 16.
48
Let u = 7013 + -56027/8. Let p = -56689/125216 + 3/1376. Find the common denominator of p and u.
728
Let t = 32721/582467 + -12/87769. Calculate the common denominator of -73/627 and t.
45771
Let r = 24/91 + 4751/273. Let b = 149123/41010 - 4/1367. Find the common denominator of b and r.
30
Let r be (134/8)/((-4)/(-32)). Let d = -94 + r. Calculate the lowest common multiple of 9 and d.
360
Let y = 96 + -54. Let c = 6812 + -6707. Calculate the least common multiple of y and c.
210
Suppose -100 = 5*m - 10*m. Find the common denominator of 107/12 and 26*(-1)/m*(-6)/4.
60
Let d(o) = o**2 + 64*o + 356. What is the least common multiple of 222 and d(-6)?
888
Let x be -12 - (0 + -6) - -6. What is the smallest common multiple of 17 - (x/(-2) - -2) and 40?
120
Let h = -50447 - -32489. Let d = h + 323347/18. Calculate the common denominator of (-2)/(-7) + (-750)/616 and d.
396
Calculate the common denominator of ((10/(-7))/(-5) + 3090/(-84))/2 and 18/11.
44
Let j = 2528 - 2340. Calculate the least common multiple of j and 4.
188
Suppose -8*n + 44022 = -4*o - 13*n, 22012 = -2*o - 3*n. Let z = 2024601/184 + o. What is the common denominator of z and 13/22?
2024
Suppose -14*a - 21 = -12*a + 5*z, a + 3*z = -12. Find the common denominator of -119/20 and 3 + 471/(-60) + (-12)/a.
20
Let x = -6522/13 + 195461/390. Calculate the common denominator of 37/150 and x.
1950
Suppose 4*y + 2*l = 679 + 369, -l = 4. Calculate the least common multiple of 484 and y.
2904
Let n = 13/232 - 3885/65192. Let y = n + -23883/562. What is the common denominator of 19/208 and y?
208
Let u = -248 + 117. Let l = u - -380/3. Find the common denominator of l and 1/27.
27
Let c be (-4)/22 - ((-36)/(-11))/4. Let g be 82*-5*(-1)/(-2). What is the common denominator of g/(-30) - -1 - c/(-4) and -49/18?
36
Let s(m) = -m + 1. Let w(k) = 21*k - 136. Suppose -8*p = -2 - 54. What is the least common multiple of s(-3) and w(p)?
44
Suppose -22*a - 578 = -2162. Let l = -647 - -703. What is the least common multiple of a and l?
504
Let t be (-1)/((-3)/(-12)) - 1137/(-4). Let b = t + -282. Calculate the common denominator of 26/11 and b.
44
Suppose -z + 3*p + 114 = 0, -p = 201*z - 202*z + 106. What is the smallest common multiple of 340 and z?
1020
What is the common denominator of -1 + (432/(-40) + 11)/((-2)/85) and 9/353?
706
What is the common denominator of 445614/(-54810) - (-3)/(6/16) and -19/9?
315
Let y be ((-825)/4 - -6)/(26/(-48)). Let j = -476444/1287 + y. Calculate the common denominator of j and -63/44.
396
Let j = -339 + 364. Suppose 2*g = j*g - 460. What is the smallest common multiple of g and 508?
2540
Let o = -89231051/15640 + 96988/17. Find the common denominator of -127/168 and o.
19320
Calculate the common denominator of -2 - -2 - ((-176)/154 - (-3237)/1932) and -61/46.
92
Let y(m) = -30 - 7*m**2 + 12*m**2 - 15*m - 28*m**2. Let u be y(-16). Let q = 113651/20 + u. What is the common denominator of -25/22 and q?
220
Let a be ((-270)/8)/((-12)/48). What is the least common multiple of 30 and -2*(-8)/6*a/6?
60
Let b = -14/2879 + -987413/17274. Let k be -6 - (-3)/10*(-3048)/18. Let v = b - k. What is the common denominator of 91/6 and v?
30
Let l = 130962151/2018 - 64897. What is the co
|
{
"pile_set_name": "DM Mathematics"
}
|
s seven quarters of a micrometer in nanometers?
1750
What is 509.2862 milligrams in nanograms?
509286200
Convert 0.6930203 centuries to months.
831.62436
What is eighteen fifths of a litre in millilitres?
3600
Convert 186.0166 kilograms to grams.
186016.6
How many nanograms are there in eleven tenths of a microgram?
1100
How many nanograms are there in 8/25 of a microgram?
320
How many days are there in four sevenths of a week?
4
What is seventeen halves of a litre in millilitres?
8500
What is 94079.59 millimeters in meters?
94.07959
How many meters are there in 9.777165km?
9777.165
What is 808338.7 millennia in months?
9700064400
Convert 45.74906 litres to millilitres.
45749.06
Convert 9.986747ug to kilograms.
0.000000009986747
How many decades are there in 0.2281337 millennia?
22.81337
Convert 974.5336km to millimeters.
974533600
How many millennia are there in 1003.67 centuries?
100.367
What is 59/5 of a gram in milligrams?
11800
What is 3/8 of a gram in milligrams?
375
Convert 7.770908kg to micrograms.
7770908000
Convert 0.4286032 decades to millennia.
0.004286032
Convert 3550049.37 nanoseconds to weeks.
0.000000005869790625
What is 1.2645504s in hours?
0.000351264
How many decades are there in eleven halves of a century?
55
What is 23/8 of a litre in millilitres?
2875
What is thirty-one fifths of a tonne in kilograms?
6200
How many milligrams are there in 1/4 of a gram?
250
What is 61/3 of a day in minutes?
29280
Convert 94.16541 litres to millilitres.
94165.41
How many millimeters are there in 45/8 of a meter?
5625
What is one fifth of a litre in millilitres?
200
How many millilitres are there in 975698.5 litres?
975698500
How many nanometers are there in 555811.6 millimeters?
555811600000
How many millilitres are there in fourty-two fifths of a litre?
8400
Convert 642.4091l to millilitres.
642409.1
How many micrometers are there in 41/2 of a millimeter?
20500
Convert 0.6360815l to millilitres.
636.0815
What is one twentieth of a litre in millilitres?
50
What is 0.3078022g in milligrams?
307.8022
How many millimeters are there in twenty-seven halves of a meter?
13500
Convert 723937.7 centimeters to micrometers.
7239377000
What is 7.475092 millilitres in litres?
0.007475092
How many grams are there in seventeen quarters of a kilogram?
4250
What is 81.24736 millilitres in litres?
0.08124736
What is 3/5 of a litre in millilitres?
600
What is 67/4 of a gram in milligrams?
16750
How many months are there in 5.453567 decades?
654.42804
What is three tenths of a decade in years?
3
How many decades are there in 296.1294 months?
2.467745
How many litres are there in 839.3428ml?
0.8393428
How many minutes are there in two fifteenths of a week?
1344
What is 0.7455463 millennia in months?
8946.5556
What is 29/2 of a millimeter in micrometers?
14500
How many litres are there in 0.3165366ml?
0.0003165366
How many months are there in 7/4 of a year?
21
What is 4278.341 centuries in years?
427834.1
How many tonnes are there in 619.7838mg?
0.0000006197838
What is 86.42489 millennia in months?
1037098.68
What is 4.41499us in seconds?
0.00000441499
Convert 72234.2 litres to millilitres.
72234200
What is 3/8 of a millennium in years?
375
Convert 160.0767ng to tonnes.
0.0000000000001600767
What is 203.3633 weeks in milliseconds?
122994123840
How many nanoseconds are there in 1/10 of a microsecond?
100
How many centuries are there in 1/5 of a millennium?
2
How many millimeters are there in one tenth of a kilometer?
100000
What is twenty-seven fifths of a millennium in centuries?
54
How many milligrams are there in 27/2 of a gram?
13500
How many micrometers are there in 5/8 of a millimeter?
625
How many kilometers are there in 24940.84cm?
0.2494084
How many centuries are there in 5.892814 decades?
0.5892814
What is 37402.16mg in grams?
37.40216
What is 91.97377 days in milliseconds?
7946533728
How many hours are there in 2.134182 weeks?
358.542576
How many months are there in 2/15 of a century?
160
How many kilograms are there in 61.02128 tonnes?
61021.28
Convert 67.71575nm to centimeters.
0.000006771575
What is five eighths of a millennium in months?
7500
What is 8997.034nm in centimeters?
0.0008997034
How many decades are there in twenty-one halves of a millennium?
1050
How many milliseconds are there in 5489.704 hours?
19762934400
What is five eighths of a day in seconds?
54000
Convert 97647.28 weeks to minutes.
984284582.4
How many months are there in 5/24 of a millennium?
2500
What is 1/80 of a kilogram in milligrams?
12500
How many years are there in 938.706 months?
78.2255
How many millilitres are there in 3/25 of a litre?
120
How many months are there in 3/16 of a century?
225
How many millilitres are there in 0.3660944 litres?
366.0944
How many decades are there in 64/5 of a century?
128
What is 77/2 of a litre in millilitres?
38500
Convert 9.643794 minutes to nanoseconds.
578627640000
How many years are there in 94267.55 millennia?
94267550
How many millimeters are there in 69/2 of a centimeter?
345
What is fifty-one fifths of a litre in millilitres?
10200
What is 2547.533 decades in millennia?
25.47533
How many milligrams are there in 21/2 of a gram?
10500
What is 3/8 of a hour in seconds?
1350
How many centuries are there in 0.1435434 months?
0.0001196195
How many milligrams are there in 266694.5 nanograms?
0.2666945
How many decades are there in 35.61999 years?
3.561999
What is 18/5 of a millimeter in micrometers?
3600
What is fifteen quarters of a week in hours?
630
What is 778407.2km in millimeters?
778407200000
How many kilograms are there in 59/5 of a tonne?
11800
How many months are there in 11/10 of a decade?
132
Convert 0.7303897 kilometers to meters.
730.3897
What is 2.43427 millilitres in litres?
0.00243427
What is twenty-seven quarters of a litre in millilitres?
6750
What is 1/4 of a millennium in years?
250
How many milligrams are there in thirty-two fifths of a gram?
6400
What is eighteen fifths of a litre in millilitres?
3600
How many millimeters are there in 0.3643725nm?
0.0000003643725
How many seconds are there in 3/5 of a day?
51840
What is seven quarters of a centimeter in micrometers?
17500
How many millilitres are there in 18/5 of a litre?
3600
What is 1/4 of a meter in millimeters?
250
How many years are there in 2005889.7 months?
167157.475
How many millilitres are there in 1/10 of a litre?
100
What is five eighths of a litre in millilitres?
625
What is 63/8 of a tonne in kilograms?
7875
What is 73/4 of a litre in millilitres?
18250
What is 18/5 of a litre in millilitres?
3600
How many milliseconds are there in 0.9489937 hours?
3416377.32
How many millennia are there in 54.10073 years?
0.05410073
What is thirty-one sixths of a century in months?
6200
What is fourty-five halves of a litre in millilitres?
22500
What is thirty-three fifths of a tonne in kilograms?
6600
How many months are there in 227019.8 years?
2724237.6
What is 2248.59 grams in tonnes?
0.00224859
What is 3/10 of a millennium in centuries?
3
Convert 1455430.41ns to weeks.
0.000000002406465625
Convert 1126.03155 hours to weeks.
6.70256875
What is 7/3 of a decade in months?
280
What is 3/32 of a kilometer in centimeters?
9375
How many litres are there in 69.51892 millilitres?
0.06951892
What is three fifths of a litre in millilitres?
600
Convert 0.6071378l to millilitres.
607.1378
How many millilitres are there in 7/2 of a litre?
3500
What is 34915.56 hours in seconds?
125696016
How many months are there in 377306.4 millennia?
4527676800
Convert 5.57883s to hours.
0.001549675
How many millimeters are there in 375.5228m?
375522.8
Convert 2.503227mg to micrograms.
2503.227
How many months are there in 33/5 of a century?
7920
How many nanograms are there in 26/5 of a microgram?
5200
How many millilitres are there in 547.8115l?
547811.5
Convert 494837.3 minutes to nanoseconds.
29690238000000000
What is 1/4 of a kilogram in grams?
250
How many microseconds are there in 15/4 of a millisecond?
3750
What is twenty-one halves of a kilogram in grams?
10500
How many seconds are there in 2/45 of a week?
26880
What is 27/4 of a year in months?
81
How many minutes are there in 5/14 of a week?
3600
What is 7/4 of a litre in millilitres?
1750
How many millilitres are there
|
{
"pile_set_name": "DM Mathematics"
}
|
et z = 157 + k. Solve 4*p = z*h + 4, 7*p - 2*h = 4*p + 3 for p.
1
Suppose n - 4*s - 10 = 6, -n - s = 4. Suppose 0 = -5*u - 138 - 207. Let t = 71 + u. Solve 15 = -5*g - 5*r, -3*g + t*r + 3 - 2 = n for g.
-1
Let n = 14862 - 14860. Solve 3*p + 4 = -n*y, 2*p - 4 = -8*y + 10*y for y.
-2
Suppose -5*m = -4*i - 148 + 2136, 1203 = -3*m - i. Let t = m - -412. Solve 0 = -3*c - t, -2*j - 3*j + 5*c + 20 = 0 for j.
0
Suppose 0 = -23*r - 2318 + 2318. Solve r = 28*j - 29*j - 3*o - 8, -j + 3*o + 10 = 0 for j.
1
Suppose -p = -5*u - 25, -2*p = -8*u + 7*u - 59. Let z be (-40)/30*p/(-4). Solve -4*q - 20 = t, z = -4*t - q - q for t.
0
Suppose 247*a - 243*a + 2 = -5*r, 4*r - 14 = 2*a. Solve -y = -4*x + 21, r*y - 5 = -3*y - 2*x for y.
-1
Let t be ((-9)/(-5))/((-2)/(-10)). Suppose -74*l = 52*l - 75*l - 255. Solve 4*h = 7*h + l*s - t, -s = -3*h - 9 for h.
-2
Let j be (-264)/15*6/(18/15). Let w = 91 + j. Solve 23 = -w*z + 4*q, -5*q = -0*z + 2*z for z.
-5
Let w be (6/(-8))/(2/(-8)). Suppose 0 = -3*h + 5*n + 734, h - 2*n - 86 = 159. Let r = 246 - h. Solve 2*j + a - w = 0, 0 = 4*j + 5*a + r - 0 for j.
3
Let h(z) = z**3 - 84*z**2 - 88*z + 259. Let s be h(85). Solve s*o + 5*t = -12, 5*t = -4*o - o - 10 for o.
2
Let d be (68/12)/(51/18). Solve -314 + 310 = d*h, -h - 2 = 3*c for c.
0
Let q be (0/7)/((-5 - -5) + -3). Solve q*f = 4*f + 4*s + 4, 0 = 4*f - 2*s - 2 for f.
0
Let t be 1/(-1) - (-2 + 5). Let x(m) = 6*m + 24. Let h be x(t). Solve h = -s + 2*p + 2*p - 15, -8 = -2*p for s.
1
Let h(g) = g**3 + 22*g**2 + 86*g - 5. Let v be h(-7). Solve v*m - 129*m - 5*s = 10, 8 = -m - 4*s for m.
0
Let u = 33867 + -33862. Solve 3*l + 4*o + u = 0, 4*l - 654 + 656 = -3*o for l.
1
Let b be (-138)/(-42) - 4/14. Solve 4*x - 1 = r, 2*r = -b*x + 2 - 4 for x.
0
Suppose -99*j = -104*j, q = 2*j + 4. Solve q*c - o + 2 = 0, c = -2*c + o - 2 for c.
0
Let j(q) = 47*q - 9. Let a be j(4). Let b = -175 + a. Suppose w = 4*w - 45. Solve -d - b*k + w = 0, d = -d - 5*k + 21 for d.
3
Let z(l) = 20*l**2 - 49*l + 49. Let u be z(1). Solve -5*b = -0*b - 25, -5*v + u = b for v.
3
Let u be ((-2)/9)/(34/(-765)). Solve 4*k = -v + 21, 6*v = -u*k + v + 45 for k.
4
Suppose 5*q - 6*q = 3*r - 7, 4*q = 3*r + 13. Suppose -2*j = -h - q, -2*h - 18*j + 20*j = 0. Solve 0 = h*v - c - 3*c + 20, 2*v + 3*c = 10 for v.
-1
Suppose -4*d - 4*y - 22 = -6*d, -4*y - 12 = 0. Let z be ((-12)/30)/(2/(-20)). Solve 23 = -z*a + u, 2*a - 3*u + 4 = -d*u for a.
-5
Let q(k) = k**3 + 59*k**2 + 22*k + 1301. Let y be q(-59). Solve 6*t + 4*n - 4 = y*t, -3*t + 8 = 2*n for t.
4
Let a = -12758 + 12766. Solve -a*v = 5*t + 25, 3 = -13*t + 14*t for v.
-5
Let d be (-1 - 1)*(-287 - -283). Solve -4*a = -d, -2*a = 3*f - 3 + 2 for f.
-1
Let p be (-2)/(-14) + (-323)/7 + -2. Suppose -2*a = 5*w - 272, -3*a = -w - 6*a + 57. Let s = w + p. Solve 2*z - s = -0*z - 2*v, 0 = 4*v - 16 for z.
-1
Let t be (-46)/(-4)*(1 - -1). Let n(p) = p + 14. Let d be n(-12). Let c be (d - -10)*(22/(-6) - -4). Solve 2*m - 5*g + t = 0, -6*m + 2*m = 4*g + c for m.
-4
Let r = -49 + 71. Solve 2*m = s + 9, 4*m = -3*s + s + r for s.
1
Let p(d) = -d**2 - 5*d - 2. Let t be p(-3). Let z be 1 - (-6)/(-6) - 1. Let w be 2/z - (-7 + 67)/(-3). Solve -2*n = 5*h - 21, t*h - 2*h - w = 4*n for n.
-2
Let r = 3 - -2. Suppose 9*f = -5*f + 42. Suppose -11 = -f*s + 79. Solve -4*b + r*c - s = 0, 3*b + 3*c = -c - 7 for b.
-5
Let q be (-1 + 0/(-1))*-3. Let h be (279/(-372))/(95/20 + -5). Solve h*g = -3*z - 18, -4*g = q*z - 2*z + 12 for g.
-2
Let n = -6457 + 6464. Solve -2 = g - z, n = -4*g - 2*z - 1 for g.
-2
Let s = 58 - 56. Solve -t = -2*a + 1, 3 = a - 0*a + s*t for a.
1
Let r(t) = 71*t**3 + t**2 - 7*t**2 + 2 - 70*t**3 - 7*t. Let l be r(7). Suppose l*q + g = 4*g + 3, 4*q + 5*g = 17. Solve q*y + 5*j = -y + 41, 4*j = 5*y for y.
4
Suppose 0*b - 4*b + 136 = 0. Suppose 5*a = 3*f - b, 0 = -2*f + 3*f + 5*a + 22. Solve c - j = -f, 2*c + 4*j - 10 = 4*c for c.
-1
Let c(w) = -35*w. Let k be c(1). Let h = k + 40. Suppose -h*t = -i - i - 131, -5*i - 40 = -t. Solve 0 = 5*n - 2*m - 10, 2*n + n - 5*m = t for n.
0
Let c = 2636 - 2605. Let v(z) = -z**3 - 5*z**2 - 5*z + 1. Let h be v(-4). Solve 5*u - 3*d + c = -4, 3*u = -h*d + 13 for u.
-4
Let q = -41 + 43. Suppose 0 = 3*m - q*k + 3*k + 11, -4*k - 4 = 2*m. Let b be (-141)/m + 5/(-20). Solve -3*g = 5*a + g - b, -a - 4*g = -23 for a.
3
Suppose 0 = h - 3*h + 4. Let n be 3 + 3 + -4 + -145. Let k = 158 + n. Solve -4*v = h*z + 1 + 1, -3*z - k = 0 for v.
2
Suppose -5*b + 10 - 29 = 2*r, r = b + 8. Solve -r*j - 14 = -i, 6*j - 9*j = -3*i + 12 for i.
-1
Let t be 5 + 1 - 9/(2 - -1). Solve 0 = 3*m + 4*i - 1, -m = 4*m - t*i - 21 for m.
3
Suppose -29*u + 142 - 20 = 35. Solve -7 = 5*l - 4*l - t, -u*l = -t + 15 for l.
-4
Let a be (7/2 - 1)*4. Suppose a*z = 2*z + 168. Solve 3*f - w - 4*w = -z, 0 = -5*w + 15 for f.
-2
Let l = 804 - 802. Let a(i) = -10*i - 32. Let r be a(-6). Solve -12 = -u - 3*m, 3*u - 5*m = l*u - r for u.
-3
Let o = 89 + -85. Let m be (-4864)/(-1152) - 3/(54/o). Solve 0 = -h - r - 1, 3*r + m = 3*h + 1 for h.
0
Let a be -32*((-3)/(-2) - (6 + -3)). Let t = -23 + a. Suppose 36*u + t = 41*u. Solve -10 = 3*z - z + u*y, 5*y + 30 = 2*z for z.
5
Let g(v) be the first derivative of -2*v**2 + 41*v - 22. Let a be g(-12). Suppose 5*f - a - 21 = 0. Solve -3*m - 17 = -2*w, -2*w - f = 5*m + w for m.
-5
Let u be -2 + 6 + (5/(-3))/((-335)/201). Solve h + 3 = 4*s, -h = -u*s - 6*h - 15 for s.
0
Let r be (292 + -302)/(-1*(2 - (0 - 0))). Solve -r = d, 4 = -41*w + 42*w - d for w.
-1
Let z(n) = -3*n**2 + 59*n - 282. Let g be z(9). Solve 3*y = -5*b + g - 16, 10 = y - b for y.
5
Let b be 1232/24 - (-2)/3. Suppose o - 63 = -b. Suppose -o*m + 4 = -9*m. Solve -2*c = 5*u - m, -u - 2*c - c + 3 = 0 for u.
0
Let k(s) be the second derivative of s**3/3 - 3*s**2 + 5*s. Let d be k(5). Let l = -7116 - -7128. Solve -5*y - l - 28 = d*m, -5*y - 15 = -m for y.
-4
Suppose 0 = -10*j - 7*j. Suppose 2*r = 8 - 0. Solve -3*l + 2*g - 7 = j, 5*l - r*g - g = -15 for l.
-1
Let b(u) = -u**2 - 12*u - 23. Let c be b(-3). Let v be (3/9)/(17/102). Solve 5*z - 4*k = v*z - 26, -k - 3 = c*z for z.
-2
Let x(h) = -h**3 + 39*h**2 - 45*h + 274. Let f be x(38). Suppose 33 = 3*c - a, 5*c - a - 57 = -0*a. Solve -m + 3*b = -f, 0*m = -m + 5*b + c for m.
2
Suppose -3*l - 12 = -q + 9, 2*q - 3*l = 33. Let t be (-6)/(-4) + 6/q. Let r = 4 + 1. Solve -r*a = t*g + 24, -6 = -0*g - 5*g + 4*a for g.
-2
Suppose 5*h - 14 = q, 0 = -q - 2*h - 18 + 46. Solve -15*m = -q*m - x + 3, -2*x = 4 for m.
5
Let c(q) = -65*q + 589. Let w be c(9). Solve 3*b = w*u - 8, -2*u + 8 = 2*u - b for u.
2
Let w(r) = 3*r**2 - 11*r - 5. Let s be w(8). Suppose -3*h - s = -93. Let q be (1 + (h - 0))/(2/(-6)). Solve 0*b + 11 = b + 3*u, u + 13 = q*b for b.
5
Suppose 0 = 2*k + 3*i + i + 884, -4*k = -i + 1813. Let c be k/(-32) + 2/(-16). Suppose 9*o = 2*o + c. Solve -2*f + o*a - 10 = 0, 0 = -f + 3*f + 4*a - 2 for f.
-3
Let x be 19 - (-455)/(-26) - 2/(-4). Solve 12*o - x*p = 9*o + 3, 0 = -3*o + 5*p + 12 for o.
-1
Suppose a + 10 = 15. Let n = 144 - 99. Suppose 6*m - m = -5*t + 75, -3*m - 4*t + n = 0. Solve -r + 2*r - a = 0, 0 = -4*x - r - m for x.
-5
Suppose 3*q - 122 = 5*c, -q + 28 = -2*c - 5*q. Let k be 0 + (-4)/c - (-2)/(-11). Solve 0 = 5*h, h - 3 + k = 3*x for x.
-1
Let k be (0 + -1 + -19)*(14 - 730/50). Solve -10*q - 4*c - 10 = -k*q, 4*q - 2 = 2*c for q.
-1
Let s(o) be the second derivative of 5*o**3/3 - 7*o**2/2 + 2*o + 12. Let i = 28 - 27. Let q be s(i). Solve 2*g - 2*t + 24 - 4 = 0, -20 = g - q*t for g.
-5
Let n(s) = -2*s**2 - 139*s + 2055. Let x be n(-82). Solve 2*p - 2*i - 17 = -3*p, -5 = -x*p + 5*i for p.
5
Suppose -4*h + 15 = 12*d - 11*d, 5*d - 2*h = 75. Solve 0 = -5*a, 3*t + 2*a - 4*a - d = 0 for t.
5
Suppose 0 = 27*r - 23*r + 5*x - 16, 8 = 2*r - 3*x. Solve 0 = -2*o - r, 5*p = 5*o - 15 + 40 for p.
3
Let k be (-2)/(10/(-3))*(-193 + 183). Let p be 45/30*(-4)/k. Suppose 0 = -4*x + 5*x - 4. Solve t - o = -p, -x*o - 20 = t + t for t.
-4
Let n be (5/(-2))/((-22)/88). Suppose -3*v + 6*v - n = 2*l, -15 = 4*v + 3*l. Solve -3*c + 4*d + v*d = -3, 5*c - d = 22 for c.
5
Let n = -192 - -193. Suppose 0 = l - 4*y, 10 = 4*l - 5*y - n. Solve -2*d + 2*z = -3*z + 2, 5*d + 5 = -l*z for d.
-1
Suppose 4*j = 5*u - 113, -u + j = -2*j - 27. Suppose -80 = -q + 6*q - 5*a, 0 = q - 4*a + 19. Let y = u + q. So
|
{
"pile_set_name": "DM Mathematics"
}
|
8?
True
Does 866 divide 281450?
True
Is 6762 a multiple of 69?
True
Is 24 a factor of 113384?
False
Does 9 divide 33165?
True
Does 55 divide 127435?
True
Is 8 a factor of 1291960?
True
Is 1499776 a multiple of 8?
True
Is 126 a factor of 3664246?
False
Is 124740 a multiple of 22?
True
Is 8 a factor of 891048?
True
Is 338 a factor of 608062?
True
Is 4407291 a multiple of 27?
True
Does 4 divide 3874500?
True
Is 2781257 a multiple of 993?
False
Is 295254 a multiple of 375?
False
Is 245 a factor of 374415?
False
Is 254125 a multiple of 125?
True
Is 3612899 a multiple of 80?
False
Is 332377 a multiple of 14?
False
Does 13 divide 6517769?
False
Does 14 divide 4066090?
True
Is 535 a factor of 2373060?
False
Does 169 divide 129792?
True
Is 222040 a multiple of 122?
True
Is 241346 a multiple of 14?
True
Is 30 a factor of 322883?
False
Is 8378255 a multiple of 5?
True
Does 53 divide 144615?
False
Is 1941 a factor of 10256308?
False
Does 80 divide 6984240?
True
Is 397 a factor of 53595?
True
Is 219 a factor of 24309?
True
Is 229 a factor of 671109?
False
Is 5217304 a multiple of 8?
True
Does 9 divide 243648?
True
Is 3210462 a multiple of 54?
True
Is 6 a factor of 14778?
True
Is 4 a factor of 1037038?
False
Does 612 divide 20504551?
False
Is 21 a factor of 453264?
True
Is 15943 a multiple of 107?
True
Is 18 a factor of 9603039?
False
Does 75 divide 36575?
False
Is 403093 a multiple of 31?
True
Is 3002484 a multiple of 37?
False
Does 94 divide 51985?
False
Is 60 a factor of 2312149?
False
Is 1984372 a multiple of 403?
True
Is 885438 a multiple of 18?
True
Does 43 divide 1730107?
False
Is 314959 a multiple of 5?
False
Is 181711 a multiple of 632?
False
Is 42 a factor of 216026?
False
Is 99828 a multiple of 10?
False
Is 12854 a multiple of 3?
False
Is 2106600 a multiple of 217?
False
Does 56 divide 25368?
True
Does 93 divide 153450?
True
Is 13 a factor of 9880?
True
Does 428 divide 404626?
False
Does 23 divide 568380?
False
Does 14 divide 5964?
True
Is 83341 a multiple of 1002?
False
Does 3 divide 1323?
True
Is 543910 a multiple of 34?
False
Does 24 divide 5873832?
True
Is 70 a factor of 1743184?
False
Does 100 divide 673650?
False
Does 14 divide 2016291?
False
Does 149 divide 184462?
True
Is 245506 a multiple of 412?
False
Is 21952 a multiple of 49?
True
Does 14 divide 130712?
False
Does 12 divide 39916?
False
Is 790 a factor of 1392367?
False
Is 30576 a multiple of 208?
True
Is 146276 a multiple of 97?
True
Does 183 divide 2725499?
False
Is 1925266 a multiple of 84?
False
Does 27 divide 119853?
True
Is 19 a factor of 936643?
True
Is 2122497 a multiple of 39?
True
Is 203181 a multiple of 10?
False
Is 26 a factor of 229190?
True
Does 17 divide 3430462?
False
Is 134414 a multiple of 12?
False
Does 52 divide 279730?
False
Does 9 divide 44172?
True
Is 1475 even?
False
Does 27 divide 288586?
False
Is 2621941 a multiple of 3?
False
Is 1601880 a multiple of 210?
True
Is 1620800 a multiple of 800?
True
Does 28 divide 104944?
True
Does 61 divide 39223?
True
Is 48 a factor of 6283632?
True
Is 255 a factor of 1883249?
False
Is 5 a factor of 100328?
False
Does 70 divide 172032?
False
Is 171 a factor of 304380?
True
Is 47 a factor of 77504?
False
Does 134 divide 2420442?
True
Is 309 a factor of 927309?
True
Is 10 a factor of 2718386?
False
Does 22 divide 15620?
True
Is 597 a factor of 2131112?
False
Does 13 divide 4587010?
False
Is 265725 a multiple of 33?
False
Is 66 a factor of 32117?
False
Is 14 a factor of 34084?
False
Is 6 a factor of 7247178?
True
Does 3 divide 538710?
True
Is 6 a factor of 115452?
True
Is 114 a factor of 2787300?
True
Does 25 divide 361075?
True
Is 31525 a multiple of 97?
True
Is 2 a factor of 150133?
False
Is 128280 a multiple of 10?
True
Is 37557 a multiple of 14?
False
Does 100 divide 237000?
True
Does 14 divide 7980196?
True
Is 34 a factor of 125086?
True
Is 15487 a multiple of 13?
False
Is 276 a factor of 182772?
False
Does 79 divide 696996?
False
Does 13 divide 19266?
True
Is 91 a factor of 508505?
False
Is 756349 a multiple of 319?
True
Is 81175 a multiple of 58?
False
Is 127 a factor of 61433?
False
Is 270918 a multiple of 9?
True
Is 181 a factor of 51836?
False
Is 113 a factor of 39663?
True
Is 40 a factor of 3867973?
False
Is 187616 a multiple of 44?
True
Is 442 a factor of 271239?
False
Is 17107544 a multiple of 139?
False
Does 42 divide 246637?
False
Is 49 a factor of 341726?
True
Is 1099340 a multiple of 19?
True
Is 5 a factor of 1045921?
False
Is 4201632 a multiple of 47?
False
Does 40 divide 265312?
False
Is 1847 a multiple of 9?
False
Is 92 a factor of 706468?
True
Is 99 a factor of 46134?
True
Is 174 a factor of 5924738?
False
Is 200 a factor of 37200?
True
Is 449 a factor of 3878013?
True
Is 135690 a multiple of 241?
False
Is 233082 a multiple of 138?
True
Does 448 divide 922228?
False
Is 25 a factor of 189250?
True
Does 25 divide 524825?
True
Is 457232 a multiple of 8?
True
Is 18 a factor of 4248?
True
Is 35796 a multiple of 24?
False
Is 20 a factor of 3816451?
False
Does 301 divide 1600755?
False
Is 880365 a multiple of 14?
False
Is 16327 a multiple of 9?
False
Does 11 divide 178442?
True
Is 515580 a multiple of 30?
True
Is 50 a factor of 126556?
False
Is 108895 a multiple of 289?
False
Is 14445696 a multiple of 128?
True
Does 9 divide 421952?
False
Is 14943 a multiple of 51?
True
Does 149 divide 143189?
True
Is 48950 a multiple of 24?
False
Is 28538176 a multiple of 776?
True
Is 430947 a multiple of 27?
True
Is 155 a factor of 222639?
False
Is 6684220 a multiple of 792?
False
Is 5111227 a multiple of 138?
False
Does 10 divide 1337593?
False
Is 2321312 a multiple of 34?
False
Does 202 divide 277262?
False
Is 31 a factor of 116444?
False
Does 96 divide 1955983?
False
Is 285256 a multiple of 39?
False
Does 11 divide 1713141?
False
Does 25 divide 67703?
False
Does 16 divide 26704?
True
Is 2905164 a multiple of 799?
True
Is 10305288 a multiple of 889?
True
Is 6141418 a multiple of 17?
False
Does 6 divide 9602413?
False
Does 486 divide 1423008?
True
Is 13 a factor of 210770?
False
Is 2543700 a multiple of 495?
False
Is 11 a factor of 82180?
False
Does 59 divide 6537208?
False
Is 534188 a multiple of 89?
False
Does 15 divide 3227815?
False
Is 177794 a multiple of 40?
False
Does 23 divide 1709774?
True
Is 10 a factor of 116797?
False
Does 366 divide 241926?
True
Is 33 a factor of 414777?
True
Is 54 a factor of 93307?
False
Is 1048950 a multiple of 210?
True
Is 329053 a multiple of 23?
False
Does 3 divide 51561?
True
Is 114 a factor of 80500?
False
Is 18 a factor of 3566178?
True
Is 438 a factor of 1000136?
False
Does 4 divide 951364?
True
Is 114268 a multiple of 371?
True
Does 26 divide 34034?
True
Is 594 a factor of 838912?
False
Is 231 a factor of 2093553?
True
Is 3258704 a multiple of 8?
True
Does 164 divide 1871921?
False
Is 125 a factor of 2955534?
False
Is 87 a factor of 167025?
False
Does 79 divide 565561?
True
Is 3 a factor of 289236?
True
Does 2 divide 1502?
True
Does 3 divide 37344?
True
Does 31 divide 682802?
False
Does 19 divide 704470?
False
Is 547 a factor of 356264?
False
Does 17 divide 5585944?
False
Is 130 a factor of 8602518?
False
Is 52314 a multiple of 175?
False
Is 137 a factor of 151385?
True
Is 207 a factor of 6920255?
False
Does 178 divide 810078?
True
Does 856 divide 3780952?
True
Is 61 a factor of 121113?
False
Is 509 a factor of 80422?
True
Is 3539884 a multiple of 92?
True
Is 582562 a multiple of 226?
False
Is 376 a factor of 260054?
False
Does 14 divide 1861412?
True
Is 367980 a multiple of 20?
True
Does 212 divide 671192?
True
Does 23 divide 1625341?
True
Does 86 divide 115412?
True
Does 90 divide 50551?
False
Is 20 a factor of 504360?
True
Does 102 divide 138568?
False
Is 217107 a multiple of 51?
True
Is 1299378 a multiple of 34?
True
Is 18443113 a multiple of 221?
True
Is 249607 a multiple of 8?
False
Is 57 a factor of 28443?
True
Does 258 divide 897840?
True
Is 3414879 a multiple of 3159?
True
Does 404 divide 2590448?
True
Is 14 a factor of 2238516?
True
Is 2722665 a multiple of 21?
False
Is 59 a factor of 475304?
True
Does 1039 divide 11131846?
True
Is 251455 a multiple of 303?
False
Is 6 a factor of 3609180?
True
Is 259 a factor of 40404?
True
Is 2 a factor of 6485?
False
Does 16 divide 8598?
Fa
|
{
"pile_set_name": "DM Mathematics"
}
|
)/36*-7*(-136)/306. Which is greater: o or -1?
o
Let y be 6/(-15) - 4/(-35). Let b = 15/41 + 11/82. Is y > b?
False
Let p = 361.51 - 361.81. Let d = 0 - 0.2. Let k = d + 0.6. Which is smaller: p or k?
p
Let c be (-1 - (-1)/(-1))*(-20)/360*3. Let y = -74.049 + 74. Is c < y?
False
Suppose -4*l = -0*b - 3*b + 13, -l = 4*b + 8. Let g = -7838 + 101870/13. Which is smaller: g or b?
g
Let j = -6 + 8. Suppose 5*q + 37 = 5*i + j*q, 5*i - 35 = 5*q. Let h be ((-12)/(-210))/(i/10). Is -1 at least h?
False
Let l(s) = -s - 4. Let b be l(4). Suppose 0 = -g + 4, 0 = 3*j + 4*g + 13 - 5. Do j and b have the same value?
True
Suppose 5*b + 0*x - 45 = -4*x, b + 5*x = 9. Suppose b - 8 = n. Do -4 and n have the same value?
False
Let v = 54 - 85. Which is smaller: -28 or v?
v
Let o = -11 + 8. Let c = o - -3. Let j be (1 + -2)/(8/2). Which is smaller: j or c?
j
Suppose 2*r = -2*p + 4 + 6, -5*p - 3*r = -21. Let k be (6/(-18) - (-1)/p)/(-3). Is k > -11/15?
True
Suppose -3*z + 7 = -5. Let t be 10*(-1)/(-8)*z. Suppose 4*a = 5*c + 2*a + 2, -t*c + a = 1. Is c bigger than 2?
False
Let d = 0.02 + -16.02. Let s = 0.12 - 13.12. Let a = d - s. Are -0.1 and a equal?
False
Let t = 12 + -21. Let p = t + 13. Suppose g + 3*g = -2*o + 20, 2*g = -2*o + 10. Is p > o?
True
Let g be 2*(-1 - (-15)/6) - (45 + -75). Suppose 3 = -l - 2*l. Is l bigger than g?
False
Let z(a) = -5*a + 10. Let y be z(10). Let k be (-15)/(-18)*12/y. Let p be (-6)/4*6/45. Is p not equal to k?
True
Let c = -142 - -151. Let p = 2 - 2. Suppose p = 3*q - 0*q - 24. Are c and q non-equal?
True
Let p = -83404 - -6421601/77. Let w = -85/11 - p. Which is greater: w or -1?
-1
Let b = 0.054 - 0.054. Which is smaller: b or 16/15?
b
Let h = 592 + 768. Which is smaller: h or 1/2?
1/2
Let o = -9 + -27. Let r = o + 29. Is r equal to -56/9?
False
Let y(k) = k**3 - 12*k**2 + 27*k - 20. Let r be y(8). Is -58 equal to r?
False
Let v(k) = -k**2 + 12*k - 25. Let n be v(22). Is -247 greater than n?
False
Let s(n) = -2*n + 9. Let o be s(7). Let g = o + 7. Let q(b) = b**2 - b - 1. Let l be q(-1). Which is greater: g or l?
g
Suppose 6*f = 7*f - 6. Suppose 0 = -f*b + 10*b. Which is smaller: b or -1?
-1
Let t be (-1 - 0) + 19 + -4. Let c be (-35)/2*476/(-833). Which is smaller: c or t?
c
Let j = -2867 + 2853. Let o = 8 - 6. Are o and j equal?
False
Suppose 5*h = q + 242, -4*h + 952 = -2*q - 2*q. Which is greater: q or -1?
-1
Suppose 420 = 17*a + 11*a. Let u be (-1 + 0)/((-4)/60). Is u at least a?
True
Suppose 19 = 16*x + 3. Is -2/203 > x?
False
Let o(m) = m. Let j be o(-5). Let s(v) = -v**3 - 6*v**2 - 4*v - 5. Let w be s(j). Is w greater than -43/5?
False
Let s be ((-42)/15 + 2)*10. Let u be (3/(-40))/(-1)*10/s. Which is greater: u or -1?
u
Let s = -210 - -203. Which is smaller: s or -1/5?
s
Suppose 2*f = 7*f. Suppose 5*o - 3*j - 17 = f, 4*j + 11 = 3*o - 8. Suppose 6*h = -3*h - 3*h. Is o greater than h?
True
Suppose -153 = 4*z + 147. Let v be (-28)/(-35) - (-369)/5. Let g = v + z. Is g less than or equal to 0?
True
Let c be 9 + (-9 - 3) + 20. Which is smaller: -4 or c?
-4
Let j = -139 - -138.9. Is j not equal to 164?
True
Let g = -12 + 6. Let w be -3 + 2/((-4)/g). Let l be w*(-2)/8*1. Which is bigger: l or 3/4?
3/4
Suppose 0 = 4*h + 206 + 146. Let s be 202/(-22) + (-16)/h. Which is bigger: s or -10?
s
Let n be (2/(-6))/(-1)*(-8 - -16). Let u = n - 3. Which is greater: -0.13 or u?
-0.13
Let y = -4691/3 - -1435. Which is bigger: y or -130?
y
Let i(m) = 0 + 0 - 8*m + 7*m + 15*m**3. Let x be i(1). Let q(l) = -l**3 + 2*l**2 + l - 1. Let s be q(-2). Is x >= s?
True
Let d be ((-80)/(-15))/(((-40)/36)/10). Which is greater: -46 or d?
-46
Let c(u) = -4*u - 31. Let z be c(-12). Suppose -16*m = -z*m. Is m at most -1/88?
False
Let u(v) = -6*v**2 + 37*v**2 + 10*v**2. Let z be u(-2). Let y = z - 659/4. Is 0 at most y?
False
Let b be (-2)/8 + (-4989)/(-7812). Let h = 15/31 - b. Let t = 363 + -362. Which is greater: t or h?
t
Let f = 223994/63 - 44125447/12411. Let x = f - 3/197. Which is smaller: x or 0?
0
Let x = 91 + -77.4. Let p = x - 13.5. Is p at least as big as -4/5?
True
Let q = 944.03 - 944. Which is smaller: q or 99?
q
Let a = -2 + -6. Let b = a - -3. Is b greater than 1/2?
False
Let g = 1106 - 1106. Which is smaller: 1/41 or g?
g
Let t = -24 - -24.99. Let x = t - 0.29. Which is bigger: -3 or x?
x
Suppose 16*l = 11*l - q - 1, -4*l = -2*q + 12. Is l <= -2/271?
True
Suppose -11*d - 1332 = -20*d. Are 147 and d non-equal?
True
Suppose -4 = -4*p + 24. Suppose n - 4*n - r + 1 = 0, 0 = -5*r + 5. Which is smaller: p or n?
n
Let y = 898 - 898. Which is smaller: y or -6/119?
-6/119
Let a = -1 - -3. Let y = a - 1.88. Let f = 393.8 + -393.8. Are y and f unequal?
True
Suppose 2*y = 8*y. Let f be (2 - y) + 4/(-2). Is f equal to 5?
False
Let c be (9 + 1/(-1))/(-2). Let s be ((-1)/c)/((-169)/(-26)). Is s <= 0?
False
Let v(l) = l**2 - 9*l - 2. Let i be v(9). Let t = i - -1. Let x be ((-1)/(-3))/((-2)/(-8)*-4). Which is greater: t or x?
x
Let q = -13 - -12. Let t be -2 - (14*q + 1). Which is smaller: t or 10?
10
Let u(z) = -z**3 - 4*z**2 - 4*z + 6. Let f be u(-4). Let k = -13 + f. Suppose d + 11 = k. Is d at least as big as -6/5?
False
Let g be 129/(-282) - 15/(-30). Which is greater: g or -1?
g
Suppose 0 = 4*f - 4, -5*v = f - 2 - 9. Which is bigger: -13 or v?
v
Let z be (-25)/2*76/(-95). Are z and 15 nonequal?
True
Suppose -2*f + 40 = 5*l - 7*f, -3*l + 20 = -2*f. Let u be ((-15)/(-6))/1 - l/4. Let p = -2.93 - 0.07. Which is smaller: u or p?
p
Let z(q) = -2*q**2 + 14*q - 6. Let j be z(6). Suppose 4*m = 2*p - 16, 5*p + 3*m + 19 = -j. Are p and -17/8 unequal?
True
Let x = -0.1 + 0.7. Let m = x - 0.7. Let w = m - -3.1. Which is smaller: -1 or w?
-1
Suppose 0 = 2*g + 2*g + 16. Let n = g - -3. Let j = -1.98 + 2. Which is greater: n or j?
j
Let g = -9 - -4. Let y(f) = f**3 + 4*f**2 - 6*f + 3. Let o be y(g). Let m be 0 - (-2)/o*2. Is -5 less than or equal to m?
True
Let r be (-136)/(-306) - (-5482)/18. Which is smaller: 306 or r?
r
Suppose -17*q = -7679 - 7638. Which is smaller: 902 or q?
q
Let t(p) = -3*p**2 + 74*p + 24. Let m be t(25). Which is smaller: -12/59 or m?
m
Let t be (12 + -8)*(-6)/(-8). Suppose -1 = -y + 5*y + t*d, y - 5*d = 17. Let i be y/1*(-9)/(-6). Are 3 and i non-equal?
False
Let q = 4 - 8. Let j be -1 + (-1 - (-8)/q). Suppose 4 = -5*m - 21. Which is smaller: j or m?
m
Suppose -26*o - 49 = -465. Which is smaller: o or -21?
-21
Let x = -0.391 - -0.291. Which is smaller: 1/11 or x?
x
Let v be (1 + 0)*(12 + (2 - 13)). Are -1/94 and v unequal?
True
Suppose -11*i = -4*i - 35. Suppose v + 4*a = -i, -v - 2*a + 7*a - 5 = 0. Let c = -3 - 1. Is c != v?
True
Let z = -855 - -857.928. Let p = 0.072 + z. Which is smaller: p or -3/7?
-3/7
Suppose -2*m - 1 = -11. Suppose -y - 2*d = 4*y - 33, 5 = -5*d. Is y != m?
True
Let l = -4 - -5. Let w be (-22332)/27 + -3 - -3. Let f = w - -828. Is f greater than or equal to l?
False
Suppose -11*p + 9*p + 14 = 0. Suppose 3*q - 11 = -x, -4*q + 9 = -3*x + 3. Is p less than or equal to x?
False
Suppose 69*o = 17908 + 22526. Is o less than or equal to 585?
False
Let z(v) = -4*v - 27. Let w be z(-8). Suppose -w*l = -l. Let t be 14/20 - 8/40. Which is bigger: t or l?
t
Let n = 25.33 + -0.33. Let t = 3 - n. Let f = -33 - t. Is f less than -2?
True
Suppose -76*b = 11*b + 87. Which is greater: -6/5 or b?
b
Let b = -192 + 193.1. Let u = 0.01 + -6.01. Let m = -7 - u. Do b and m have the same value?
False
Let w = -137/84 + -1/28. Let n(f) = 2*f + 2. Let o be n(3). Let u be ((-1)/6)/((-2)/o). Is w at least as big as u?
False
Let h = 112 - 105.26. Which is smaller: 1/3 or h?
1/3
Let k = -3 - -6. Let h = k - -2. Let j(g) = g**2 + 19*g - 88. Let m be j(-23). Which is greater: h or m?
h
Let h = -576 + 6330/11. Let g be 2/(-10) - (-8)/(-10). Are g and h nonequal?
True
Let h(y) = y**3 - 5*y**2 + y + 12. Let d be h(4). Which is smaller: d or 2/25?
d
Let m = -2705397/13 + 209460. Let x = m - 1355. Which is greater: -2 or x?
-2
Let g = -44 - -78. Let f = -33.79 + g. Let j = -0.09 - f. Which is bigger: 2 or j?
2
Let l be (-1 - 0) + ((-3)/6 - -1). Which is bigger: l or 23?
23
Suppose 4*g + 3 - 41 = -3*l, -4*l = 3*g - 25. Let a(b) = b - 21. Let u be a(g). Let f be (-6)/u + (-12)/30. Which is smaller: 1 or f?
f
Let p = 0.05949 + 0.01051. Suppose 0*f + f
|
{
"pile_set_name": "DM Mathematics"
}
|
3 + 12*g
Expand -56924*d + 56924*d - 796*d**3 + (d - 1 + 1)*(0*d - 2*d**2 + 0*d) + 3*d**3 + 3*d**3 - 2*d**3.
-794*d**3
Expand (1025*h - 1025*h - 21 + 2*h**2)*(411 - 411 + 18*h**2).
36*h**4 - 378*h**2
Expand (-20 + 66886*f + 66882*f - 133762*f)*(-2 + 2 + 1).
6*f - 20
Expand (-59450 - 1300*b + 59450)*(-6 + 2 + 2)*(0 + 1 - 3).
-5200*b
Expand (3*q**5 - 7*q**5 + q**5)*(-216 + 372 + 395)*(1 + 1 - 1).
-1653*q**5
Expand (5*o - 2*o - 1 + 2)*(47*o + 137*o - 83*o) + (o - 3*o - 5*o)*(-2 - 2*o + 2).
317*o**2 + 101*o
Expand 96*v**2 + 120*v**2 - 293*v**2 + (0 - v + 0)*(5*v - v + 0*v).
-81*v**2
Expand (-1 + 1 - 2*z)*(66 - 243 - 59) - 8*z + 11*z - 4*z.
471*z
Expand 2*m**2 + 0*m**2 - 4*m**2 + (5 - 3 - 6)*(0*m + 0*m + 4*m**2)*(2 - 2 + 12).
-194*m**2
Expand (4 - 2 - 5 + (0 - 5 + 4)*(0 - 3 + 1) + 0 + 1 + 1 + 1 + 1 - 7)*((-1 + 0 + 3)*(12*w + 18*w - 4*w) + (1 - 2 - 1)*(0 + 0 + 2*w)).
-192*w
Expand (2 - 2 + 2*d)*(d + 4 - 4) + d**2 + 0*d + 0*d + 68*d**2 + 816*d - 816*d.
71*d**2
Expand (v + 0 + 0)*(16 - 27 - 11)*(0 + 2 + 12)*(-15 - 18 - 24).
17556*v
Expand -4*g + 4*g + g**4 - 1 + (-g + 20*g - g)*(-57*g**3 + 109*g**3 - 56*g**3).
-71*g**4 - 1
Expand (13*n**2 - 78*n**2 - 10*n**2)*(2*n + 84 + 14*n**3 - 84).
-1050*n**5 - 150*n**3
Expand (177*q + 518*q + 379*q)*(3*q**2 + 2*q**2 - 4*q**2).
1074*q**3
Expand (14 - 2 + 7)*(7*l + 0*l + 0*l)*(7 - 1 - 4)*(-6 - 5*l**2 + 6).
-1330*l**3
Expand (9 + 139 - 158 - 127*j)*(0*j + 0*j + 3*j).
-381*j**2 - 30*j
Expand (156*d + 0 + 153*d - 1 + 1 - 181*d)*(16*d + 12*d - 5*d).
2944*d**2
Expand (-124 + 254 - 129 - 101*s)*(-2*s - s + 6*s)*(-3*s**2 + 8*s - 8*s).
909*s**4 - 9*s**3
Expand (-6*n**2 - 2 + 2)*(9301 - 950*n**2 - 9301).
5700*n**4
Expand (-800 + 16*n + 800)*(-2 - 1 - 2)*(5 - 1 + 18).
-1760*n
Expand (-26 + 54 - 53)*(-2 + 31 + 0)*(3*u**2 + 0*u + 0*u).
-2175*u**2
Expand (-5*x + 15 - 15)*(-8 + 18 - 8).
-10*x
Expand (-14 + 46 + 10)*(-2 - 3 + 3)*(2*v**2 - 4*v**2 - 4*v**2)*(-v**2 + 0*v**2 + 2*v**2).
504*v**4
Expand 0*h**4 + h**4 + h**4 + (0 + 0 - h**3)*(-2 + 2 + h) + 9*h**4 + 8*h**4 - 10*h**4 + h**4 - 5*h**4 + 2*h**4 + h - 5*h**4 + h + 3*h**4 - h**4 + h**4 - 3*h**4.
h**4 + 2*h
Expand (-103986*g**2 - 16*g**3 + 103986*g**2)*(13 + 2 - 1).
-224*g**3
Expand (r + 2 - 2)*(-4 + 1 + 2)*(-907*r - 186*r - 1101*r - 3771*r).
5965*r**2
Expand (-x + 5*x - x)*(1 - 2 + 0) + (0 - 1 - 1 + (0 + 2 + 0)*(4 - 2 - 4) - 3 + 3 + 1 - 5 + 1 + 1 - 1 + 2 - 4 + 0 + 2 + 0)*(2*x + 3*x - x) - 5 + 3*x + 5.
-36*x
Expand 1 - 1 - 2*b + 2*b + 3*b - 7*b + (1 - 4 + 1)*(-4*b + 0*b + 6*b) - 2*b - 1 + 1 + 31499*b - 1 + 1 - 141826*b - 4672*b.
-115009*b
Expand (2*f + f - 4*f)*(-f + 2*f + f) + f**2 - 3*f**2 + f**2 - 78*f**2 - 102 + 79*f**2 - 173.
-2*f**2 - 275
Expand (87*a + 196 - 196)*(4 + 1 - 2) + 3*a + 9*a - 8*a + 0*a - a - a.
263*a
Expand -6*l**2 - 86 + 86 + (9*l - 46*l + 2*l)*(-5*l + 0*l + 3*l + (2 - 4 + 1)*(2*l - 3*l + 2*l)).
99*l**2
Expand -130*x + 95*x + 193*x + x + 3*x - 6*x + (-2 - 1 + 2)*(x - 4 + 4) + x - 3*x + x - 4 + 4 + 2*x - 5*x + 3*x + 6*x.
160*x
Expand (12*c + 67*c + 0*c)*(3 + 1 - 5)*(-28 + 25 - 8*c + 6*c).
158*c**2 + 237*c
Expand (-s**2 + 5*s**2 + 4*s**2)*(-120*s + 24*s - 182*s).
-2224*s**3
Expand (z - 2*z + 4*z)*(413*z - 792*z - 1998*z - 4667*z - 2877*z + 1101*z).
-26460*z**2
Expand (-2 - 1 + 1)*(286122*x**2 + 80 - 78 - 798*x - 286127*x**2).
10*x**2 + 1596*x - 4
Expand -4*t**3 - t**3 + 3*t**3 - 12*t**3 + 6*t - 6*t + (6*t**2 + 8*t**2 + 6*t**2)*(0*t - 2*t + t).
-34*t**3
Expand 0*d**3 + 0*d**3 + 2*d**3 - 2*d**3 + 4*d**3 - 4*d**3 + d**3 - d**3 - 2*d**3 + (28*d + 0*d - 8*d)*(1 - d**2 - 1) + 0*d**3 + 3*d**3 - d**3.
-20*d**3
Expand (-3 + 6 - 1)*(-140 + 262 - 152)*(-3 + 3 - 2)*(0*y**5 + y**5 + 0*y**5).
120*y**5
Expand 208*n**3 - 99190 + 99190 + 2*n**3 - 4*n**3 + 3*n**3 + (-1 + 2*n**2 + 1)*(0*n + 3*n - 4*n).
207*n**3
Expand -23 + 23 + 40*d**3 + (-5*d + 0*d + 4*d)*(-372 - d**2 + 372) - d**3 - d**3 + 5*d**3 + (3*d + 2*d - 4*d)*(1 - 1 + d**2).
45*d**3
Expand 31512*z**3 + 30696*z**3 - 63346*z**3 + (3*z**2 - 2*z**2 + 0*z**2)*(2 - 2 + z) + 0*z**2 - 2*z**3 + 0*z**2.
-1139*z**3
Expand (-3*k - 17 + 15 + 8)*(45 - 76 - 101).
396*k - 792
Expand 279884*v**2 - 243225*v**2 + 1 - 1 + (0 + 2 - 3)*(v**2 + 0*v**2 - 3*v**2) - 3*v**2 + v**2 + v**2.
36660*v**2
Expand 83 - 5*z**2 - 83 + 0*z - 2*z**2 + 0*z + (-5*z + 4*z + 0*z)*(2*z - 4*z + 4*z) + 63 - 63 - 25*z**2 - 2*z**2 - 2*z**2 + 0*z**2.
-38*z**2
Expand (2*p**5 + 682*p**4 + 3910*p - 3912*p + 1 - 768*p**4)*(-3 + 0 + 2)*(5 - 4 - 2).
2*p**5 - 86*p**4 - 2*p + 1
Expand 2*h**4 + h**4 - h**4 + (2 + 3 - 3 + (-2 - 5 + 5)*(8 - 1 - 2))*(128*h**4 + 5636*h**2 - 5636*h**2).
-1022*h**4
Expand 164 - 164 + 22*b**3 + b**3 - 4*b**3 + 2*b**3 + (-4 + 3 - 1)*(-b + b + b**3) + 0*b**2 - 2*b**3 + 0*b**2 - 1 + 4*b**2 + 5 - 2*b - 5 - b**3.
16*b**3 + 4*b**2 - 2*b - 1
Expand -l**2 - 2*l**2 + l**2 + (2*l + 5*l - 6*l)*(-2 + 2 + l) - 1612*l + 2*l**2 - 1573*l - 47 + 3176*l.
l**2 - 9*l - 47
Expand (-5878*t - 9274 + 55*t + 9274)*(t + t - t).
-5823*t**2
Expand (-2*a + 1 - 1)*(-5 + 4 - 2)*(-4*a**4 - 2*a**4 + 2*a**4).
-24*a**5
Expand (5 - 5 + 4*x**4)*(3 - 1 - 1 + (1 - 5 + 3)*(10 - 1 - 6)*(-1 + 1 - 1)) + 18*x**4 + 29*x**4 + 11*x**4.
74*x**4
Expand -s**2 - 3*s**2 + 3*s**2 + (s - 1 + 1)*(20*s - 97*s + 6*s) + 2*s**2 + 0*s**2 - s**2.
-71*s**2
Expand (3954 - 1540 - 858)*(n - 5*n + 3*n).
-1556*n
Expand -67*w**3 - 2*w**4 + 2*w**2 + 67*w**3 - 3 - 83*w**4 + 41*w**4 + 29*w**4 + (2*w**2 - 2*w**2 + w**2)*(2*w**2 + 3*w**2 - 6*w**2).
-16*w**4 + 2*w**2 - 3
Expand (3 - 1 + 0)*(3 - 3 - u)*(-3*u + 3*u - 2*u**2)*(135 + 196 - 261)*(u + 5*u - 7*u).
-280*u**4
Expand ((-3 + 4 - 3)*(0 + 0 - 1) + 54 - 10 + 5)*(-271*w + 18 - 27 + 7).
-13821*w - 102
Expand (-z - 1 - 1 + 0)*(-182 + 78 - 192).
296*z + 592
Expand (-1135704 - 2894*a + 1135704)*(-3 + 3 - 2*a**2) + (a**2 + 3 - 3)*(-3*a + a + 4*a) - 3*a**3 + 3*a**3 - a**3.
5789*a**3
Expand (14 + 32 - 53 + 52*b**3)*((-3 + 2 + 2)*(15*b - 8*b + 11*b) - b + 3*b - 3*b).
884*b**4 - 119*b
Expand ((0 - 3 + 2)*(-6*y + 13 - 13) - 4*y - 4*y + 5*y)*(4*y**3 + 2*y**3 + 3*y**3).
27*y**4
Expand (-1 - o + 1)*(-o - 2*o - o)*(353*o + 657*o - 174*o).
3344*o**3
Expand -4*l**3 - 7*l**3 + 0*l**3 + (-2*l + 0*l + 4*l)*(-3*l + 3*l + l**2) - l**2 + 2*l**3 + l**2 + l**2 - l**3 + 5 - 48 + 21.
-8*l**3 + l**2 - 22
Expand (0*z - 2*z + 3*z)*(-3*z + 3*z + z - 3*z + 4*z + 0*z + (-3 + 1 + 1)*(-z - z + z) + 0*z + 4*z - 2*z - 259*z + 12*z - 1694*z).
-1936*z**2
Expand (-4*g + 2*g**2 + 4*g)*(-6120*g**2 + 3057*g**2 + 2*g + 3058*g**2 - 29*g**3) + (4*g + 2*g + 0*g)*(g**4 + g**4 + 0*g**4).
-46*g**5 - 10*g**4 + 4*g**3
Expand (-3 + 3 - a**2)*(-14*a**2 + 878*a**2 + 4281*a**2).
-5145*a**4
Expand -7*p**3 - 67*p**2 + 67*p**2 + (8*p**2 + 75*p - 75*p + p**3)*(-9 + 6 - 7).
-17*p**3 - 80*p**2
Expand (-5*m - 2*m + 2*m)*(-3 - 6 + 1) + 3*m - 7*m - 3*m - 5*m + 0 + 0.
28*m
Expand (21 - 21 + 8*i**2)*(-14*i - 335 - 11*i - 17*i + 44*i).
16*i**3 - 2680*i**2
Expand (-3900 - 1303 + 103 - 2235 + 174)*(4*l - 6*l + l).
7161*l
Expand (4*l**4 + 2*l**4 - 2*l**4)*(5 - 2 + 1) + (-2*l**2 + 2*l**2 - l**4)*(-13 - 5 + 7).
27*l**4
Expand (-116 + 114 - 924*t - 1047*t)*(-t - 3*t + 5*t)*(-3 - 2*t + 1 - 6*t).
15768*t**3 + 3958*t**2 + 4*t
Expand (0*r + 0*r - 2*r)*(-2 - 1 - 5) + (3 + 2 - 6)*(r - 4*r + r) - 3*r - r + 3*r + (1 - 17*r + 12*r - 2)*(-3 + 3 + 1).
12*r - 1
Expand (f**2 + f**2 - 3*f**2)*((f - 4*f + 5*f)*(3*f + 0*f + 0*f) + 3*f**2 + f**2 - 3*f**2 + 44*f**2 + 6*f**2 - 6*f**2).
-51*f**4
Expand -6 + 6 + 5*f + 2*f + 0*f - f + (-1 + 2 - 2)*(-3*f + 6*f - 2*f) + 2 - 2 + 2*f - 210 + 13*f - 3*f - 11*f.
6*f - 210
Expand (-36 + 87 - 31)*(-48*r**4 + r - 8*r**4 + 25*r**4).
-620*r**4 + 20*r
Expand (-3 + 310 - 15)*(-2 + o + 2)*(4*o**3 - 5*o**3 - 5*o**3)*((-3*o + 4*o + 0*o)*(2 - 1 - 3) - 2*o + o + 0*o).
5256*o**5
Expand (2 - 4 + 1)*((3*a - a + 0*a)*(3*a + a - 3*a) + 4 - a**2 - 4 + 46*a**2 - 82*a**2 - 61*a**2)*(-3*a + 4*a + 11*a)*(-a - a + a).
-1152*a**4
Expand -2*d**2 - 10 + 10 - 2893*d - 84*d**2 + 2893*d + d - 2*d**2 - d + (-2*d + 0*d + 0*d)*(4*d - 5*d + 2*d) - 1 + 1 + 2*d**2 + (2*d - 4*d + 0*d)*(2*d + 1 - 1).
-92*d**2
Expand -3*o + 3*o - o**3 + (-3*o + 2*o + 3*o)*(2*o + 2*o**2 - 2*o) - o + 2*o**3 + o - 454*o**3 + 4 + 2 + 320*o**3.
-129*o**3 + 6
Expand (-59 - 38*k**3 + 59)*(k + 2*k - k)*((2 + 3 - 3)*(2*k - 2*k - 2*k) - 179*k - 151 + 151).
13908*k**5
Expand (-
|
{
"pile_set_name": "DM Mathematics"
}
|
2 wrt w?
-12*c - 64372872*w
Find the first derivative of 193668984*b*f**2 - 236626105*f**2 wrt b.
193668984*f**2
What is the derivative of -11603216*i + 781279 wrt i?
-11603216
Find the third derivative of 12562*d*w**4 + 309*d*w**3 - 16*d*w**2 + 59*d*w - 20*w**2 - 9 wrt w.
301488*d*w + 1854*d
What is the third derivative of -n**4*p + 7*n**4 + 1693677*n**3*p - n**2*p - n**2 + 1336*n*p - 3338 wrt n?
-24*n*p + 168*n + 10162062*p
Differentiate 3329*p**2 - 473*p + 16293071.
6658*p - 473
Find the third derivative of -559*w**4 - 179217*w**3 - 11205*w**2 - 7*w + 121.
-13416*w - 1075302
Find the second derivative of 152*d**5 - 1386990*d**3 + 175612585*d wrt d.
3040*d**3 - 8321940*d
What is the third derivative of -10*a**4 + 3*a**3*y + 1166184*a**3 + 2*a**2*y - a**2 - 11917*a*y - 3*a - 27*y + 1 wrt a?
-240*a + 18*y + 6997104
Differentiate -39773*i**3*u**3 - 165*i**3 - 6*u**3 + 2*u**2 + 2*u + 1945456 wrt i.
-119319*i**2*u**3 - 495*i**2
What is the third derivative of 92879988*r**5 - 138971786*r**2?
5572799280*r**2
Find the second derivative of 5*y**5 + 162*y**4 + 2137*y**2 - 3050*y - 3460 wrt y.
100*y**3 + 1944*y**2 + 4274
What is the second derivative of -112777*j**4 - 24*j**3 + 4332727*j wrt j?
-1353324*j**2 - 144*j
Find the second derivative of -1887207*h**2*p**2 - 3*h**2*p + 2*h**2 + 24*h*p**2 - 345952*h*p + 1 wrt p.
-3774414*h**2 + 48*h
Find the second derivative of -2242*d*i**2*o - 497*d*i**2 + d*i*o - 62166442*d*i - 23*i**2*o wrt i.
-4484*d*o - 994*d - 46*o
Find the second derivative of 32*p**3*r**2 + p**3*r - 6*p**2*r**2 + 1910*p*r**2 - 9*p + 3*r**2 - 16249*r wrt r.
64*p**3 - 12*p**2 + 3820*p + 6
Find the second derivative of u**4 - 5760*u**2 + 4*u - 93565 wrt u.
12*u**2 - 11520
Differentiate 3848079*k - 8724438 with respect to k.
3848079
Find the second derivative of -12144769*s**2 - 4599152*s wrt s.
-24289538
What is the second derivative of 231011228*x**2 + 1069924*x - 30?
462022456
Find the third derivative of -29081*p**5 - 6246*p**4 + 35138*p**2 + 5333 wrt p.
-1744860*p**2 - 149904*p
What is the derivative of 2*b**3*m - 10623*b**3 - b**2 + 30*b*m**2 + 4662*b*m + 9*b - 2*m wrt m?
2*b**3 + 60*b*m + 4662*b - 2
Find the third derivative of -10939*q*v**3 + 2*q*v**2 + 4*q*v - 36*q - 3202*v**3 + 2*v - 350 wrt v.
-65634*q - 19212
Find the second derivative of 787924*t**3 - 302*t**2 - 252071575*t wrt t.
4727544*t - 604
Find the third derivative of -1341582*l**4*q - 2*l**3*q + l**2 + 33*l*q + 180709*q wrt l.
-32197968*l*q - 12*q
Find the third derivative of 30239220*j**4 + j**3 + 285*j**2 + 197401*j.
725741280*j + 6
Find the first derivative of 1025953106*d**3 - 1130037231 wrt d.
3077859318*d**2
Find the second derivative of 13*v**3 + 525507*v**2 - 26*v + 202098.
78*v + 1051014
Find the third derivative of -22114306*s**5 + 2*s**4 - 2*s**3 + 11*s**2 + 18*s - 980 wrt s.
-1326858360*s**2 + 48*s - 12
Differentiate -122223579*i + 41536814 wrt i.
-122223579
Find the third derivative of 8*m**5 - 3210487*m**3 - 100229688*m**2.
480*m**2 - 19262922
Find the second derivative of -2240*k**4 - 2330*k**3 + 2*k**2 + 27946195*k + 1 wrt k.
-26880*k**2 - 13980*k + 4
Find the second derivative of -15511899*p**2*z**2 - 18068307*p**2*z wrt z.
-31023798*p**2
Find the first derivative of -135810887*d + 415427003 wrt d.
-135810887
Find the second derivative of 4531092*a**3*q**2*y + 727*a**3*q*y - a**2*q*y - 3*a*q**2 - 851*q*y wrt q.
9062184*a**3*y - 6*a
Find the third derivative of -20*d**4*u - 281478*d**3 + 2*d**2*u + 3*d - 305*u + 68 wrt d.
-480*d*u - 1688868
Find the second derivative of 4738822*r**2 - 12581305*r.
9477644
Find the first derivative of 3493894*k**2 - 26*k + 340722926 wrt k.
6987788*k - 26
What is the second derivative of 1175862*a**5*z + 12*a**2 - 29868*a*z + 17*a wrt a?
23517240*a**3*z + 24
Find the first derivative of -25*d**2*u**3 - 2117*d**2*u + 246*u**3 + 6415 wrt d.
-50*d*u**3 - 4234*d*u
Find the first derivative of 4*r*t**2 - 69501*r - 9456671*t**2 + 1 wrt r.
4*t**2 - 69501
Find the third derivative of -643164608*g*r**5 + 2*g*r**2 - 8*g - 1698089*r wrt r.
-38589876480*g*r**2
Find the second derivative of 131618591*q**2 - 40*q + 1681362 wrt q.
263237182
Find the third derivative of 36023*b**4*f**2 - 301*b**4 - b**2*f + 10*b**2 - 195*b*f**2 - 203*b wrt b.
864552*b*f**2 - 7224*b
Find the second derivative of -10213890*p**2 - 25*p + 84849 wrt p.
-20427780
Find the second derivative of 2*s**3 + 18635066*s**2 + 3*s - 12518366 wrt s.
12*s + 37270132
What is the second derivative of -178089*a*o**3 + 11*a*o**2 - 16*a*o + a - 39*o + 70 wrt o?
-1068534*a*o + 22*a
Find the second derivative of -8*r**4 - 3*r**3 - 6410*r**2 - 8801727*r.
-96*r**2 - 18*r - 12820
Differentiate 47318058*f**2*p - 1561*f**2 + 2406*f - 1 with respect to p.
47318058*f**2
Find the third derivative of 14827963*t**4 - 146154183*t**2 wrt t.
355871112*t
What is the second derivative of d**2*h**2 - 13*d**2*h + 47081*d**2 + d*h**2 + 7064654*h**4 + 18*h wrt h?
2*d**2 + 2*d + 84775848*h**2
Find the second derivative of 3*b**4 - 2582394*b**3 + 108726972*b.
36*b**2 - 15494364*b
Find the third derivative of -11891*o**5*w - 848*o**3*w - 91311*o**2 - 123*o*w wrt o.
-713460*o**2*w - 5088*w
What is the third derivative of -110339839*o**3 - 2*o**2 + 17772482*o - 4?
-662039034
Find the third derivative of -7784688*s**3 - 22*s**2 + 2*s + 852 wrt s.
-46708128
What is the second derivative of 299074*p**4 + 23*p**3 - 208786*p - 29?
3588888*p**2 + 138*p
Find the second derivative of 7553659*n**2 - 1253210*n.
15107318
Find the second derivative of 22*w**4 - 65323*w**2 - 2*w + 1861589.
264*w**2 - 130646
Differentiate -20*j**2 + 315351*j - 26597142.
-40*j + 315351
Find the second derivative of 73*l**2*t**2 + l**2*t + 104*l**2 - 31031*l*t**2 - 8*l*t + l - 2*t**2 + 59*t - 2 wrt t.
146*l**2 - 62062*l - 4
What is the third derivative of -2*o**4*x**2 + 4678590*o**3*x**2 + 224*o**2 + 1041*x**2 wrt o?
-48*o*x**2 + 28071540*x**2
What is the second derivative of -3*o**3*w - 60*o**3 + 145*o**2*w + 4*o**2 + 3*o*w - 2*o + 3*w - 308 wrt o?
-18*o*w - 360*o + 290*w + 8
What is the first derivative of 17591543*u**2 - 3623574 wrt u?
35183086*u
Find the second derivative of 2*z**4 - 8432482*z**3 + z**2 + 3701392*z.
24*z**2 - 50594892*z + 2
What is the second derivative of 2*j**2*m + 1700971*j**2 - 124*j*m - 2671*j wrt j?
4*m + 3401942
Differentiate 247676231*f**3 - 8004842 with respect to f.
743028693*f**2
Find the second derivative of 64830342*j**3 + 47318793*j.
388982052*j
Find the second derivative of 2*i**4 - 747893*i**3 - 43*i**2 + 513333*i + 142 wrt i.
24*i**2 - 4487358*i - 86
Find the first derivative of 29469587*d**4 - 15936358.
117878348*d**3
Differentiate -16*w**2*y - 3*w**2 + 4*w*y + 2252*w + 7339491*y with respect to w.
-32*w*y - 6*w + 4*y + 2252
What is the second derivative of -l**4 - 869075*l**3 + 56*l**2 - 2*l + 59764586?
-12*l**2 - 5214450*l + 112
Find the second derivative of 3958938*r*z**3 + 24627*r*z - r + 4*z**3 + 136 wrt z.
23753628*r*z + 24*z
Find the first derivative of 3775*h*m**2 - 128*h - 7297941*m**2 + m wrt h.
3775*m**2 - 128
What is the first derivative of 799637*u**2*v + 2*u**2 - 204*u*v + 231488206*v wrt u?
1599274*u*v + 4*u - 204*v
What is the derivative of 4944657*d*u**3 + 17*u**3 + 3*u**2 + 3*u + 12205 wrt d?
4944657*u**3
Find the first derivative of 124006523*q - 102236890.
124006523
Find the second derivative of 64592121*s**4 - s + 14175718.
775105452*s**2
What is the second derivative of 63141827*k**3 - 45*k - 1284393 wrt k?
378850962*k
Find the second derivative of -105775752*j*o**2 - j*o + 19*j + 18997*o - 1 wrt o.
-211551504*j
What is the third derivative of 55*d**3*g**2 - 42296*d**3*g - 3*d**3 + 375219585*d**2*g**2 wrt d?
330*g**2 - 253776*g - 18
Find the second derivative of 29*b**5 - 1251*b**4 + 1649*b**3 + 711*b - 28024 wrt b.
580*b**3 - 15012*b**2 + 9894*b
Find the first derivative of -710855*c**3*t**2 + 2*c**3 - c**2 + c*t**2 - 10131 wrt t.
-1421710*c**3*t + 2*c*t
Find the second derivative of -3*k**2*p**3 + 43043*k**2*p**2 - 2*k**2 - k*p**3 + k*p - 11*p**3 - 286*p + 115 wrt k.
-6*p**3 + 86086*p**2 - 4
Find the second derivative of -978568090*y**2 - 215584603*y.
-1957136180
Find the first derivative of -24956075*u**2 - 19137084.
-49912150*u
What is the third derivative of -669861*
|
{
"pile_set_name": "DM Mathematics"
}
|
cked without replacement from {b: 5, f: 3}. What is prob of sequence ff?
3/28
Calculate prob of sequence wwm when three letters picked without replacement from {m: 7, w: 12}.
154/969
Four letters picked without replacement from {q: 4}. What is prob of sequence qqqq?
1
Three letters picked without replacement from {d: 5, s: 1, c: 2, u: 1}. Give prob of sequence duc.
5/252
Calculate prob of sequence hll when three letters picked without replacement from llvvhllkkklhykvllh.
7/272
Calculate prob of sequence xxbo when four letters picked without replacement from {b: 5, p: 4, o: 2, j: 2, x: 4, a: 2}.
5/3876
Four letters picked without replacement from {h: 4, v: 3, y: 11}. Give prob of sequence yhvv.
11/3060
Three letters picked without replacement from zzzzzzzzzz. What is prob of sequence zzz?
1
Four letters picked without replacement from pwkppwpwvnvk. What is prob of sequence vpwp?
1/165
Three letters picked without replacement from zbzbzbzzbezzezez. Give prob of sequence ebe.
1/140
What is prob of sequence zz when two letters picked without replacement from {a: 2, z: 2}?
1/6
What is prob of sequence jjt when three letters picked without replacement from {t: 1, j: 3}?
1/4
Calculate prob of sequence uq when two letters picked without replacement from fkufnquuuu.
1/18
What is prob of sequence jjjj when four letters picked without replacement from jjjjjjjjjj?
1
Calculate prob of sequence jt when two letters picked without replacement from jjjtjjbjbjjjtj.
10/91
Four letters picked without replacement from tyyttt. What is prob of sequence tyty?
1/15
Three letters picked without replacement from iiiissiiii. Give prob of sequence sis.
1/45
Two letters picked without replacement from llzvxvvvvzxxvvvz. What is prob of sequence zv?
1/10
What is prob of sequence mvr when three letters picked without replacement from zrmlddvmz?
1/252
Three letters picked without replacement from {o: 1, m: 2, y: 1, x: 1, i: 1, p: 1}. What is prob of sequence ipx?
1/210
Calculate prob of sequence ux when two letters picked without replacement from {u: 1, n: 6, y: 1, g: 2, x: 2}.
1/66
Three letters picked without replacement from hyjjngjjj. What is prob of sequence gyh?
1/504
Three letters picked without replacement from bbibinb. What is prob of sequence ini?
1/105
Three letters picked without replacement from yqqqqqqxnyynnrxx. What is prob of sequence yrn?
3/1120
Calculate prob of sequence pm when two letters picked without replacement from gwpiwpm.
1/21
Calculate prob of sequence jvtu when four letters picked without replacement from vtvuj.
1/60
Calculate prob of sequence uis when three letters picked without replacement from {i: 1, u: 1, r: 2, s: 2}.
1/60
Three letters picked without replacement from ixxxiiqx. Give prob of sequence xix.
3/28
Calculate prob of sequence rr when two letters picked without replacement from {r: 7}.
1
Two letters picked without replacement from dddd. What is prob of sequence dd?
1
Calculate prob of sequence px when two letters picked without replacement from axpaa.
1/20
What is prob of sequence vlz when three letters picked without replacement from {v: 2, n: 5, z: 4, l: 4, i: 1}?
1/105
Three letters picked without replacement from ckllcqcckkcqckljj. What is prob of sequence qkl?
1/170
Two letters picked without replacement from {x: 2, o: 3, g: 10, q: 2, w: 3}. What is prob of sequence gq?
1/19
Two letters picked without replacement from {j: 3, d: 2}. What is prob of sequence jj?
3/10
What is prob of sequence yxd when three letters picked without replacement from {y: 1, d: 1, x: 1}?
1/6
Three letters picked without replacement from mvhwhdh. What is prob of sequence mwv?
1/210
What is prob of sequence bbkk when four letters picked without replacement from {b: 2, k: 5}?
1/21
Four letters picked without replacement from {o: 5, q: 3, n: 2}. Give prob of sequence nonq.
1/168
What is prob of sequence sszs when four letters picked without replacement from bbbhbzss?
0
Two letters picked without replacement from {y: 2, u: 4, e: 2, i: 2, b: 2}. Give prob of sequence ye.
1/33
Three letters picked without replacement from rrirrriirrrr. What is prob of sequence iii?
1/220
Calculate prob of sequence att when three letters picked without replacement from ataatattaata.
7/66
Two letters picked without replacement from elvss. What is prob of sequence lv?
1/20
Three letters picked without replacement from eeeooeeeooe. Give prob of sequence eeo.
28/165
Four letters picked without replacement from rhhrfhrhrr. What is prob of sequence fhrr?
1/63
What is prob of sequence svs when three letters picked without replacement from {s: 2, t: 3, v: 8, f: 7}?
2/855
What is prob of sequence yjb when three letters picked without replacement from jbsjubjbbjbyjussjjbb?
49/6840
Two letters picked without replacement from {v: 8, d: 1, r: 1, u: 7}. Give prob of sequence dv.
1/34
Two letters picked without replacement from {a: 1, n: 3}. What is prob of sequence nn?
1/2
Two letters picked without replacement from {l: 4, f: 2, b: 4}. What is prob of sequence bb?
2/15
Calculate prob of sequence iij when three letters picked without replacement from {j: 1, i: 11}.
1/12
What is prob of sequence rxs when three letters picked without replacement from xssjxrrn?
1/42
Three letters picked without replacement from {c: 5, g: 9, q: 2, m: 2}. What is prob of sequence qcq?
5/2448
Three letters picked without replacement from crccrrccccr. Give prob of sequence rcr.
14/165
Three letters picked without replacement from {n: 7, b: 4, w: 4, e: 4, g: 1}. Give prob of sequence web.
8/855
What is prob of sequence htgb when four letters picked without replacement from {g: 1, t: 1, j: 2, h: 1, n: 1, b: 2}?
1/840
Calculate prob of sequence prrr when four letters picked without replacement from {r: 10, u: 3, p: 2}.
4/91
Four letters picked without replacement from {m: 3, r: 5, l: 6, t: 2, d: 1}. What is prob of sequence ldmt?
3/4760
Four letters picked without replacement from mmgmmmggvvgmvmvm. What is prob of sequence vvmm?
1/65
Two letters picked without replacement from {f: 1, n: 1, y: 1, c: 1, i: 1}. What is prob of sequence fy?
1/20
Calculate prob of sequence pezp when four letters picked without replacement from {e: 5, p: 2, t: 9, z: 2}.
1/3672
What is prob of sequence eg when two letters picked without replacement from {d: 1, s: 1, g: 2, e: 3}?
1/7
Two letters picked without replacement from uwmmmwwmmzmmmwk. Give prob of sequence um.
4/105
Four letters picked without replacement from {s: 3, i: 3, p: 2, e: 5}. Give prob of sequence eeip.
1/143
Three letters picked without replacement from {b: 3, k: 3, u: 1, l: 1, f: 2, r: 1}. What is prob of sequence rbu?
1/330
Four letters picked without replacement from qqqqqqqqqq. What is prob of sequence qqqq?
1
What is prob of sequence wrw when three letters picked without replacement from vluvfvvluuuvuvruvuuw?
0
What is prob of sequence mrx when three letters picked without replacement from xmmmmmxmmmmxmrmmrmmm?
1/76
Four letters picked without replacement from qqitniqiniqqqqo. Give prob of sequence into.
1/4095
Three letters picked without replacement from {h: 1, o: 2}. Give prob of sequence ooh.
1/3
What is prob of sequence va when two letters picked without replacement from {e: 3, c: 1, v: 4, a: 1, i: 7}?
1/60
Two letters picked without replacement from {j: 3, k: 1, o: 3, e: 5}. What is prob of sequence oo?
1/22
Three letters picked without replacement from {s: 5, z: 1, y: 4, h: 4, q: 1}. What is prob of sequence syz?
2/273
What is prob of sequence cba when three letters picked without replacement from {b: 4, s: 3, m: 7, a: 4, c: 1}?
8/2907
What is prob of sequence ss when two letters picked without replacement from {s: 9, i: 2}?
36/55
What is prob of sequence mhhh when four letters picked without replacement from {m: 2, h: 9}?
7/55
Calculate prob of sequence uu when two letters picked without replacement from {t: 2, u: 6}.
15/28
What is prob of sequence hr when two letters picked without replacement from {r: 2, h: 1, p: 1, t: 1, a: 1, u: 1}?
1/21
What is prob of sequence euhh when four letters picked without replacement from {u: 4, t: 6, e: 1, h: 6}?
1/476
What is prob of sequence fs when two letters picked without replacement from cfcfftcftttftftccst?
1/57
What
|
{
"pile_set_name": "DM Mathematics"
}
|
82124 + 3.2432.
110.8314124
-4345157790293+-1.2
-4345157790294.2
Work out -48.7564 + 153198360.
153198311.2436
What is the difference between 0.159802151921 and 26.9?
26.740197848079
Subtract 42418340 from -0.50538.
-42418340.50538
Add together -86 and 94578787069.
94578786983
Subtract 0.12 from -1997281682645.
-1997281682645.12
What is 21223680494 take away 19?
21223680475
Calculate -0.463233975 - 1995.
-1995.463233975
Calculate -24.9 + 1314944524.
1314944499.1
What is the distance between 215260 and -351917?
567177
What is 23.4165 - 0.02619099?
23.39030901
-0.1 - -432010404115.2
432010404115.1
What is 2.544559 less than -20149?
-20151.544559
2262.624 + -91601
-89338.376
93.561938756+-0.1
93.461938756
What is -8623292 plus -272603?
-8895895
Work out -480413.3901086 + -4.
-480417.3901086
Work out 7526.932718 - 16032.
-8505.067282
-1322 - -29.049262727
-1292.950737273
Work out 3 - 285.932400390256.
-282.932400390256
Work out -1912899 + 31322.
-1881577
-0.002726056684 - -0.072
0.069273943316
Total of -2320528.6745 and 2.486.
-2320526.1885
What is 5 + 548247063.3?
548247068.3
Sum -7446531 and 10748.
-7435783
Subtract -0.879095929 from 0.
0.879095929
Sum 1474630 and 56465730.1.
57940360.1
Sum -3.84 and 4323795973668.
4323795973664.16
What is 134842.4296977 minus -0.1?
134842.5296977
-5 - -5677698751
5677698746
Calculate 85268 + 1725436.3.
1810704.3
What is 953928 less than -394640?
-1348568
Put together -13388447794 and 5686.
-13388442108
What is 0.1 minus 6.55593814495?
-6.45593814495
Add -0.131178588 and -45760.1.
-45760.231178588
Add together 185683.4 and -191510.
-5826.6
What is -452654582 - -3.352?
-452654578.648
Sum 6 and -5495.75167782.
-5489.75167782
Subtract 603183 from -244302.
-847485
Subtract 9053 from 1501744.93.
1492691.93
What is -1383189 - -0.07171?
-1383188.92829
Total of -1.49 and 1843608315.
1843608313.51
What is 0.88 minus 88773467?
-88773466.12
Add together -1.01610396 and 1013.
1011.98389604
What is -7682 take away -2978.6827?
-4703.3173
What is 2412 plus 179515.989962?
181927.989962
Add -0.4 and 92318793.0726.
92318792.6726
What is 14 less than 2768.547310079?
2754.547310079
Add together 2528 and -58112799.
-58110271
Add -22646381.685 and -0.4.
-22646382.085
What is 1770251759 plus 0.006023?
1770251759.006023
What is -137.3534 less than -1118255?
-1118117.6466
Sum -52284404217 and -2973.
-52284407190
52295845238 - -0.31
52295845238.31
Put together 90755569900 and 1.285.
90755569901.285
What is 26612019331.71 less than 0?
-26612019331.71
What is the difference between 0.07 and -12512373361?
12512373361.07
623643675132 + -8
623643675124
Subtract 1262433 from 160574.59.
-1101858.41
What is 4.9 less than -3953846.1599?
-3953851.0599
-13732025980403 - -5
-13732025980398
What is 2.10161 + 2067.2679?
2069.36951
Total of 0.81469 and 1268.0711.
1268.88579
Put together -0.32526 and -2183267914.
-2183267914.32526
What is 889810683377 - -69?
889810683446
Calculate -0.41100357348 + 5.
4.58899642652
Sum 2432866.4345 and -0.5.
2432865.9345
What is 184848315089280 + 2?
184848315089282
What is 149924403777 minus -0.5?
149924403777.5
What is the distance between -19416994458.6 and -616?
19416993842.6
Subtract 2.2 from 19325687886584.
19325687886581.8
What is the difference between -34100531.147 and 29?
34100560.147
Calculate 0.0046457 + -46.77543.
-46.7707843
Subtract 0.2 from 4.4525030821.
4.2525030821
What is 6 minus 213538105972?
-213538105966
What is -3.666843 - 2.80373?
-6.470573
Put together -3514 and -43.11933786.
-3557.11933786
Total of -22.3 and -243542569038.
-243542569060.3
Subtract 30.67 from -912649374.
-912649404.67
What is -71639740.3 plus 3508?
-71636232.3
Work out 0.3 + 14184554928816.
14184554928816.3
What is -0.07134962 - -38434?
38433.92865038
Put together 3154560429.91 and 5.
3154560434.91
-13441343139 - -15190
-13441327949
What is the distance between 0.04 and 243750597.33?
243750597.29
What is 253782 take away 246649264?
-246395482
Add 336.47 and 461.716801.
798.186801
Calculate 100039526588.5 - 0.05.
100039526588.45
Add 2 and 227448565.291.
227448567.291
Calculate 0.502 + -336636815.
-336636814.498
Add 145 and -2600.44964166.
-2455.44964166
Calculate 68459458 + -1.58.
68459456.42
What is 6.12 take away -10049507235.9?
10049507242.02
What is -3.7 + -652683273872?
-652683273875.7
What is 0.3 less than -0.82336649271?
-1.12336649271
What is -24222.28 plus -281688?
-305910.28
What is -1185411376 + -492?
-1185411868
What is 11704255369240 plus -0.5?
11704255369239.5
What is the distance between -110287 and -31558.12?
78728.88
Sum -676648802735 and 11.
-676648802724
Put together -13 and -353.5811125643.
-366.5811125643
What is -3417124835 minus -38.5?
-3417124796.5
Add 35190430635293 and -4.
35190430635289
Work out 329548.69 + -13556094.
-13226545.31
What is 50558 less than 16616.24?
-33941.76
What is -50563 take away -0.006012112?
-50562.993987888
Subtract 217.841844653 from -7.
-224.841844653
What is -1384.1 plus -0.191199695?
-1384.291199695
What is -25 less than -1263521517385?
-1263521517360
What is 22123.383508 less than 190?
-21933.383508
What is -3 + 18637.307132556?
18634.307132556
What is the difference between -71305818570 and 0.39?
71305818570.39
1643799011198 + -17
1643799011181
-0.039 - 583740.62
-583740.659
Calculate -226.8 - -208299394.
208299167.2
What is 18.3617419 minus 174?
-155.6382581
What is 51 - 256899279.487?
-256899228.487
Sum -3 and -305504087719.
-305504087722
1344557954535 + 1.01
1344557954536.01
Work out 0.24 + -16363231281.
-16363231280.76
Calculate -0.1 - 35045.768572.
-35045.868572
Add together 5120406.446989 and -92.
5120314.446989
Calculate -4164531313 - 146.
-4164531459
Add together 6473.5722815 and -4.6.
6468.9722815
Work out 15297 - 32435961.
-32420664
Work out -82270772874 - -6.
-82270772868
-32+-1701599.0925208
-1701631.0925208
What is -11 less than 18870708745?
18870708756
Calculate -14 - -268605280655.
268605280641
Calculate -1974.44 + 372129.
370154.56
Subtract 5.6 from -2.256009107.
-7.856009107
Total of -0.1 and 5207868.9241.
5207868.8241
Work out -1042785 + 30539.42.
-1012245.58
-555893+0.69324751
-555892.30675249
2523 + -143514626668
-143514624145
Add 28967178 and 5409024.
34376202
Total of 28509.07 and 24376030.
24404539.07
Subtract 0.71463458 from -19689.
-19689.71463458
What is the distance between -95.9489 and 1011541035?
1011541130.9489
Add -25872360.34 and -19526.
-25891886.34
Work out 8.728 + 1860689.
1860697.728
Work out -617118.8 + -24124.
-641242.8
What is 20366.14797 less than -216705?
-237071.14797
What is the difference between -49.3 and -43026220.1?
43026170.8
What is 94486.126251 minus 26?
94460.126251
Work out 0.08 - -708.08060174.
708.16060174
Calculate -0.05 + 0.26649898491903.
0.21649898491903
Subtract -2686035 from -971806.
1714229
Sum 252369.746 and -360.7.
252009.046
What is -426 less than -1745591406?
-1745590980
What is 613261284 - 1.19?
613261282.81
Calculate -1462664329626 - 0.06.
-1462664329626.06
0.11838 - 1327688.4
-1327688.28162
What is -541857 + -291199482?
-291741339
What is -589898191 minus -14443?
-589883748
Put together -688511674618.8 and 3.
-688511674615.8
Put together -2 and -8164400528319.
-8164400528321
Calculate -1684 - -8373005.5174.
8371321.5174
-0.04373 + 8803510900
8803510899.95627
Subtract 42155314981 from -0.4.
-42155314981.4
What is the distance between -926 and 1857.8542354?
2783.8542354
Add together 283909653094 and 215.
283909653309
What is -5255020549841 minus -0.13?
-5255020549840.87
-1419312633862+0.01
-1419312633861.99
19711719.12 + 2.621
19711721.741
What is -277758197607 minus 12.81?
-277758197619.81
Put together 3 and -3.87477541535541.
-0.87477541535541
Put together 118.6 and -0.7093929777.
117.8906070223
What is 0.093 plus -289530.81?
-289530.717
Work out 14198 - -9969336.
9983534
What is the distance between 10.9433720768 and 12?
1.0566279232
Put together 1698374 and 63960339.
65658713
Add together 0 and -5752420.843116.
-5752420.843116
Calculate 75120849 + 27329.8.
75148178.8
What is the difference between -371253 and 0.0778741?
371253.0778741
What is 0.2 plus 281365725415.77?
281365725415.97
Total of -128128413918 and -2.
-128128413920
What is 16.08 - -33695.9828?
33712.0628
What is -253409 - 0.26603936?
-253409
|
{
"pile_set_name": "DM Mathematics"
}
|
mmon multiple of s and k?
99
Suppose 4*h = -t - 0 - 6, -2*h - 2 = 0. Find the common denominator of t/(-5) + 111/(-10) and -31/8.
40
Let q be -4 + 10/15*39. Let j(k) = -47*k + 74. Let n be j(q). What is the common denominator of 2/15 - 1288/n and 51/10?
40
Let b(d) = d**2 - 5*d + 6. Let t = -21 + 19. Let m(y) = 5*y**2 - 26*y + 29. Let p(n) = t*m(n) + 11*b(n). What is the least common multiple of 4 and p(6)?
52
Let g(o) = -3*o**2 - 117*o - 706. What is the lowest common multiple of g(-9) and 130?
520
What is the common denominator of ((-633)/(-201))/((-14)/(-4)) + 48/(-84) and -36/7?
469
Let j = -17423/6 - -2899. Let u = -46423/56 - -829. Calculate the common denominator of u and j.
168
Suppose -p - 2*p + 48 = 0. Suppose 5*y + 8 - 18 = 0. Suppose 62 = y*g + 22. What is the lowest common multiple of g and p?
80
Let r(a) = -a**2 + 27*a - 1. Let c be r(27). What is the common denominator of 15/428 and (3311/84)/11*2/c?
1284
Let i(d) = d**2 + 21*d + 56. Let t(c) = 16*c + 13. Let f be t(-2). Calculate the smallest common multiple of 6 and i(f).
18
Let a(d) = 17*d**2 - 20*d - 259. Calculate the lowest common multiple of a(-7) and 168.
2856
Let l = -12821/4635 + -6/515. Let n = -3721/499536 - -7/13876. What is the common denominator of l and n?
144
Suppose 4327 = -25*a + 11152. Let u(v) = -v**2 + 2*v + 1. Let g be u(-2). Calculate the common denominator of -40/3 and (-575)/a + (-16)/g + -2.
39
Let d(s) = -110*s + 4. Let a be d(5). Let n = 1605307/2850 + -1289/75. Let l = a + n. Find the common denominator of 25/18 and l.
342
Suppose -x = -5*f + 2356, -4*f + 0*x = 2*x - 1896. Calculate the lowest common multiple of f and 118.
472
Let n = 3 - 2. What is the common denominator of n*2 - (-132)/(-21) and -9 + (-43 - -44) - -37*((-196)/(-48) - 4)?
84
Suppose -284*s = -4720 + 1312. Suppose m + 15 = -5*q, 3*q = -3*m + 2*m - 9. Let j = 4 - m. Calculate the lowest common multiple of s and j.
12
Suppose 5234 = -84*f + 89*f + 4*a, 2*f - 5*a = 2054. What is the smallest common multiple of 2 and f?
1042
Suppose -8*n - 126 = -15*n. What is the lowest common multiple of (165/44)/((n/(-40))/(-3)) and 15?
75
Suppose 28 = 13*r - 6*r. What is the least common multiple of 2 + (-5 - (-13)/1*r) and 49?
49
Suppose 2*w - 37069 + 37117 = 3*s, -3*w + 2*s - 17 = 0. What is the least common multiple of w and 142/7 - 4/14?
180
Let j be (51 + 0)*1/6*-49. Let f = -409 - j. Calculate the common denominator of f and 3/10.
10
Let s(p) = 3*p**3 - 14*p**2 + 46*p + 59. What is the lowest common multiple of s(7) and 2353?
9412
Let y = 37223 - 1116833/30. Calculate the common denominator of (2*6)/3 - 1397/396 and y.
180
Calculate the common denominator of 4/10 + (-6432)/11520 and -77/48.
240
Calculate the common denominator of (-2)/6*2610/(-20) and (-58 - -117)/(-2*5).
10
Let i be ((-86)/14 + 5)/(2/(-28)). Suppose -94 = -22*f + i. What is the least common multiple of f and 303?
1515
Let q = 7378 + -7348. What is the lowest common multiple of q and 1653?
16530
Suppose -5*x - 5*i + 20 = 0, -5*i + 10 = 2*x - i. Suppose 63*t - 773 = 176 + 941. Calculate the lowest common multiple of t and x.
30
Let h = -4109 - -4117. Suppose 3*c + 14 = f - 0*c, -c = 5*f - 70. What is the least common multiple of h and f?
56
Suppose 224*a - 1610 = 210*a. What is the smallest common multiple of 11 and a?
1265
Let j = 14 + -16. Let m(z) = 13*z + 28. Let c(k) = -k + 1. Calculate the smallest common multiple of c(-2) and m(j).
6
Let g = 14 - 38. Calculate the common denominator of (4/(-8))/(g/(-318)) and 4 + (10/75 - 3662/240).
8
Let i(k) = 20*k**2 - 98*k + 196. Let t = -24 + 54. What is the lowest common multiple of i(2) and t?
240
Let x = -268/369 - -10867/20664. What is the common denominator of 11/27 and x?
1512
What is the common denominator of 10/33 and (-642)/(-672) + (-4)/(48/6)?
3696
Calculate the common denominator of ((-14)/(-110))/(7/(-14)) and -1/40.
440
Let u = 6586 + -1126210/171. Let x = 309533/58440 - 12/2435. Calculate the common denominator of x and u.
1368
Suppose -4*d + 26 = -p, p + 2 + 3 = d. Suppose 39 = d*i - 3. Suppose -30 = -2*q + i. What is the smallest common multiple of 12 and q?
36
Suppose -5*v + 40 = 5*g, 5*g - 8 = 5*v + 2. Let x = 967/99 + -160/11. Find the common denominator of x and (-3 - 126/33) + v.
99
Let s be (170/5)/((-273)/(2 - 5)). Let o = s - -3903/1001. What is the common denominator of (0 + (-1)/(-4))*53 and o?
44
Let v(j) = 2*j**3 - 141*j**2 - 217*j + 432. Calculate the smallest common multiple of v(72) and 2280.
6840
Let c(d) be the third derivative of -d**4/8 - 21*d**3/2 - 4*d**2. Let h(z) = 14*z**3 - 2*z**2 + 1. Calculate the smallest common multiple of c(-24) and h(1).
117
What is the lowest common multiple of 43 and ((-230)/1610)/((-1)/42)?
258
Suppose -86 = 12*a - 722. Let v = a - 43. Suppose 0 = -4*o + 145 + 7. Calculate the least common multiple of v and o.
190
Let o(i) = 795*i - 131. Let m be o(3). Let v = -13471/6 + m. Find the common denominator of v and 29/4.
12
Let i be (-4375)/10 - ((-91)/14 - -6). Let f = 442 + i. What is the least common multiple of 159 and f?
795
Suppose 21*o - 255 = -19*o + 25*o. Calculate the least common multiple of o and 15.
255
Let x = 330 - 311. Suppose -38 = -n - 3*z, -x*z + 16*z - 6 = 0. What is the smallest common multiple of n and 8?
88
Let r = 18362/9601699 + -1834660000071/841492900360. Let g = r + -3/12520. Calculate the common denominator of g and -19/98.
196
Suppose 4*m + 4*x - 3612 = 0, 4*m + 13*x - 12*x - 3591 = 0. What is the lowest common multiple of m and 256?
1792
Let g = 5/2 - -79/10. What is the common denominator of (-2)/90*((-3471)/(-2))/(-13) and g?
30
Let g = 439727/20 + -21991. What is the common denominator of -157/630 and g?
1260
Let l be 36411/90 + (-1)/5. Let s = 405 - l. Find the common denominator of -83/30 and s.
30
Let y be 10 + 0 + -1 + (14 - 10). Let h = -9 + y. Suppose -h*w + 219 - 195 = 0. What is the smallest common multiple of 4 and w?
12
Find the common denominator of (-3)/(-576) - (-54)/(-81)*(-5)/(-4) and 65/244.
3904
Let y be -3*(0 + (12/(-9))/1). Suppose 11*w - 13*w - y = 0. What is the common denominator of 5/2 and (770/8)/(-11)*w/(-25)?
10
Let u = 37 + -26. Suppose 5*s - k = 211, 23*k = s + 20*k - 31. Let m = 54 - s. Calculate the lowest common multiple of m and u.
11
Let d(k) = -20*k**2 + 5*k + 5. Let w be d(3). Let v = 232/9 + -59/2. What is the common denominator of v and (-446)/(-40) - 96/w?
36
Let s(a) = 3*a**2 + 306*a - 1856. What is the smallest common multiple of 198 and s(6)?
792
Let s(k) = k**3 + k**2 + 440*k + 5342. Calculate the least common multiple of s(-10) and (-104)/(-2)*(-6)/(-4).
546
Let l be (-146409)/110 + (-12)/(-30). Let y = 4085 + -2754. Let s = l + y. Calculate the common denominator of -15/4 and s.
44
Let m = 7810156 + -42643451537/5460. Find the common denominator of 131/1248 and m.
43680
Let k be (-1)/11*(-1559)/6. Let o = k + -21/22. Find the common denominator of 366/20*8175/(-9810) and o.
12
Let f = -543 + 557. Suppose f = 2*m - 2*c - 4, -4*c - 24 = -m. Calculate the least common multiple of 242 and m.
484
Suppose y - 18 = -2*c, 0 = -3*c - 4*y + 20 + 7. Let h(z) = z**3 - 37*z**2 + 283*z - 118. What is the lowest common multiple of h(10) and c?
36
What is the common denominator of (162/2)/(1/(-4) + 4095/(-420)) and -1 + 1 - (-129)/123?
410
Let b = 1853603/11222140 - 3/52196. What is the common denominator of b and -133/516?
2580
Let d(q) = -q**3 - 2*q**2 + 16*q + 4. Let g be d(-5). What is the least common multiple of (-837)/(-45) - (g + 8/5) and 90?
90
Suppose -3*i = 36 - 291. Calculate the lowest common multiple of i and -1*((-1224)/(-36) - 49).
255
Let n be ((-21)/9 + 2 + -1)*-3. Suppose n*o - 2 = -i, -i - 17 = -4*o - 11. What is the smallest common multiple of 6 and o?
6
Calculate the common denominator of (13 - 17)/((-60)/(-82)) and (-2 - -5) + 3 + (-313)/42.
210
Let j = -57245/4 - -41330799/2888. Calculate the common denominator of -41/114 and j.
8664
Let y = 284499/22 + -12929. Let v = y - 147/22. Calculate the common denominator of (231/(-6))/((-2)/(-1)) and v.
44
Let c = -5 + 9. Let a = 90671/22 - 4120. Find the common denominator of a and 15/(-2)*(1096/200 - c).
110
Let s = 195143293/3659448 + -953/23458. Let o = s - 690/13. What is the common de
|
{
"pile_set_name": "DM Mathematics"
}
|
u/(-3) - 1626/9. What is j rounded to the nearest one hundred?
-200
Let f(q) = q + 11. Let j be 122/(-14) + 12/(-42). Let c be f(j). Suppose n = c*n + 830000. What is n rounded to the nearest one hundred thousand?
-800000
Let p be (-447869)/9 - 6/(-27). Let m = p - -112763. Round m to the nearest 10000.
60000
Suppose -2 + 12 = 5*t. Suppose -s - t*m + 181995 = 3*m, -m - 728001 = -4*s. Round s to the nearest ten thousand.
180000
Let n = -1270029.000017 - -1270005. Let p = n + 24. Round p to 6 decimal places.
-0.000017
Suppose 2080 = 104*y - 103*y. What is y rounded to the nearest one thousand?
2000
Suppose 0 = 5*u - v - 15003 + 56999, -u + 5*v - 8380 = 0. Round u to the nearest 1000.
-8000
Suppose 5*d + 7975 = 3*k, d + 10637 = 4*k - 2*d. Round k to the nearest 100.
2700
Let i = 0.00043 - -2.59657. Let d = i + -3.0846. Let h = d + 0.48. What is h rounded to 3 decimal places?
-0.008
Let h = 124245 - 1694245. What is h rounded to the nearest one hundred thousand?
-1600000
Let a = 323.99999722 + -324. Round a to 7 dps.
-0.0000028
Let h = -22 - -11. Let f = 10.895 + h. Let a = 0.1007 + f. Round a to 3 decimal places.
-0.004
Let o = 93 - 92.99844. Round o to four decimal places.
0.0016
Let f(i) = -44717*i**3 + 4*i**2 - 4*i + 4. Let t be f(4). Let s = -4061836 - t. What is s rounded to the nearest one million?
-1000000
Let w(v) = 766*v - 2. Let x be w(-2). Suppose -2108 = -2*z - 380. Let s = x + z. Round s to the nearest 100.
-700
Let v = -450268 + -2449732. Round v to the nearest 100000.
-2900000
Let j = 8.12 - 0.12. Let z = -7.975 + j. What is z rounded to 2 dps?
0.03
Let x = 8 + -27. Let t = x + -2. Let u = t + 21.026. Round u to two decimal places.
0.03
Suppose -2*f = -3*l + 25, 2*f - 3*l + 8*l + 49 = 0. Round f to the nearest 10.
-20
Let f = -7 - -7. Let z = f + -0.27. Let t = z - 0.05. Round t to one dp.
-0.3
Let n = -26776 - -12576. What is n rounded to the nearest 1000?
-14000
Suppose 6*h = 2*h - 74052. Let t = h - -31711. Let r be 1 + (-3)/((-6)/t). What is r rounded to the nearest 1000?
7000
Let p be (-1)/((-9)/(-135898)) + 6/(-27). Round p to the nearest one thousand.
-15000
Let h = -0.61 + 0.09. What is h rounded to 1 dp?
-0.5
Suppose 2*w + 82787 = -45213. Round w to the nearest 10000.
-60000
Let q be 6/(-2) + -99994 + -3. Round q to the nearest one hundred thousand.
-100000
Suppose -4*o - 4*h = -0*h, o - 3*h + 8 = 0. Let q = o + 4. Suppose 0*y - q*y + 168000 = 0. What is y rounded to the nearest 10000?
80000
Let u = 0.328 - 0.26. Let p = -0.067855 + u. Round p to five decimal places.
0.00015
Suppose -4*q - 10866 = 5*h, -3*h - 4286 = -3*q + 2212. Round h to the nearest one hundred.
-2200
Suppose 5*o = 4*i - 6500008, -2*o - 2*i = -3*o - 1300004. Round o to the nearest one million.
-1000000
Let u be 64802/(-9) + 2/18*2. What is u rounded to the nearest one thousand?
-7000
Suppose -z + 28772 = 4048. Suppose 5*f + 25 = 0, 4*c + 1949 - z = -5*f. What is c rounded to the nearest 1000?
6000
Suppose -5 = -t - 4. Let w be 2 - (9100000 - (-2)/t). What is w rounded to the nearest 1000000?
-9000000
Let h = -17574544 - -17574453.00041. Let w = 91 + h. Round w to four dps.
0.0004
Let v = 5.82 - -0.18. Let k = -5.976 + v. Round k to 2 dps.
0.02
Let z = 9 - 19. Let p = z + 9.81. Let c = p - -0.1900085. Round c to 6 dps.
0.000009
Let c = 10.4 + -1.4. Let o = 10.43353 - 1.43458. Let h = o - c. What is h rounded to four dps?
-0.0011
Let b = 11 - 9. Suppose w - b*h = 589990, -2*w + 4*h + 1180005 = 5*h. What is w rounded to the nearest one hundred thousand?
600000
Let u be 4090*(0 + -2 - -12). Let k = 7600 - u. What is k rounded to the nearest one thousand?
-33000
Let r = -0.3 + 0.5. Let u = 86.401 + -86.200983. Let w = u - r. Round w to five decimal places.
0.00002
Suppose -2*c + 1575975 = -5*s, -3*s + 1575995 = 2*c - 4*s. Round c to the nearest one hundred thousand.
800000
Let x(q) = -982*q - 8. Let a be x(6). What is a rounded to the nearest one thousand?
-6000
Let s = 3.5 + -13.3. Let d = 15 + s. Round d to the nearest integer.
5
Let a = -2.17 - -45.54. Let m = a - 0.37. Let u = -36.1 + m. Round u to the nearest integer.
7
Suppose 5*l + 10 + 45 = m, -3*l - 41 = m. Let f be (3 - 1)/(6/l). Let p(s) = 3*s**2 + s + 1. Let b be p(f). Round b to the nearest ten.
50
Let j = 0.15 + 0.85. Let h = 1.00001 - j. Round h to five decimal places.
0.00001
Let c(h) = -h - 14. Suppose 3*d + 55 = -4*k, -4*k - k = 2*d + 60. Let p be c(k). Let i be 3 - p/((-4)/19). Round i to the nearest 10.
-20
Let x(l) = -l - 42800. Let v be x(0). Round v to the nearest one thousand.
-43000
Let x = 0.082 + -40.082. Let p = -6475180 + 6475219.999865. Let g = x + p. What is g rounded to 5 dps?
-0.00014
Let t(p) = -169*p**2 - 7*p - 28. Let j be t(-11). Round j to the nearest one thousand.
-20000
Let n = 21921124 + -9321124. Round n to the nearest one million.
13000000
Let v = -84.99939 - -85. Round v to four dps.
0.0006
Let a = -2.81 + 2.5. Let w = 2.95 - a. Let t = -1.04 - w. What is t rounded to zero dps?
-4
Let b(f) = -f**3 - f**2 - 5*f - 2580000. Let r be b(0). Round r to the nearest 100000.
-2600000
Let o(a) be the third derivative of a**5/12 + a**4/3 - 3*a**3/2 + 2*a**2. Let h be o(-7). Round h to the nearest 100.
200
Let u = 206548538.999936 - 206555355. Let q = -6818 - u. Let c = 2 + q. Round c to 5 decimal places.
0.00006
Let d = 29 + -26. Let y be -3801 - ((-12)/d)/4. Round y to the nearest 1000.
-4000
Let w = -0.03 - -0.0254. Round w to three dps.
-0.005
Let x be 0 + 0 + 1 + 0. Let o(y) = -y**3 - 4*y**2 - 4. Let t be o(-4). Let s be 1*47500*x*t. What is s rounded to the nearest one hundred thousand?
-200000
Let d = 5.458 + -5.5. Round d to three decimal places.
-0.042
Suppose 5*t + 74655478 = 237655478. Round t to the nearest 1000000.
33000000
Let t = -53.9 - -158.7. What is t rounded to the nearest 10?
100
Let g = 12.199 + -1.254. Let i = 11 - g. Round i to two decimal places.
0.06
Let t be 1014124/6*24/16. Suppose 4*f + 58469 = -t. What is f rounded to the nearest 10000?
-80000
Let n = -0.15 - 9.85. Let r = n - -10.02. Round r to 1 decimal place.
0
Let o = -2.5998 - -2.6. Round o to 4 decimal places.
0.0002
Suppose 0*i + 67598 = 4*i - 2*q, -4*q = -5*i + 84496. What is i rounded to the nearest one thousand?
17000
Let u(l) be the first derivative of 39*l**4 + 2*l**3/3 - 5*l**2/2 + 4*l - 3. Let k be u(4). What is k rounded to the nearest one hundred thousand?
0
Let p(i) be the third derivative of 166001*i**4/24 - i**3/6 + i**2. Let a be p(1). Suppose -a = t + t. Round t to the nearest ten thousand.
-80000
Let r = -0.014 - -0.043. Let s = -0.03142 + r. What is s rounded to four decimal places?
-0.0024
Let y(n) = -1109092*n - 12. Let h = 23 + -34. Let a be y(h). Round a to the nearest one million.
12000000
Let j = -0.09 - -0.09. Let w = 1.68 - j. Round w to one decimal place.
1.7
Let y(o) = -2024*o**3 - 7677*o**3 - 1018*o**3 - 9184*o**3 - o. Let r be y(-1). Suppose 4*n + 419904 - r = 0. Round n to the nearest one hundred thousand.
-100000
Let i = 151.43 - 146. Let l = i - 0.77. Let d = -1.04 - l. Round d to the nearest integer.
-6
Let o = 760287 + -3660287. Round o to the nearest 1000000.
-3000000
Let s be -3 + (-3 - 2456) - -2. Round s to the nearest one hundred.
-2500
Suppose 5*q - 2387 = 5*k + 2008, -5*k - 4405 = 5*q. Round k to the nearest 100.
-900
Let w be 8/(-44) + 172/(-22). Let z(r) = 2*r**3 + 4*r**2 - 11*r - 10. Let b be z(w). Round b to the nearest one hundred.
-700
Let y = 233 - 230.09. Let d = y + -1.8. Round d to 1 dp.
1.1
Let d = 0.13 + -0.06. Let i = 0.01 - d. Round i to one decimal place.
-0.1
Let q = 492212.0242831 + -492212. Let s = 57.0237131 - q. Let g = s + -57. Round g to four dps.
-0.0006
Let o be (3 + -4 - 3)*1. Let b = o + 6. Let m be 2/(-9) - b/(-9). Round m to the nearest 100.
0
Let i = -1653710317.9999963 + 1653710403. Let q = i + -85. Round q to six decimal places.
0.000004
Let w = 6.6 - 6.476. Let x = -0.277 + w. Let k = 0.153081 + x. What is k rounded to five decimal places?
0.00008
Let z = 26 - 16. Let m be z*-1*24*16250. What is m rounded to the nearest 1000000?
-4000000
Let a = -118.999336 + 119. What is a rounded to four decimal places?
0.0007
Let s = -672.1 + 672.06999. Let d = s - -0.03. What is d rounded to 6 decimal places?
-0.00001
Suppose -
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{
"pile_set_name": "DM Mathematics"
}
|
, -1, 0
Let i(w) = 17*w**3 + 27*w**2 + 3*w - 7. Let l(u) = 16*u**3 + 26*u**2 + 4*u - 6. Suppose 0 = r + 3*r + 12. Let t(g) = r*l(g) + 2*i(g). What is a in t(a) = 0?
-1, 2/7
Let s be (28/(-240))/((-56)/72). Let g(r) be the first derivative of 0*r**2 - 3/25*r**5 + 0*r - 14 - s*r**4 + 2/5*r**3. Let g(w) = 0. Calculate w.
-2, 0, 1
Let a = -15833 - -15835. Find s, given that 11/7*s + 2/7 + 2*s**a = 0.
-1/2, -2/7
Factor 69/2*u - 1587/4 - 3/4*u**2.
-3*(u - 23)**2/4
Let a(t) be the third derivative of -t**6/40 + t**5/4 + t**4/8 - 5*t**3/2 - 25*t**2 - 3*t. Factor a(p).
-3*(p - 5)*(p - 1)*(p + 1)
Let f be ((-8)/12 - (-18 - -18)) + 34/33. Find k such that f - 2/11*k**2 - 2/11*k = 0.
-2, 1
Factor 0*z + 78/7*z**3 + 0 + 2/7*z**4 + 0*z**2.
2*z**3*(z + 39)/7
Let h(c) = -9*c**3 - 14*c**2 + c + 6. Let o(f) = -3*f**3 - 5*f**2 + 2. Let y = -72 - -64. Let x(l) = y*o(l) + 3*h(l). Factor x(g).
-(g - 1)*(g + 1)*(3*g + 2)
Suppose 4*t - 22 = 5*v, -t + 3*v = 6*v + 3. Let z(s) be the second derivative of 2/5*s**2 + 0 - 1/30*s**4 + 1/15*s**t + 6*s. Suppose z(g) = 0. What is g?
-1, 2
Factor 1/4*u**2 + 7/4*u - 2.
(u - 1)*(u + 8)/4
Let k(d) = d**3 - 11*d**2 + 2*d - 17. Let a be k(11). Solve -a*p**3 - 12*p**5 + 10*p**4 + 22*p**5 + 5*p**5 = 0 for p.
-1, 0, 1/3
Let s(j) = -j**3 - 8*j**2 - 6*j + 12. Let y be s(-7). What is b in -3*b**5 + 14 - 4*b**4 - 35*b + 4*b**2 + 2 + 20*b**3 - b**y + 3*b = 0?
-2, 1
Let r be (5 + -5)/(-1 + -1). Let b(u) be the third derivative of 1/120*u**6 - u**2 - 1/24*u**4 + 0*u**5 + 0 - 1/12*u**3 + r*u + 1/420*u**7. Factor b(o).
(o - 1)*(o + 1)**3/2
Let b = 21 - 1. Suppose 0 = 5*r - b - 35. Find z such that z - 4*z - 2*z**3 + 4*z**3 + r*z + 8*z**2 = 0.
-2, 0
Let r(z) be the first derivative of -z**7/4620 + z**5/660 + 2*z**3 - 4. Let j(g) be the third derivative of r(g). Find t such that j(t) = 0.
-1, 0, 1
Suppose -t = -5*s - 901, -4*s + s + 5*t - 545 = 0. Let k be 22/60 + (-24)/s. Factor 1 - 3/2*d**2 + k*d + 1/2*d**4 - 1/2*d**3.
(d - 2)*(d - 1)*(d + 1)**2/2
Let m(s) be the third derivative of 12*s**2 + 0*s**3 + 0 - 1/300*s**5 + 0*s**4 + 0*s - 1/600*s**6. Factor m(b).
-b**2*(b + 1)/5
Let h(t) be the second derivative of -8*t**6/15 + 2*t**5 + 37*t**4/4 - 187*t**3/6 - 121*t**2 - 6*t. Factor h(z).
-(z + 1)*(z + 2)*(4*z - 11)**2
Let x(k) = 11*k - 68. Let l be x(7). Let z be (-14)/(-4) + 2/((-6)/l). Find i, given that -3/4*i**5 + 1/4*i**3 + 0 - 5/4*i**4 + 5/4*i**2 + z*i = 0.
-1, -2/3, 0, 1
Let j(z) = 3*z**4 + z**3 - 2. Suppose -s + 6*s + a + 40 = 0, -a = 3*s + 26. Let v(x) = 10*x**4 + 4*x**3 - 7. Let k(t) = s*j(t) + 2*v(t). Solve k(n) = 0.
0, 1
Let h(b) be the third derivative of -b**8/3360 + b**7/1680 - 5*b**3/6 + 5*b**2. Let n(i) be the first derivative of h(i). Let n(d) = 0. Calculate d.
0, 1
Let x be -10*3/(-12) + (-639)/270. Factor 2/15*l - 4/15 + x*l**2.
2*(l - 1)*(l + 2)/15
Let x = 32375/97152 - -3/32384. Factor 0 + 1/3*p**2 + x*p**3 + 0*p.
p**2*(p + 1)/3
Let c(r) be the first derivative of -5*r**9/756 - 11*r**8/420 - r**7/30 - r**6/90 - r**3/3 - 1. Let s(z) be the third derivative of c(z). Factor s(f).
-4*f**2*(f + 1)**2*(5*f + 1)
Let q(m) be the first derivative of 4*m**6/165 + 4*m**5/33 + 17*m**4/132 + 2*m**3/33 - 17*m**2/2 + 5. Let j(w) be the second derivative of q(w). Solve j(x) = 0.
-2, -1/4
Let p(s) be the second derivative of s**4/36 + 11*s**3/36 + 5*s**2/4 - 2*s - 4. Factor p(o).
(o + 3)*(2*o + 5)/6
Suppose 2/15*z**2 - 34/5*z + 20/3 = 0. Calculate z.
1, 50
Determine y, given that -2 - 4*y**5 - 18*y**4 - 27*y - 42*y**3 - 58*y**2 + 10*y**2 - 4 - 2*y**5 + 3*y**5 = 0.
-2, -1
Let d(m) = m**5 - 18*m**4 + 40*m**3 - 38*m**2 + 11*m - 1. Let j(b) = -b**5 - b**4 + b**3 - 3*b**2 - 1. Let q(g) = -3*d(g) + 3*j(g). Factor q(r).
-3*r*(r - 1)**3*(2*r - 11)
Let w(z) = z + 8. Let g(l) = l**2 + 16*l + 92. Let j(k) = -2*g(k) + 22*w(k). Find x, given that j(x) = 0.
-4, -1
Let b(h) be the second derivative of -121*h**5/80 + 11*h**4/12 - h**3/6 - 5*h - 5. Let b(i) = 0. What is i?
0, 2/11
Let w(c) = -4*c + 1. Let s be w(-1). Suppose -b - 2 = -s. Factor 8*x - 8*x**b - 2*x**4 + 5 + 3 - 13*x**2 + 7*x**2.
-2*(x - 1)*(x + 1)*(x + 2)**2
Let s(x) be the second derivative of 2/9*x**3 + 0 + 1/18*x**4 - x**2 - 9*x. Determine t, given that s(t) = 0.
-3, 1
Let k(u) be the second derivative of -5/42*u**7 - 3/4*u**5 - 15/4*u**4 + 5/6*u**6 - 9*u + 0*u**3 + 0*u**2 + 0. What is i in k(i) = 0?
-1, 0, 3
Let k be (-212)/322*1/(-2). Let v = k - 1/23. Factor v*g**2 + 0*g + 2/7*g**3 + 0.
2*g**2*(g + 1)/7
Let w = 1/2088 - -173/2088. Let l(s) be the second derivative of 12*s + 0*s**2 - 1/24*s**4 + 0 + w*s**3. Suppose l(r) = 0. Calculate r.
0, 1
Let f be 2/2*35/5. Let c(i) = -i + 9. Let q be c(f). Suppose w**2 - 11*w**2 + 2*w**3 + w**q + 2*w**4 + 5*w**2 = 0. What is w?
-2, 0, 1
Suppose 12/5 - 28/5*p - 4/5*p**3 + 4*p**2 = 0. What is p?
1, 3
Let l be (-207)/46 - (126/(-28))/(6/8). Factor -l + s - 1/6*s**2.
-(s - 3)**2/6
Let u(v) = v**4 + v**3 - v**2 + 1. Let r(m) = 20*m**4 + 20*m**3 - 50*m**2 - 65*m - 15. Let s(d) = r(d) - 15*u(d). Let s(t) = 0. Calculate t.
-2, -1, 3
Let j(r) be the third derivative of -27*r**5/40 - 3*r**4/4 - r**3/3 + 46*r**2 + 2. Suppose j(m) = 0. Calculate m.
-2/9
Let x(g) be the third derivative of 5*g**8/504 + 2*g**7/35 - 73*g**6/180 + g**5/15 + 17*g**4/9 - 8*g**3/3 + 20*g**2 - 3*g. Find p such that x(p) = 0.
-6, -1, 2/5, 1, 2
Let x(c) be the first derivative of 13/9*c**3 - 14 + 2/3*c - 1/3*c**4 - 11/6*c**2. Factor x(r).
-(r - 2)*(r - 1)*(4*r - 1)/3
Let v(x) be the second derivative of -x**4/24 - x**3/4 + 22*x**2 - 268*x. Factor v(r).
-(r - 8)*(r + 11)/2
Let y(i) be the third derivative of i**5/300 - 113*i**4/60 + 12769*i**3/30 - 345*i**2. Factor y(u).
(u - 113)**2/5
Factor -2*w**4 + 1122 - 906 + 18*w**2 - 342*w + 120*w**2 - 10*w**3.
-2*(w - 3)**2*(w - 1)*(w + 12)
Let m(l) be the first derivative of -2/3*l**6 - 8/5*l**5 + 0*l**2 + 15 + 0*l + 0*l**3 + 0*l**4. Find x such that m(x) = 0.
-2, 0
Let z be (1239/20916)/((-1)/2*-1). Let y = z - -4/83. Suppose 1/6*u**2 - y*u**5 + 1/6*u**3 + 0 + 0*u - 1/6*u**4 = 0. What is u?
-1, 0, 1
Factor -284*i - 10*i**3 - 9*i**3 - 56 + 3*i**3 + 110*i**2 - 354*i**2.
-4*(i + 1)*(i + 14)*(4*i + 1)
Factor 8/9 - 61/9*h**3 - h**4 + 7/9*h**5 - 59/9*h**2 - 2/3*h.
(h - 4)*(h + 1)**3*(7*h - 2)/9
Factor -62*m**2 + 70*m**3 + 20*m**4 - 318*m - 2*m**4 - 656 + 692.
2*(m - 2)*(m + 3)**2*(9*m - 1)
Let -1/2 - 5*r**2 + 9/4*r**3 + 13/4*r = 0. Calculate r.
2/9, 1
Let o(s) = -s**2 + 9*s - 6. Let w be o(9). Let d be ((-17)/3 - w)/(5/3). Factor 0*a**2 - d*a + 1/5*a**3 + 0.
a*(a - 1)*(a + 1)/5
Let t(p) be the third derivative of p**5/15 + 3*p**4/2 - 20*p**3/3 + 32*p**2. Factor t(h).
4*(h - 1)*(h + 10)
Let i(k) be the third derivative of 0 - 14*k**2 + 1/12*k**5 + 0*k**4 - 5/6*k**3 + 0*k. Solve i(z) = 0 for z.
-1, 1
Factor 0 - 1/7*n**2 + 5/7*n.
-n*(n - 5)/7
Let l(h) be the third derivative of -1/672*h**8 + 19*h**2 + 0 + 1/120*h**6 - 1/420*h**7 + 1/60*h**5 - 1/48*h**4 + 0*h - 1/12*h**3. Solve l(b) = 0.
-1, 1
Let v(p) be the third derivative of p**5/20 - p**4 + 15*p**3/2 + 48*p**2. Let v(l) = 0. What is l?
3, 5
Let r(p) be the first derivative of p**5/5 + 9*p**4/4 + 28*p**3/3 + 18*p**2 + 16*p - 247. Let r(m) = 0. What is m?
-4, -2, -1
Find g such that 131*g + 40 - 309*g**2 - g - 15*g + 294*g**2 = 0.
-1/3, 8
Let u = 58929/5 - 11775. Solve -36/5*v**3 + 126/5*v + 6/5*v**5 - 12*v**2 - u + 18/5*v**4 = 0.
-3, 1
Let y(p) be the second derivative of -1/80*p**5 + 24*p + 0*p**2 + 0 + 1/48*p**4 + 1/24*p**3 - 1/120*p**6. Factor y(h).
-h*(h - 1)*(h + 1)**2/4
Let t = 19 + 13. Suppose -47*l = -55*l + t. Suppose 0*i + 3/7*i**l - 3/7*i**2 + 3/7*i**5 - 3/7*i**3 + 0 = 0. What is i?
-1, 0, 1
Let t(h) be the first derivative of -64/3*h**3 + 18*h - 13 - 21/2*h**2 + 22/5*h**5 + 1/2*h**4 - 5/6*h**6. Determine b, given that t(b) = 0.
-1, 2/5, 3
Suppose -m + 0 + 13 = 0. Suppose -a - 5 = 2*v, -m = -3*a + 5*v - 4*v. Let 16/9*i + 8/9 + 2/9*i**a + 10/9*i**2 = 0. Calculate i.
-2, -1
Let o = 27 + -19. Suppose -o = -3*z - z. Factor -7*d - 3*d - 6*d**z + 13*d + 5*d**2.
-d*(d - 3)
Suppose 2*y - 4 = 4*r, -842*y = -r - 839*y - 6. Factor 0 + 0*f**2 + f**3 + r*f**4 - 1/2*f - 1/2*f**5.
-f*(f - 1)**2*(f + 1)**2/2
Let r be 2686/(-3) + (-4)/6. Let c be r/147 + 6 + (-2)/(-3). Suppose c + 2/7*a**2 + 6/7*a = 0. Ca
|
{
"pile_set_name": "DM Mathematics"
}
|
-3, 3, 12, 2, -4 in descending order.
12, 3, 2, -3, -4
Sort -4756, -5, -1 in ascending order.
-4756, -5, -1
Put -3, 4, -2, -5 in ascending order.
-5, -3, -2, 4
Sort -0.81, 1/2, -2 in descending order.
1/2, -0.81, -2
Sort -3, 0, -135, 5, 2.
-135, -3, 0, 2, 5
Sort 3, 39, -6 in ascending order.
-6, 3, 39
Put -5, 3, -38, 4 in increasing order.
-38, -5, 3, 4
Sort 7/2, 0.1, 60, -2.5 in increasing order.
-2.5, 0.1, 7/2, 60
Put -24, -4, -2, 4 in ascending order.
-24, -4, -2, 4
Put -3/8, 29, 3 in decreasing order.
29, 3, -3/8
Put -0.2, -125, 3/5, -2/17 in descending order.
3/5, -2/17, -0.2, -125
Sort -4, 2, -3, 3, 84 in decreasing order.
84, 3, 2, -3, -4
Sort -1/6, 1/3, -9, -3 in descending order.
1/3, -1/6, -3, -9
Sort 6, 1/7, 4/7 in decreasing order.
6, 4/7, 1/7
Put 1, 3, 67, -2 in decreasing order.
67, 3, 1, -2
Sort -1, 48, -4, -10.
-10, -4, -1, 48
Put 131, 4, -3 in decreasing order.
131, 4, -3
Sort 5, -3, 58, 4 in descending order.
58, 5, 4, -3
Sort 14, -0.2, 4/11, 13.
-0.2, 4/11, 13, 14
Sort -0.05, -0.03, -0.2, 3 in decreasing order.
3, -0.03, -0.05, -0.2
Sort -0.5, 0.2, -1.19 in decreasing order.
0.2, -0.5, -1.19
Put -4/7, -8, -1/12 in ascending order.
-8, -4/7, -1/12
Sort -23, -3, -5, 5, -4 in ascending order.
-23, -5, -4, -3, 5
Sort -17, 2, -3, -4, -1.
-17, -4, -3, -1, 2
Put 3/8, 0.059, 2 in ascending order.
0.059, 3/8, 2
Put -5, 41, 3, -3 in increasing order.
-5, -3, 3, 41
Sort -3, 0, 378, -5 in descending order.
378, 0, -3, -5
Put -23, 2, -5, -4 in descending order.
2, -4, -5, -23
Sort 2/13, -2, 3 in ascending order.
-2, 2/13, 3
Sort 0.14, 0.08, 3.
0.08, 0.14, 3
Sort -5, 13, 2/13, -0.2, -31 in increasing order.
-31, -5, -0.2, 2/13, 13
Sort 4, 7, 16 in increasing order.
4, 7, 16
Sort 0.4, 0.5, -3/8 in descending order.
0.5, 0.4, -3/8
Put 2/15, 0.2, 104, 5 in decreasing order.
104, 5, 0.2, 2/15
Put 2, -1, 8 in increasing order.
-1, 2, 8
Put 16, -5, 5, 1 in decreasing order.
16, 5, 1, -5
Put 12/17, -2, -0.6, 0.2 in ascending order.
-2, -0.6, 0.2, 12/17
Sort 0.6, 4, 5, 1.3, -2/5 in decreasing order.
5, 4, 1.3, 0.6, -2/5
Sort -3, 284, -2, 5, 3 in ascending order.
-3, -2, 3, 5, 284
Put -74, 0, 2 in decreasing order.
2, 0, -74
Sort -5, -1, 3, 8, -4.
-5, -4, -1, 3, 8
Put -14, 0.5, -3, -0.1 in ascending order.
-14, -3, -0.1, 0.5
Put -5, -7, 3, 5 in descending order.
5, 3, -5, -7
Put -4, 49, 0 in descending order.
49, 0, -4
Put 2/7, 4, 12 in ascending order.
2/7, 4, 12
Sort 1/8, -0.4, -2/45 in decreasing order.
1/8, -2/45, -0.4
Put 8, -6, 1 in ascending order.
-6, 1, 8
Put 2/3, 0.5, 0.01 in descending order.
2/3, 0.5, 0.01
Put 2/23, -4, 0.5 in descending order.
0.5, 2/23, -4
Put -15, 0.5, -2/13, -2, 3/5 in decreasing order.
3/5, 0.5, -2/13, -2, -15
Put 0, 5, 15 in decreasing order.
15, 5, 0
Put 21, -0.5, -2/5, -3 in decreasing order.
21, -2/5, -0.5, -3
Put -1, -3, -5102, 2 in descending order.
2, -1, -3, -5102
Sort 1, 9, 5 in decreasing order.
9, 5, 1
Put -1, -121, 1, -0.3, 4/5 in ascending order.
-121, -1, -0.3, 4/5, 1
Sort 0, -0.09, -0.4 in ascending order.
-0.4, -0.09, 0
Put -5/4, 2/7, -1/3, 1 in ascending order.
-5/4, -1/3, 2/7, 1
Put -5, 2, -147 in ascending order.
-147, -5, 2
Sort 91, 94, -2.
-2, 91, 94
Sort 5, 1/12, 0 in ascending order.
0, 1/12, 5
Sort -3, 0.7, -7, 0.5 in increasing order.
-7, -3, 0.5, 0.7
Put -3/4, 3, -7, 4, 0.3 in ascending order.
-7, -3/4, 0.3, 3, 4
Sort 1.79, 2, 2/5, -5, 0.3 in increasing order.
-5, 0.3, 2/5, 1.79, 2
Put 0, 2, 4, -1 in descending order.
4, 2, 0, -1
Put -3/5, 3, 80 in ascending order.
-3/5, 3, 80
Put -2/9, -1, 181, 5 in increasing order.
-1, -2/9, 5, 181
Sort 0, 85, -2 in descending order.
85, 0, -2
Sort -1, -13, -10, 5.
-13, -10, -1, 5
Sort -5, -22, -4, 5 in decreasing order.
5, -4, -5, -22
Put -574, -5, 1 in ascending order.
-574, -5, 1
Sort -5, -17, -8, 3 in decreasing order.
3, -5, -8, -17
Sort -67, 0.1, 2/21, 1/4 in increasing order.
-67, 2/21, 0.1, 1/4
Put -4, 0, -21, 3 in descending order.
3, 0, -4, -21
Put 3/5, -95/3, 2, -0.3 in decreasing order.
2, 3/5, -0.3, -95/3
Put 3/4, 1/53, 4 in ascending order.
1/53, 3/4, 4
Sort -0.3, -3, -4 in descending order.
-0.3, -3, -4
Put -2/7, 0.1, 19, 2/15, -0.1 in ascending order.
-2/7, -0.1, 0.1, 2/15, 19
Put 0, -370, 5 in decreasing order.
5, 0, -370
Sort -0.5, 9, 1 in descending order.
9, 1, -0.5
Sort 0.3, -0.2, -247 in descending order.
0.3, -0.2, -247
Put -5, 0.4, -0.017 in increasing order.
-5, -0.017, 0.4
Put 0, 1/9, -0.4, -0.2 in decreasing order.
1/9, 0, -0.2, -0.4
Put 15, 1, -10, -2 in decreasing order.
15, 1, -2, -10
Sort -0.2, 10, 0.07, -11.
-11, -0.2, 0.07, 10
Sort 2, -56, -4 in decreasing order.
2, -4, -56
Put -1.1, -4/5, 41 in decreasing order.
41, -4/5, -1.1
Put -154, 2, -2, -3 in decreasing order.
2, -2, -3, -154
Sort 3, 1/3, 4, 2.
1/3, 2, 3, 4
Sort -2, -3, 6, 2.
-3, -2, 2, 6
Put -37, 1, 4 in decreasing order.
4, 1, -37
Sort 6, -11, 3, -3 in decreasing order.
6, 3, -3, -11
Sort -1, -72, -18 in decreasing order.
-1, -18, -72
Sort 10, 76, -4 in decreasing order.
76, 10, -4
Sort 13, 7, -7, 5 in ascending order.
-7, 5, 7, 13
Sort 16, 2, -11, 3, -3 in increasing order.
-11, -3, 2, 3, 16
Put 4, -14, -7 in ascending order.
-14, -7, 4
Sort 2, 0, 5, 16.
0, 2, 5, 16
Put -4, -28, -5 in descending order.
-4, -5, -28
Sort -1, 0, -21, -14 in ascending order.
-21, -14, -1, 0
Put 213, -2, -3, 0 in increasing order.
-3, -2, 0, 213
Put -2, -6837, -3/7 in descending order.
-3/7, -2, -6837
Put 0.3, -11.7, -1 in decreasing order.
0.3, -1, -11.7
Sort 3, -38/15, -13 in decreasing order.
3, -38/15, -13
Sort 4, -1/3, 0, -0.2 in descending order.
4, 0, -0.2, -1/3
Put -4, -3, -5, -6, 3 in increasing order.
-6, -5, -4, -3, 3
Sort 10, 6/7, -0.1 in decreasing order.
10, 6/7, -0.1
Sort 2/211, 0.3, 2.
2/211, 0.3, 2
Sort 1, -1.4, -5, 0.4, 1/2.
-5, -1.4, 0.4, 1/2, 1
Sort -2, -49, -36.
-49, -36, -2
Sort 5, 36, -12 in decreasing order.
36, 5, -12
Put -2/9, 1, -2/17, 5, 0.1 in ascending order.
-2/9, -2/17, 0.1, 1, 5
Sort -69, -6, 4, 2/9, -5 in ascending order.
-69, -6, -5, 2/9, 4
Sort 5, 3, 1/11, 1, -2 in increasing order.
-2, 1/11, 1, 3, 5
Put -28, -25, -4 in descending order.
-4, -25, -28
Sort -3, -0.3, 9/7 in decreasing order.
9/7, -0.3, -3
Sort -1, -7, 9 in descending order.
9, -1, -7
Sort -233, 0, 4, -2 in decreasing order.
4, 0, -2, -233
Put 1/2, 3/8, -0.4, -4 in decreasing order.
1/2, 3/8, -0.4, -4
Put -4, -123, -2 in increasing order.
-123, -4, -2
Sort -3, -1, -8/433 in descending order.
-8/433, -1, -3
Put -0.3, -5/2, -19, 4 in increasing order.
-19, -5/2, -0.3, 4
Put 2, -24, -1/12 in descending order.
2, -1/12, -24
Put 3, -5, 1, -19 in increasing order.
-19, -5, 1, 3
Sort 4, 6/7, 13/33, -5 in descending order.
4, 6/7, 13/33, -5
Put 8.5, 5, 0.1 in decreasing order.
8.5, 5, 0.1
Sort 27, 4, -7 in decreasing order.
27, 4, -7
Sort 0.4, 1/12, -12, 0.2.
-12, 1/12, 0.2, 0.4
Sort 64, 3, 5, -3 in descending order.
64, 5, 3, -3
Put -54, -7, 2 in decreasing order.
2, -7, -54
Put 4, 0.4, 7, 24 in increasing order.
0.4, 4, 7, 24
Sort -1, 3, -24, 1.
-24, -1, 1, 3
Sort 1/5, -31, 1/8, -5, 2/31.
-31, -5, 2/31, 1/8, 1/5
Put -12, 1, -7 in increasing order.
-12, -7, 1
Put 4, 5, -90 in decreasing order.
5, 4, -90
Put -6, 30, 2 in descending order.
30, 2, -6
Put 13, -0.2, 0.2 in descending order.
13, 0.2, -0.2
Sort 2, 190, -3, 5, 0 in decreasing order.
190, 5, 2, 0, -3
Sort 973, -3, -2 in descending order.
973, -2, -3
Put 44, -5, 1 in decreasing order.
44, 1, -5
Sort -3, 0, 2, 3, -1.
-3, -1, 0, 2, 3
Sort -0.5, 3/13, -3, -4/3, -0.2 in descending order.
3/13, -0.2, -0.5, -4/3, -3
Sort -44/25, 0, -1 in increasing order.
-44/25, -1, 0
Put -0.6, 22, 0, -8 in ascending order.
-8, -0.6, 0, 22
Put -5, -9/49, -0.4 in descending order.
-9/49, -0.4, -5
Sort -2, -1.5, -0.3 in descending order.
-0.3, -1.5, -2
Put -4, -10, -5, -3 in ascending order.
-10, -5, -4, -3
Sort 3, 4, 1, 5, 1061 in decreasing order.
1061, 5, 4, 3, 1
Put -1, 0.08, -0.12, 0.4, 5 in decreasing order.
5, 0.4, 0.08, -0.12, -1
Put -4, 5, 13 in descending order.
13, 5, -4
Sort -1/2, 0, 0.5, 7/2 in increasing order.
-1/2, 0, 0.5, 7/2
Put -5, 4, 1, -4, -96 in increasing order.
-96, -5, -4, 1, 4
Put 4, -1, 2, 5 in increasing order.
-1, 2, 4, 5
Sort -1/5, 0, -9, 6/7, 1/3 in descending order.
6/7, 1/3, 0, -1/5, -9
Sort 2, 5, -9, -13.
-13, -9, 2
|
{
"pile_set_name": "DM Mathematics"
}
|
-4*p + 6*m + 10. Suppose 5*q + b = -p*q + 110, 110 = 5*q + 4*b. Let d be 25 - (0 - -2) - 1. Do q and d have the same value?
True
Let h(a) = 3*a**2 + 17*a - 147. Let u be h(5). Which is smaller: u or -31?
-31
Let v(a) = -2*a**3 - 5*a**2 - 208*a + 878. Let q be v(4). Which is bigger: q or -2112/13?
q
Let m = 9 - 44. Let o = m - -90. Let h = o - 58. Do 15 and h have different values?
True
Let h = -8 + 7. Let s = h - -3. Let j = 2/2629 - -5244/18403. Which is smaller: s or j?
j
Let a be (-32)/66 - (-2 - (-16)/12). Let d(f) = 12*f - 12. Let p be d(5). Let y be 3/2 - 40/p. Which is greater: y or a?
y
Let k(q) = 5*q + 0 + 2 - q - q. Let t be k(0). Let s be 6 - -1*(-8)/t. Which is greater: s or 9/7?
s
Let t be (2 - (-8)/(-14))/4. Suppose -5*u - 3*a - a + 8 = 0, 4*a + 8 = -u. Suppose 79*v + u = 75*v. Which is bigger: t or v?
t
Let t be (-18)/(-99) + 108/132. Which is bigger: 2959 or t?
2959
Let y = -1401 + 960. Which is smaller: y or 0?
y
Suppose -5*u - 75 = 3*s, -127 = 5*s + u - 2. Let f be (7 + (-40)/(-16))*-2 - 3. Which is bigger: f or s?
f
Suppose 31*q - 1074 = 1024 - 2036. Let o(j) = -6*j**3 - 2*j**2 - 4. Let h be o(3). Is h >= q?
False
Let c(n) = -2*n**3 - 2*n**2 + 3*n + 7. Let r be c(-3). Suppose a = -2*u + 10, 5*a + 0*u + 6 = 4*u. Let i be ((56/6)/a)/((-2)/(-15)). Is r bigger than i?
False
Let n = 837 - 615. Let l be (-2)/(-3)*-3 + 4. Suppose -l*i + 5*i = n. Which is bigger: i or 73?
i
Let s be 20/3*(-12948)/415. Let l be (-288)/s*((-8)/(-6) - 1). Is 0 greater than l?
False
Suppose 11*a + 14*a = 16*a. Let p be (-3)/6*2/366. Which is greater: p or a?
a
Let o be 4/(-10) - (-356)/(-10). Let m(s) = -s**3 + 10*s**2 - 13*s + 94. Let a be m(10). Are o and a equal?
True
Let j = 75 - 76. Let q(n) = 4*n**2 + n + 2. Let l be q(j). Suppose -2*t - 11 = -l. Are t and -8/3 nonequal?
True
Let o = 1215 - 1030. Which is greater: 0 or o?
o
Let d(b) = -2*b**2 - 13*b - 52. Suppose 0 = 7*c + 17*c + 288. Let r be d(c). Is r greater than or equal to -184?
True
Let a = -3826 - -3519. Do a and -311 have different values?
True
Let u = -7941 - -39709/5. Which is smaller: u or -717?
-717
Let f be (-7450)/(-33444) + (-72)/(-81)*(-17)/68. Is f bigger than -1?
True
Let i = -7318951/59297 - -1/8471. Is -123 bigger than i?
True
Let n(d) = 7*d**2 + d + 22. Let i be n(7). Suppose -i = -21*u + 24*u. Let h = u - -114. Which is smaller: h or -12?
-12
Let u = -25.1 + 44.8. Let z = 119.7 - u. Let c = z - 99.88. Do c and 3 have the same value?
False
Let u(p) = p**3 + 8*p**2 + 16*p. Let i be u(-4). Suppose i = -2*o + 7*o + 7*o. Is 2/207 bigger than o?
True
Let k = -12.7 + -240.3. Let t = k + 251. Let f = -8 + 23. Which is greater: t or f?
f
Suppose 28*k - 24*k - 536 = 0. Let h = k + -89. Suppose -10*f + 235 = h. Is 18 greater than f?
False
Suppose 63*p = 60*p + 1329. Is 445 < p?
False
Suppose -150*p - 145 + 145 = 0. Is p < 21/475?
True
Let c = 47 - 53. Let t(y) = -4*y**3 + 2*y**2 - 3*y + 5. Let n be t(2). Let f = n - -19. Are f and c unequal?
False
Suppose 484 = j - 3*g, -2*g + 4*g + 1431 = 3*j. Which is bigger: -2 or j?
j
Suppose -2*g - 2*y = 4, -5*g - y = 7 - 1. Let m be (-2)/((-2)/(-57)) + (-12 - -13). Let x = 169/3 + m. Which is bigger: x or g?
x
Let j be 2 + -1 + -3 + 48/8. Suppose -z = 0, 0*p - p - 138 = j*z. Is -139 > p?
False
Let o be 3/((-2)/(-5)*6/(-20)). Do o and -273/11 have the same value?
False
Let n(p) = -28*p + 3144. Let m be n(92). Is 569 smaller than m?
False
Let d = -0.14777 - 0.18367. Is d <= -1?
False
Let k = -8144 + 8163.129. Let w = k - 0.129. Which is smaller: w or 2/5?
2/5
Let i = 3265 + -3265. Is -1/25 at most as big as i?
True
Let s = -123/35 - -39/5. Let k = 66 - 64. Let r be (((-50)/15)/(-5))/(k/15). Are r and s equal?
False
Let s = 9042 + -9950. Do -906 and s have different values?
True
Let o be 30*((-864)/(-45))/(-8). Which is greater: -65 or o?
-65
Let r = -19 - -4. Let h = -6 - r. Let j = -2150 + 2147. Which is smaller: j or h?
j
Suppose -5*x - 4*z + 792 - 832 = 0, -23 = 2*x + 3*z. Is x > -364/89?
True
Suppose y = 6, 6*l = 5*l + 5*y - 308. Is l bigger than -3045/11?
False
Let h be -11 + -1934 - (15 + -19). Is -1943 greater than or equal to h?
False
Let j be ((-370)/70 - -5)*(-4)/(-5888). Which is greater: j or 0?
0
Let r = -4664 - -4666. Is r > 140/67?
False
Let d = 0.76 + -10.96. Let f = -10.3 + 0. Let w = f - d. Which is greater: -6.3 or w?
w
Let n = -48759/194 + -210/97. Is n smaller than -255?
False
Suppose 4*a = -29*t - 166, -106*a + 107*a + 4*t + 22 = 0. Let n = 13 + -9. Let j be (n/(-10))/(4/(-5)). Which is greater: j or a?
a
Let z(a) = -190*a + 406. Let c be z(2). Which is greater: c or 2/5?
c
Let o = -32301 - -18616. Let k = -492565/36 - o. Let t = 26/9 - k. Is t greater than or equal to -12?
True
Let d = 421753/155 - 2721. Let l be (-14)/(-6)*(-46)/(-310). Let i = l + d. Is 16 < i?
False
Let h = 6346 + -5328. Is 1022 at least h?
True
Let y = 773.094 - 773. Is y >= 4?
False
Let o(n) = -n**2 - 3*n + 10. Let g be o(3). Let s be -1 + 0 - (g - -12). Let r be -14 + 10 - (s - 0). Is -0.11 smaller than r?
True
Suppose 29 - 239 = 6*h. Let f = -30 - h. Suppose 2*i + 2*b - 26 = -2*b, f*i - 54 = b. Is 11 not equal to i?
False
Let m = -41/231 + 4/21. Let u(j) = 4*j**2 - 98*j + 49. Let s be u(24). Which is greater: m or s?
s
Let l = 20607/31 - 557851973/839201. Which is smaller: 0 or l?
0
Suppose -x + 2220 = -16*f - 70, 5*f + 25 = 0. Which is greater: x or 2208?
x
Let i = 6257608/2211 + -269992/67. Let o = 3596/3 + i. Is 0 smaller than o?
False
Let a be (-12)/(-3) + (0 - -1). Let n be a/14*56/(-70). Suppose 3 = 2*k + 1. Which is smaller: k or n?
n
Let o(z) = 3*z - 28. Let u be o(-14). Let w = -20 - u. Is 50 smaller than w?
False
Let p be (20/25)/(616/(-220)). Are p and -911 equal?
False
Let q(j) = -3*j**2 - 7*j + 3. Let b be q(-6). Suppose -4*a - 286 = -2*w, 3*a + w - 7460 = -7642. Which is bigger: b or a?
b
Let w = 7.8 + -7.21. Let t = 1.13 - w. Let o = -0.7 + t. Is o smaller than -0.2?
False
Let r be (-1)/82*-2*11. Let u be 801730/(-40590) + 10 + 10. Let o = u - r. Which is greater: o or -0.2?
o
Let v = -45.377 + 45.3. Is v at most as big as 2?
True
Let q = -43.1355 - -43. Let h = q - -11.1955. Let w = h - 11. Which is smaller: w or 1/2?
w
Let j = -25843 + 25964.955. Let p = -122 + j. Let s = -2.045 - p. Is 2/9 < s?
False
Let j be (2/(-4) - 0)*2. Let d be 1*j + 60/50. Let f(x) = x**2 + 199*x + 1345. Let y be f(-7). Is d at most y?
True
Let z(t) = -t**2 - 15*t - 3. Let d(s) = s**2 - 9*s + 1. Let j be d(8). Let a be z(j). Suppose 43 = -6*f - a. Are 0.2 and f equal?
False
Let k be (-1*(-1472)/180)/((-13)/130). Which is smaller: -83 or k?
-83
Let w = 140 + -149. Let f be (32/(-30) + 1)*(-15)/w. Let c = -1 + 2. Is f at least as big as c?
False
Let s = 25.6 - -9.4. Let l = -35.009 + s. Which is greater: l or -2/5?
l
Let t = 6057 + -6206. Is t > 3.3?
False
Let k be (-19)/(-7) - (2 + 1). Let m be -5 + -4*(-10)/8*1. Suppose m = -16*q - 11*q. Which is bigger: q or k?
q
Suppose -2*r + 5*r - 5*a = -15, 0 = r - 2*a + 6. Let n = -9 + 11. Let t be (-24)/(-132) - n/22. Which is greater: r or t?
t
Let x = -5109 + 5122. Is -16 at least as big as x?
False
Suppose 0 = 181*u + 5108 - 434 + 2023. Which is smaller: u or -11.3?
u
Suppose -4*o = 12, 0 = 5*f + 2*o - 3181 - 1513. Which is smaller: f or 955?
f
Suppose 65437 = -306*k + 1789. Suppose 0 = 3*h - 2*i + 620, -i - 8 = 3*i. Is h <= k?
True
Let s = -15178 - -14507. Are s and -671 equal?
True
Suppose -9889*k + 4453 = -9816*k. Suppose 164 = 3*q + 4*o, 5*q - 3*o + 4*o - 296 = 0. Is k < q?
False
Let m = -25345 - -25344. Which is bigger: -1106 or m?
m
Suppose 0 = -3*t - i + 3*i + 147, i + 144 = 3*t. Let k be (40/14)/((-1102)/(-3857)) + 37. Is t greater than or equal to k?
True
Let g(v) = v**3 - 11*v**2 + 12*v + 15. Let d be g(11). Let n = 148 - d. Which is smaller: -2/147 or n?
-2/147
Let n be (-4)/16*((-9)/1512*-753 + -5). Which is smaller: n or 1?
n
Let i(u) = 13*u - 22. Let b(t) = -2*t - 3. Let y(a) = -4*b(a) - i(a). Let c be y(7). Is c greater than or equal to -1/170?
False
Let z be ((75/105)/5)/((-12)/(-14)). Let d be 4/(-6) - (-2)/(-12). Let r = d + z. Is -8 < r?
True
Let l be (-14)/(-7)*((-220)/64 + -1). Let z = 75/8 + l. Do z and -118 have different values?
True
Let b = 0.2 - -0.8. Let p = 5 + -137. Let n = 151 + p.
|
{
"pile_set_name": "DM Mathematics"
}
|
345, 1764, 2133, 2434, 2649?
2760
What is the next term in -456, -933, -1394, -1833, -2244, -2621?
-2958
What is next in -693, 1035, 7641, 21567, 45255, 81147, 131685, 199311?
286467
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121237
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-8535
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7223
What is the next term in 4585, 8332, 12079, 15826, 19573?
23320
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-161710
What is next in 3858, 2660, 1462, 264?
-934
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23351
What is the next term in 13508, 26559, 39158, 51305?
63000
What comes next: -220786, -220809, -220828, -220843, -220854, -220861?
-220864
What comes next: -6997, 1515, 10025, 18533, 27039?
35543
What is the next term in -45599, -364912, -1231667, -2919596, -5702431?
-9853904
What comes next: -2822, -12593, -28876, -51671, -80978, -116797?
-159128
What is the next term in -9802, -19534, -29262, -38986, -48706?
-58422
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102840495
What is the next term in -180129, -1440762, -4862499, -11525892, -22511493?
-38899854
What comes next: 287, 2497, 6179, 11333, 17959, 26057, 35627?
46669
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23223
What comes next: -3452, -11854, -22292, -31850, -37612, -36662, -26084?
-2962
What is next in 165040, 164820, 164454, 163942?
163284
What is next in -4965, -39595, -133621, -316743, -618661?
-1069075
What is next in -110045, -220138, -330275, -440456, -550681?
-660950
What is the next term in -52996, -52939, -52882, -52825, -52768, -52711?
-52654
What is next in -49, 264, 1147, 2894, 5799, 10156, 16259, 24402?
34879
What is the next term in -812298, -1624641, -2436988, -3249339, -4061694, -4874053?
-5686416
What is the next term in 74205, 73481, 72275, 70587?
68417
What is next in 9929, 82535, 280491, 666473, 1303157, 2253219?
3579335
What is next in -204252416, -204252414, -204252412, -204252410, -204252408, -204252406?
-204252404
What is next in -5010, -9787, -14564, -19341, -24118, -28895?
-33672
What is the next term in 3519, 5928, 8349, 10788, 13251?
15744
What comes next: -10457, -9676, -8897, -8120?
-7345
What is next in 837723, 1675453, 2513183, 3350913, 4188643, 5026373?
5864103
What comes next: 432, -24, -2258, -7158, -15612, -28508, -46734, -71178?
-102728
What comes next: 1566717, 6266847, 14100397, 25067367, 39167757?
56401567
What is the next term in -271060657, -271060656, -271060655?
-271060654
What is the next term in 1553, 6325, 14319, 25535, 39973?
57633
What is the next term in 162321, 162316, 162309, 162300, 162289?
162276
What comes next: 11842, 10068, 7114, 2980, -2334, -8828, -16502?
-25356
What is next in -69539377, -139078763, -208618151, -278157541, -347696933, -417236327?
-486775723
What is the next term in -200491, -200459, -200397, -200293, -200135, -199911?
-199609
What is the next term in -496840, -993621, -1490404, -1987189, -2483976, -2980765?
-3477556
What is the next term in 465885, 931796, 1397707, 1863618?
2329529
What comes next: 1065338, 1065324, 1065312, 1065302?
1065294
What is next in -1457, -6206, -10955, -15704, -20453, -25202?
-29951
What comes next: 402182, 804285, 1206388, 1608491, 2010594, 2412697?
2814800
What is next in 4087, 9813, 15539, 21265, 26991, 32717?
38443
What is next in 675, 2622, 5445, 8802, 12351, 15750, 18657, 20730?
21627
What comes next: 48912, 48764, 48618, 48474, 48332, 48192?
48054
What is the next term in -200248112, -200248114, -200248116, -200248118, -200248120, -200248122?
-200248124
What comes next: -579977, -1159817, -1739661, -2319509, -2899361, -3479217, -4059077?
-4638941
What is the next term in 28210, 28166, 28098, 28006, 27890?
27750
What is next in -1820460, -1820451, -1820442?
-1820433
What comes next: 177438, 177493, 177588, 177717, 177874?
178053
What is the next term in 38522, 39717, 40912, 42107, 43302, 44497?
45692
What comes next: -46169, -92264, -138359, -184454?
-230549
What is next in -6199, -6850, -8611, -12034, -17671, -26074, -37795?
-53386
What comes next: 1136378, 1136405, 1136454, 1136531, 1136642?
1136793
What is the next term in -16202, -31589, -46976, -62363?
-77750
What is the next term in 2238, 5166, 8196, 11328?
14562
What is next in 2305005, 2305148, 2305291, 2305434, 2305577?
2305720
What comes next: 76924, 153811, 230694, 307573?
384448
What is the next term in 4702190, 9404378, 14106564, 18808748, 23510930, 28213110, 32915288?
37617464
What is the next term in 900, 4685, 11036, 19953?
31436
What is the next term in -210607, -842662, -1896165, -3371116, -5267515, -7585362?
-10324657
What comes next: 526, 2526, 6570, 13234, 23094, 36726, 54706?
77610
What comes next: 752254365, 752254367, 752254369, 752254371, 752254373?
752254375
What is the next term in 1428, 2378, 5108, 10506, 19460, 32858, 51588?
76538
What comes next: 57624155, 57624153, 57624151?
57624149
What comes next: 207454, 829841, 1867160, 3319411, 5186594, 7468709, 10165756?
13277735
What comes next: 7516, 14917, 22194, 29347, 36376, 43281, 50062?
56719
What is the next term in -2114, -1618, -1130, -644, -154, 346, 862, 1400?
1966
What comes next: -490, -864, -1090, -1174, -1122?
-940
What is the next term in -91853060, -91853059, -91853058, -91853057?
-91853056
What is the next term in -10687312, -21374626, -32061940, -42749254, -53436568, -64123882?
-74811196
What comes next: 14108, 16792, 19476, 22160, 24844, 27528?
30212
What is next in -33977522, -33977531, -33977540, -33977549, -33977558, -33977567?
-33977576
What is next in 414249, 828498, 1242747?
1656996
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151630086
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39987887
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-10446
What is next in 1191913, 1191674, 1191435, 1191196, 1190957, 1190718?
1190479
What comes next: 51200, 102393, 153592, 204797, 256008, 307225, 358448?
409677
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-877792
What is next in -1857848, -1857859, -1857894, -1857965, -1858084, -1858263, -1858514?
-1858849
What is next in 19172, 36835, 54496, 72155, 89812, 107467, 125120?
142771
What is next in 57, -21544, -43147, -64752, -86359, -107968?
-129579
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139120
What comes next: 1227357, 2454707, 3682059, 4909413, 6136769, 7364127?
8591487
What is the next term in -95748, -97285, -99846, -103431, -108040?
-113673
What is next in 169, 797, 2489, 5773, 11177, 19229, 30457, 45389?
64553
What is the next term in -28265, -56591, -85051, -113723, -142685, -172015, -201791, -232091?
-262993
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194432
What is the next term in -200, -606, -1244, -2162, -3408?
-5030
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-1099332
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440079
What comes next: -12948896, -25897822, -38846748, -51795674, -64744600?
-77693526
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113974
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82578
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-98039090
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-224788
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39672
What is next in 184676, 184565, 184454?
184343
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-161774
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75850
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29069
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93176
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4647
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3976
What is the next term in -93056503, -186113004, -279169505, -372226006?
-465282507
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-264064
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12037
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-2972
What is the next term in 220684, 441541, 662394, 883243, 1104088?
1324929
What comes
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 2
Simplify sqrt(147)*6 - ((sqrt(3) + -2)**2 + -5) - (-6*(sqrt(144) + sqrt(36)))/((-2*sqrt(96))/sqrt(8)).
-2 + 37*sqrt(3)
Simplify (3 + 5*sqrt(28)/sqrt(4)*-4*-2)**2.
240*sqrt(7) + 11209
Simplify (-1*(sqrt(405)*6)/((sqrt(81)*-2 + sqrt(81))/sqrt(9)))**2*1.
1620
Simplify -5*-6*(4*sqrt(720)*-4 - sqrt(720)).
-6120*sqrt(5)
Simplify -2*(sqrt(147) + sqrt(147)*4 + sqrt(147))**2 + -4 + sqrt(147) + (2*sqrt(147))**2.
-10000 + 7*sqrt(3)
Simplify 2*(sqrt(192) - (sqrt(192) + -1)) + -5*2*sqrt(192) + -3 + (sqrt(192) + sqrt(192) + 3)**2 + 3.
16*sqrt(3) + 779
Simplify (((-4*sqrt(231))/sqrt(11))/((-1*sqrt(7) - sqrt(7))*1))**2.
12
Simplify (sqrt(2662)*-1)/sqrt(2) + sqrt(1584) + (sqrt(1584)*2 + -4 + sqrt(1584))**2 + sqrt(1584) + sqrt(1584).
-263*sqrt(11) + 14272
Simplify 0 + (sqrt(176) + 3)*-3 + (-3*sqrt(176) + sqrt(176))*-4 + 0.
-9 + 20*sqrt(11)
Simplify ((6*sqrt(208)/sqrt(4) - (sqrt(143) + (sqrt(143) - ((sqrt(143)*-1*-6 - sqrt(143)) + sqrt(143) + sqrt(143))))/sqrt(11))*-5)**2.
93925
Simplify 1*(-3*sqrt(171)*1)/(sqrt(729)*1).
-sqrt(19)/3
Simplify (3*(sqrt(110) + (sqrt(110) - (sqrt(110) - sqrt(110)*2)) - sqrt(110)))/(sqrt(490) + sqrt(490)*2)*-4.
-8*sqrt(11)/7
Simplify (-4*sqrt(63)*-1)**2 + 5*(6*sqrt(35))/sqrt(5).
30*sqrt(7) + 1008
Simplify (-3 + sqrt(175) + 2 + (sqrt(175) - ((sqrt(175) - (sqrt(175) + 2*sqrt(175) + -2)) + sqrt(175))))**2*2.
-180*sqrt(7) + 3168
Simplify (sqrt(3) - sqrt(3)*-1)*4*3 + (-1*sqrt(9))/sqrt(3)*2.
22*sqrt(3)
Simplify 1*(-3*sqrt(304))**2 + (1 + sqrt(304) + 1)**2 + 0.
16*sqrt(19) + 3044
Simplify (-3*2*sqrt(78)*-3)/(4*((sqrt(216) - (sqrt(216) + 1*sqrt(216) + sqrt(216) + sqrt(216))) + sqrt(216) + sqrt(216)) + sqrt(216)).
-sqrt(13)
Simplify (5*((sqrt(2156) - (sqrt(2156) - (sqrt(2156) - (2 + sqrt(2156))))) + sqrt(2156) + 2*sqrt(44)*4))**2.
-3000*sqrt(11) + 247600
Simplify -5 + (sqrt(19) - (sqrt(19) + -1)) + -1 + 1 + (sqrt(1539) - (sqrt(1539) + (2*sqrt(1539))**2)).
-6160
Simplify ((3*sqrt(2736) + sqrt(2736))**2 - (1 + sqrt(684))) + -1 + -2.
-6*sqrt(19) + 43772
Simplify -1 + -5 + sqrt(1584)*4 + -4 + 2.
-8 + 48*sqrt(11)
Simplify -1*-2*(sqrt(250)/sqrt(5) - (2*sqrt(162))**2)*-6.
-60*sqrt(2) + 7776
Simplify -4*6*(sqrt(243) - (sqrt(243)*3 + 1) - 3*sqrt(243)*1).
24 + 1080*sqrt(3)
Simplify ((sqrt(2200) - sqrt(2200)*2) + sqrt(792) + (sqrt(792) - sqrt(792)*-1))/(sqrt(72) + -3*1*sqrt(72)).
-2*sqrt(11)/3
Simplify 3*(sqrt(70) + -1*sqrt(70)*-2)/(5*sqrt(360)).
3*sqrt(7)/10
Simplify -5 + (-1*(sqrt(5) + sqrt(5)*-1) - 3*(sqrt(320))**2).
-965
Simplify (((5*-2*sqrt(119) - sqrt(119)) + sqrt(119))/(sqrt(42)/(sqrt(24)/sqrt(4))))**2*3*5.
25500
Simplify (-2*sqrt(800))/(sqrt(90)/(sqrt(9)*-6)) + -2.
-2 + 48*sqrt(5)
Simplify (sqrt(475) + -3 + -2 - sqrt(475))**2 - (-4 + ((-2*sqrt(228))/sqrt(12) - sqrt(19) - sqrt(19))).
4*sqrt(19) + 29
Simplify -4*(-4 + (sqrt(28)*1 - (sqrt(63) - sqrt(1575))/sqrt(9))**2).
-992
Simplify 0 + 4 + ((sqrt(39)*1*-4)/sqrt(3)*6)**2.
7492
Simplify 3*sqrt(13)*6 + sqrt(13) + sqrt(5200)/sqrt(4) + 3.
3 + 29*sqrt(13)
Simplify (-3*(sqrt(20) + sqrt(40)/sqrt(2)*-1 + sqrt(20)))/(6*sqrt(20)/sqrt(2)*3).
-sqrt(2)/6
Simplify (sqrt(162) + sqrt(162)*1 + -1 + sqrt(162) + sqrt(162) + sqrt(2)*-1 + -4 + (-2*sqrt(6))/sqrt(3) + sqrt(2) + 1 + 0)**2.
-272*sqrt(2) + 2328
Simplify ((2 + -5*(sqrt(125) + 1))*-4)**2.
2400*sqrt(5) + 50144
Simplify (-4*(sqrt(1300) + 4))**2 + (2*-2*sqrt(104) - sqrt(104))/sqrt(8).
1275*sqrt(13) + 21056
Simplify (sqrt(18) + (sqrt(36)/sqrt(2) + sqrt(18))*-1)/(sqrt(252)/sqrt(7) + sqrt(9)).
-sqrt(2)/3
Simplify (((sqrt(128) - sqrt(128)*-1) + -2)**2 - (-4*sqrt(224)/(sqrt(14)/sqrt(2)))**2) + -5.
-64*sqrt(2) - 1
Simplify (sqrt(171) + (sqrt(171) + 3*(sqrt(171) + ((sqrt(171)*2 - sqrt(171)) + sqrt(171) - sqrt(171))) - sqrt(171) - sqrt(171)))/(sqrt(144)*1).
3*sqrt(19)/2
Simplify ((-3 + 0 + 3*sqrt(1088))*-2)**2 + -1.
-576*sqrt(17) + 39203
Simplify (2 + (3*sqrt(3168) - sqrt(3168))/sqrt(11) + 5)**2.
336*sqrt(2) + 1201
Simplify ((-2*1*sqrt(228))/((3*sqrt(72))/sqrt(6)))**2*5.
380/9
Simplify (4*sqrt(420)/(sqrt(7) + sqrt(21)/sqrt(3)))/(-5*((2*sqrt(144) - sqrt(144))/sqrt(12) + sqrt(12))).
-sqrt(5)/5
Simplify ((sqrt(847) - (-1 + sqrt(847))) + -5 - ((sqrt(7) - (sqrt(7) + 0) - sqrt(7)) + 3)*6) + 5.
-17 + 6*sqrt(7)
Simplify (5*2*sqrt(104) - sqrt(104))/(2*sqrt(1152))*3.
9*sqrt(13)/8
Simplify -2*(sqrt(204)/(sqrt(24)/sqrt(2)) + (sqrt(68) + -1 - sqrt(68))) + -3.
-2*sqrt(17) - 1
Simplify (-4 + (-1*sqrt(117))**2)*3 + 1.
340
Simplify (-1 + sqrt(147) + -5)**2 + 2*sqrt(363)*-4.
-172*sqrt(3) + 183
Simplify ((-3*(sqrt(1176)*-1 - sqrt(1176) - sqrt(1176) - sqrt(1176)))/(sqrt(768) - (sqrt(768) + -1*sqrt(768)) - (sqrt(12) - sqrt(60)/sqrt(5))*-1))**2.
441/2
Simplify 2*(1 + sqrt(1539) + 4 + sqrt(1539)*2 + -2)**2 + -2.
324*sqrt(19) + 27718
Simplify -2*((3 + -3*-5*sqrt(76))**2 + 1).
-34220 - 360*sqrt(19)
Simplify 3*(-1*sqrt(128) - sqrt(128))**2*3 + (sqrt(128) - (-3*-1*sqrt(128) + sqrt(128)) - sqrt(128) - -2*sqrt(128)*-5)**2.
29696
Simplify (sqrt(108) + -2)**2*-4 + 2 + 2*sqrt(300).
-446 + 116*sqrt(3)
Simplify 3 + ((sqrt(425) - (-5 + 4 + sqrt(425) + sqrt(425)))*3)**2.
-90*sqrt(17) + 3837
Simplify 6*((-1*sqrt(304))**2*5 - (sqrt(304) - ((sqrt(304) + 0)*4 - sqrt(304) - sqrt(304)) - sqrt(304))**2).
1824
Simplify (((sqrt(72)*3)/sqrt(3) + sqrt(24))/(2*sqrt(16)/sqrt(2)))**2 + 1.
13
Simplify (-3*(sqrt(125) + 0))**2 + (sqrt(15)/(sqrt(12) - sqrt(3)) + (sqrt(140)/sqrt(4))/sqrt(7))**2.
1145
Simplify (-3*-3*-3*sqrt(304) - (((1 + sqrt(304))*-3 - sqrt(304)) + 1*sqrt(304)*-3))**2.
-480*sqrt(19) + 121609
Simplify 2*((sqrt(272)*-1 + -3 - (1*sqrt(272) + 0)) + -5)**2.
256*sqrt(17) + 2304
Simplify sqrt(20) + sqrt(20) + ((sqrt(20) - (sqrt(20) + 1)) + sqrt(20))**2 + 4 + (sqrt(720) - (sqrt(720) + 0))**2.
25
Simplify 1 + (2 + (sqrt(252) + (sqrt(252) - (4 + (sqrt(252) - -5*sqrt(252)) - sqrt(252))))**2)*-3.
-6857 - 432*sqrt(7)
Simplify ((5 + (sqrt(684) - sqrt(684)*1) + -3 + -3*sqrt(684) + -5)*-4)**2.
1728*sqrt(19) + 98640
Simplify (6*(sqrt(102)*1*-4 + sqrt(102))/sqrt(6) + (sqrt(153) - (0 + sqrt(153) + sqrt(153) + -1)) + 4 + sqrt(153) + 1)**2.
-216*sqrt(17) + 5544
Simplify (3*sqrt(35)*1*4)/(3*(sqrt(5) + sqrt(320))).
4*sqrt(7)/9
Simplify -4 + (2*sqrt(320) + 0)**2 - (sqrt(320) + (sqrt(320) + 0)*-2 + sqrt(320))*6.
1276
Simplify 1*(2 + ((3 + (sqrt(539) + 1 - sqrt(539)))**2 - (-3 + 2*sqrt(539))) + -3).
-14*sqrt(11) + 18
Simplify -6*sqrt(36)/(sqrt(60)/(sqrt(5) + sqrt(45))) + (sqrt(3) - sqrt(36)/(sqrt(12) + sqrt(300) + sqrt(12)) - (sqrt(27) + 0)).
-183*sqrt(3)/7
Simplify 2 + 1*(sqrt(200) + 3*sqrt(200)*2 - ((0 + sqrt(200))*3)**2).
-1798 + 70*sqrt(2)
Simplify 4*(((sqrt(1539) - sqrt(1539)*1) + 4 + -5)**2 + 4*6*(-1*sqrt(1539))**2).
147748
Simplify (-1*4*(sqrt(425)*-2 - sqrt(425))*-2*-3)**2.
2203200
Simplify (3 + (sqrt(208) + -2 + sqrt(208)*2 - (sqrt(208) + 0 + 0)))**2 + -3 + 5.
16*sqrt(13) + 835
Simplify ((sqrt(20) + sqrt(120)/(sqrt(6)*-3))/(sqrt(4) + -3*sqrt(64))*4)**2.
320/1089
Simplify sqrt(85)/(-3*(sqrt(5) + sqrt(20) + sqrt(5)))*-5 + (sqrt(17) - (4*sqrt(68)/sqrt(4) + sqrt(17)) - (sqrt(170)*3 + sqrt(170))/sqrt(10)).
-91*sqrt(17)/12
Simplify (sqrt(1008)*-2 + 1)**2 + -5 + (3 + sqrt(448))**2.
4485
Simplify (-5*3*((sqrt(1100) + (sqrt(1100) - -2*sqrt(1100)))*6 + sqrt(1100))*-5)**2.
3867187500
Simplify (sqrt(8208) + sqrt(8208)*3)/((sqrt(363) - (sqrt(363) - -1*sqrt(363) - sqrt(363))) + sqrt(363) + sqrt(363)) + -3.
-3 + 24*sqrt(19)/11
Simplify (-2*sqrt(684) + 3 + -5)*5.
-60*sqrt(19) - 10
Simplify -4*(sqrt(605) - (sqrt(605) + -3))**2 - sqrt(60)/(3*-2*sqrt(12)).
-36 + sqrt(5)/6
Simplify -2 + (-4*-1*((sqrt(117) + -1 + sqrt(117))*-3 + sqrt(117) - (sqrt(117) + -1*(sqrt(117) + -1))))**2.
-960*sqrt(13) + 46862
Simplify (3*-5*sqrt(152) + sqrt(152))/sqrt(8)*-1 + 5 + -5.
14*sqrt(19)
Simplify -1*((sqrt(175) + 4*1*sqrt(175) - (sqrt(175) + sqrt(175) + sqrt(175)*1 + -5)) + -1)**2.
-716 - 80*sqrt(7)
Simplify 2*1*sqrt(720)*-2 + (1*sqrt(720) + 3)*1.
-36*sqrt(5) + 3
Simplify ((-5 + 2 + sqrt(45) + 2)*4)**2.
-96*sqrt(5) + 736
Simplify -4*(5*(sqrt(2) + 0) - (sqrt(2) + (1*sqrt(2) + 3)**2))*-6.
-264 - 48*sqrt(2)
Simplify (-5*(0 + -2 + -3 + (sqrt(162) - (sqrt(162) + sqrt(162) + 3)))*5)**2.
90000*sqrt(2) + 141250
Simplify (sqrt(1100) + (sqrt(1100) + sqrt(1100) + -2 + sqrt(1100) - sqrt(1100)) + -4 + (sqrt(1100)*2 - sqrt(1100))*-4)**2*-5.
-5680 - 600*sqrt(11)
|
{
"pile_set_name": "DM Mathematics"
}
|
*(j - 326) prime?
True
Let i(v) = -1. Let t(o) = -o + 2. Let h(y) = -3*i(y) + t(y). Let l be h(-1). Is 21610/(30/l) + 3/(-1) prime?
False
Suppose 82*t + 75 = 107*t. Is 8 + -11 + 8310/t composite?
False
Let w(v) be the second derivative of 14*v**4/3 + v**3/6 - 5*v**2 + 2*v. Is w(-5) a prime number?
False
Let k(w) = 107*w**2 - 3*w + 26. Let t be k(12). Is t + -7*(-21)/49 prime?
True
Let b(m) = 52*m - 49. Let c be b(6). Let f be 54/9 + -2 + -2. Let q = c + f. Is q composite?
True
Let f(g) = 73*g**3 - 53*g**2 + 166*g + 38. Is f(20) prime?
False
Let k = 79716 - -91641. Is k prime?
False
Let o(k) = 310*k**2 - 58*k + 31. Is o(9) composite?
True
Let k(c) = 18*c**3 - 40*c**2 + 14*c - 155. Is k(17) composite?
True
Suppose -5*v - 2*b - 29281 = -635050, -121130 = -v + 3*b. Is v prime?
True
Suppose -3270235 = -16*q - 993611. Is q prime?
False
Let n(c) = 5*c**2 + 10*c + 1279. Is n(-31) prime?
False
Let d(y) = 396*y**2 - 1157*y - 31. Is d(-18) a composite number?
False
Let q be 17638 + 0/(-2) - (8 + -5). Let v be (5 - 4)/(1/q). Suppose -4*r + v = 5*g, -2*r + 3*g - 22034 = -7*r. Is r a prime number?
False
Let h(y) = 322*y**3 + 3*y + 691*y**3 + 9*y**2 - 300*y**3 - 4. Is h(3) composite?
True
Is (-2025309)/(-234) - (-42)/(-36) composite?
True
Let g be (-4)/(-36) - 119240/(-90). Suppose -9*r + 10*r - 5307 = -4*c, -c = 2*r - g. Is c a composite number?
False
Let w(o) = 611*o + 58. Let a(n) = -306*n - 29. Suppose -7*l + 15 = -4*l. Let s(q) = l*a(q) + 2*w(q). Is s(-7) a prime number?
False
Suppose 3*o = 4*o + 4*g + 79, -2*o - 2*g = 146. Let f = -62 - o. Suppose 324 = 3*u - f. Is u a prime number?
False
Let s = 4 - -4. Suppose 1368 + 720 = s*r. Suppose -r = -2*n + 343. Is n prime?
False
Let p(c) be the first derivative of c**2 + 2*c - 1/3*c**3 + 39 - 625/2*c**4. Is p(-1) composite?
False
Let o(v) = -12*v - 1. Let h be o(-1). Let d(i) = i**2 + 5 - h*i - i**3 - 3*i**2 + i**2. Is d(-8) composite?
False
Suppose 3784*p - 3791*p = -2468795. Is p composite?
True
Let v(u) = -6073*u - 4059. Is v(-46) composite?
False
Let m be (2/(-3))/((-2)/9). Suppose -45 = m*p + 3639. Let g = p - -4431. Is g composite?
False
Let v(j) = -40*j**2 + 4*j**3 - 18*j**3 - 81*j + 13*j**3 + 57. Is v(-41) a prime number?
True
Suppose 86*f - 288811254 = -305*f + 37*f. Is f a composite number?
False
Suppose -y = -a - 78368, 3*a - 63340 - 171758 = -3*y. Is y a composite number?
False
Suppose 21*b - 18*b = -15408. Let d be (-3)/(30/(-5))*(b - 0). Let m = d + 4121. Is m a prime number?
True
Suppose -g - 28 + 19 = 0. Let t be (-1)/3*1*g. Is ((t - 0)/(-1))/((-6)/586) composite?
False
Is (-55)/(-33) - 5449576/(-66) a composite number?
False
Let q(d) = 37*d**2 - 40*d + 301. Is q(30) a prime number?
True
Let a(b) = b**3 - 27*b**2 - 12*b - 13. Let h be a(16). Let l = 4300 - h. Is l a composite number?
False
Let y = -5297 - -9084. Is y composite?
True
Is 13449623/20 + 6/(-40) composite?
True
Let u(q) = -6*q**2 + 36*q + 3. Let s be u(6). Suppose -5475 = -s*t - d - 4*d, -4*d = t - 1818. Is t/10 + (-2 - 0) prime?
True
Let q(p) = 25*p**2 + p - 9. Let r(i) = -i - 14. Suppose -c + f = -2*f, 5*c + 33 = 4*f. Let x be r(c). Is q(x) a composite number?
True
Let z(u) = -167718*u + 2591. Is z(-2) prime?
True
Let s = -467 - -471. Suppose w = 3*w - 202. Suppose -23 = -s*g + w. Is g a prime number?
True
Let x(a) = 7*a**3 + 2*a**2 - 4*a. Let i(w) = w - 1. Let f be i(5). Let r be ((15/f)/(-3))/(1/(-4)). Is x(r) a composite number?
True
Let v(p) be the second derivative of 13/6*p**3 - 36*p - 5/4*p**4 + 0 - 5/2*p**2 + 1/10*p**5. Is v(11) a composite number?
True
Suppose 4*l - 206111 = -5*f + 112733, -5*l = 10*f - 398555. Is l a composite number?
True
Let c(q) = -2*q**2 - 6*q + 24. Let t be c(-5). Suppose -n + t*l + 3025 = 0, -10*n - 2*l - 9105 = -13*n. Is n prime?
True
Suppose -5*w + 47 = k, -k - 3*w + 0*w = -39. Suppose b - 5*n = k, -b + 4*b + n - 17 = 0. Suppose -892 = 3*x - b*x. Is x prime?
True
Let b(i) = i**2 - 7*i - 4. Suppose 4*l - 45 = -9. Let x be b(l). Is (-17)/(-7)*202 - (-6)/x prime?
True
Suppose -2*x + 8717670 = 5*m - 1313507, 0 = x - 6. Is m a prime number?
False
Is 3083532/(-16)*(-164)/123 prime?
False
Suppose 31416 = 5*z + 5*y + 6476, 5*z - 24941 = -4*y. Is z a composite number?
True
Let p be 1 - 8/((-32)/132). Suppose -31*a + p*a - 33477 = 0. Is a composite?
False
Let m(l) = -4*l**3 + 9*l**2 - 52*l - 396. Is m(-11) a composite number?
True
Let l = -330681 - -612670. Is l prime?
True
Let q(r) be the second derivative of 577*r**3/3 - 7*r**2/2 + 223*r. Is q(1) composite?
True
Suppose -4*b - 3*d = -33, -5*d - 12 = -4*b - d. Suppose -3895 = -3*c + 4*q + 1492, 0 = 3*q + b. Is c composite?
True
Let o be (-5)/(-30)*-4 + 20/(-6). Let f be ((-2)/o)/(1/78). Let g = 774 + f. Is g composite?
True
Suppose -3*h - 2*j + 0*j = 6, 4*j = -h - 12. Is 8/(-32) - ((-191745)/20 + h) a prime number?
True
Let t(r) = 214*r**2 - 11*r + 20. Is t(11) prime?
True
Suppose 0 = -z + k + 3, 3*k + 15 = -34*z + 38*z. Is (-3684050)/(-125) - z/(-10) a composite number?
False
Let a(b) = 750*b**2 + 53*b + 620. Is a(-11) a prime number?
True
Let v(a) = -183*a + 174. Let x be v(-48). Let s = -2520 + 5583. Suppose -s = 9*p - x. Is p prime?
False
Let j = -166 - -160. Is (9 + j)/21 + (-776)/(-7) a prime number?
False
Suppose 5*b = 438 + 2057. Let i = -1233 + 2099. Let n = i - b. Is n prime?
True
Let r be (-8)/10 + (-154)/70. Is 2/(-21)*r + (-15195)/(-105) composite?
True
Suppose -10620 = -0*i + 15*i. Let c = i + 6031. Is c prime?
True
Suppose -40*z + 9310644 = 21*z - 10795627. Is z a composite number?
True
Let b = -48 - -49. Is b/(28917/(-36165) - 16/(-20)) a prime number?
True
Let d(m) = 6317*m**2 + 20*m + 6. Let u(x) = -3158*x**2 - 10*x - 3. Suppose 0 = -5*p + i - 23, p - 4 = 3*i - 3. Let z(r) = p*u(r) - 2*d(r). Is z(-2) composite?
True
Suppose -93526626 = -106*m + 50*m - 58*m. Is m a prime number?
True
Let t(b) = 993*b + 32. Let m be t(4). Let r be m/(-10) - ((-48)/20 + 3). Let i = r + 724. Is i a composite number?
True
Let h(k) = 185*k**2 - 48*k + 53. Is h(-10) prime?
False
Let n be (-5)/20 - 57698/(-8). Suppose -9*s = 894 - n. Suppose i = 37 + s. Is i a composite number?
False
Let l(u) be the second derivative of 1123*u**3/3 + 4*u**2 - 20*u. Let b be l(7). Suppose b = 4*a + 2*v, 4*a - v + 6*v - 15715 = 0. Is a a composite number?
True
Let z be 0 - (-6 + -9) - 5. Suppose -15*d + z*d = 4*b - 46171, -b - 18471 = -2*d. Is d prime?
False
Let x be 0/((8/3 - 3)*-9). Suppose x = -k - 2*o, 3*k - o = -0*k + 7. Suppose 3*p = 2*a - 35, 3 + k = 5*p. Is a a prime number?
True
Let u(y) = -31*y + 5609. Let a be u(0). Let t = a + -1422. Is t a composite number?
True
Let x(n) = -528705*n - 1012. Is x(-1) prime?
False
Let a(u) = -u**3 - 14*u**2 - 14*u - 119. Is a(-22) a composite number?
True
Let t = -55 - -59. Suppose -82*h + 3355 = -79*h - 5*k, t*k = h - 1123. Is h prime?
False
Let t = -3908 - -9103. Is t a prime number?
False
Suppose -808*n + 810*n = -224. Is ((-1608)/n + (-2)/(-14))*514 a prime number?
False
Is 1*((-17 - -7) + -2 + 3038701) a prime number?
False
Let h = 174 + -172. Is (-3091)/h*6/(-3) composite?
True
Suppose 5*x + 0*x + 2 = -3*j, -24 = -2*j + 3*x. Let z(w) = 1140*w + 6. Let v be z(j). Is (-1)/(-2) - v/(-12) a composite number?
False
Let r = -38 + 42. Let n be 39/26 - 6/r. Suppose -4*g + 2*g + 398 = n. Is g prime?
True
Let o be (-3)/((-1556)/(-780) + -2). Let w = 1726 - o. Let i = -374 + w. Is i a composite number?
True
Let d(r) = 6124*r + 1739. Is d(35) prime?
False
Suppose -38699 = -27*w + 203987 + 384281. Is w prime?
False
Let q be 2/13 + (-3183)/(-13). Let n = q + -402. Is n/((5 - 2)/(-3)) prime?
True
Suppose r = -252 + 1510. Suppose -3*o + 995 = -r. Is o a composite number?
False
Let t be (-234)/(-63) - (-4)/14. Let o be -1*(-3)/t + 595992/96. Suppose p = 8*p - o. Is p composite?
False
Suppose 9*o + 1 - 109 = 0. Suppose n + 186373 = o*n. Is n prime?
True
Let j be (22 - -1)/(-2 + 3). Suppose -25*f + 1360 = -j*f. Let z = f - 181. Is z a prime number?
True
Suppose 3*g + 5*h - 1107441 = 0, -3*h + 29698 + 1446912 = 4*g. Is g a composite number?
True
Let s = 273633 - 22816. Is s composite?
True
Suppose 79*r - 105*r + 1847326 = 0. Is r prime?
False
Suppose -134956 = 1349*t - 1353*t. Is t composite?
False
Let z be (-115)/3*(-36)/(-120)*-4. Suppose -51
|
{
"pile_set_name": "DM Mathematics"
}
|
8) - sqrt(168)))/sqrt(12))/(5*(sqrt(7) - -2*sqrt(112))).
4*sqrt(2)/45
Simplify 1 + ((2*sqrt(156)*-5)/(sqrt(12) + sqrt(144)/(sqrt(60)/sqrt(5))))**2.
326
Simplify ((1*sqrt(35)*5)/sqrt(5)*-1 + -5)*-6.
30 + 30*sqrt(7)
Simplify (-6*(sqrt(102) + (sqrt(102) - (sqrt(102) + (sqrt(102) - -2*sqrt(102)))*2))/((sqrt(42)*1)/sqrt(7)))**2.
22032
Simplify ((sqrt(1080) - ((sqrt(1080) + -3*sqrt(1080))*6 - sqrt(1080)))/(4*((sqrt(10) - -2*1*sqrt(10)) + sqrt(10))))**2.
1323/16
Simplify (sqrt(1872) + -6*sqrt(1872)*2 + (sqrt(1872) - (-5 + 2*sqrt(1872))))*-3.
-15 + 432*sqrt(13)
Simplify 5 + ((sqrt(3872) + 2 + -1 + 2)*-2)**2.
1056*sqrt(2) + 15529
Simplify ((2*sqrt(192))**2 - (sqrt(363)*-2)**2)*4.
-2736
Simplify -1 + (-5 + 4 + sqrt(833) + (-1 + sqrt(833))*6 + 4)**2.
-294*sqrt(17) + 40825
Simplify ((sqrt(15) - sqrt(60)/(sqrt(12)/sqrt(3)) - (sqrt(15) - sqrt(45)/sqrt(3))*-1)/(sqrt(288)/sqrt(6) + sqrt(3) + (2*sqrt(12) - sqrt(3) - sqrt(3))))**2.
0
Simplify 2 + 4 + 2*sqrt(6)/sqrt(3) + (((sqrt(100) - -1*sqrt(100)) + sqrt(100))/sqrt(5))/sqrt(10).
6 + 5*sqrt(2)
Simplify (sqrt(126)/sqrt(2) - sqrt(70)/(sqrt(60)/sqrt(6)))*3*6.
36*sqrt(7)
Simplify (-1*sqrt(99))**2*-2 + -5 + (-3*(sqrt(55) - sqrt(220)/sqrt(4)))/(sqrt(20)*4).
-203
Simplify ((sqrt(539)*-1)**2 + 4 + (-1 + sqrt(11) - sqrt(11)))*2 - ((-2*sqrt(1100) - 5*(2*sqrt(11))**2) + 0).
20*sqrt(11) + 1304
Simplify (sqrt(16)/(1*sqrt(4)) + sqrt(4) - sqrt(4))/sqrt(2) + -3 + (sqrt(16)/(sqrt(32)/sqrt(4)) - sqrt(2)).
-3 + sqrt(2)
Simplify -4 + -1*(1 + sqrt(130)/(sqrt(10) + 1*sqrt(50)/sqrt(5) - sqrt(10)))*3.
-3*sqrt(13) - 7
Simplify -5*(sqrt(637)*2 + sqrt(637) + 3 - 1*(-1 + sqrt(637)) - (1 + sqrt(637) + 1 + 4))**2.
-3205 + 140*sqrt(13)
Simplify 5*(((sqrt(168)/sqrt(7))/sqrt(4))/sqrt(3) - sqrt(22)/(sqrt(88)/sqrt(8)*6)).
25*sqrt(2)/6
Simplify ((sqrt(117) + 2 + sqrt(117) + sqrt(117) + sqrt(117))**2 + 4 - (-5*(sqrt(117) + 1) - sqrt(117))**2)*-6*5 + 4.
3960*sqrt(13) + 70714
Simplify 2*((sqrt(143) + sqrt(143)*-2)*1)/(sqrt(275) + sqrt(275)*2).
-2*sqrt(13)/15
Simplify 3 + 2*(-3*-2*sqrt(88))/(sqrt(48)/sqrt(294)).
3 + 84*sqrt(11)
Simplify (((-3*sqrt(117) - sqrt(117))*2 + sqrt(117))/(sqrt(99)/(sqrt(55)/sqrt(5))))**2.
637
Simplify (2*1*sqrt(1375) + sqrt(1375))/(sqrt(45)/(3*sqrt(900) + sqrt(900))).
600*sqrt(11)
Simplify ((sqrt(63)/(sqrt(1089) + (1*sqrt(1089) + sqrt(1089) - sqrt(1089)) + sqrt(1089)))**2 - (((sqrt(7) - sqrt(7)*-2) + -2)**2 + (sqrt(35)*2)/sqrt(5)))*6.
-145912/363 + 60*sqrt(7)
Simplify -2*((sqrt(51)/sqrt(3))**2 + -4 - sqrt(17) - (sqrt(612)*-2 + sqrt(612))**2) + (sqrt(34)/sqrt(2) + 1)*-6*-5.
32*sqrt(17) + 1228
Simplify (2*((sqrt(12) - -2*sqrt(12)*-2) + sqrt(12))/(sqrt(196)*4))**2.
3/49
Simplify -4*(sqrt(13) + (3*sqrt(52))/sqrt(4)) - (sqrt(325) + 2)**2*-6.
104*sqrt(13) + 1974
Simplify 4 + (-5*(-2*sqrt(84) - sqrt(84)))/((sqrt(108) + (sqrt(108) - sqrt(108)*-1))/sqrt(9)).
4 + 5*sqrt(7)
Simplify (1*(sqrt(832)*1 - sqrt(832))**2 - (sqrt(832) - -3*(sqrt(832) + 0 + sqrt(832)))) + 4 + (sqrt(832) + sqrt(832) + (sqrt(832)*4 - sqrt(832)) + -3)**2.
-296*sqrt(13) + 20813
Simplify ((sqrt(70)/(sqrt(14)/sqrt(7)))/(-2*sqrt(30)/sqrt(6)))**2.
7/4
Simplify ((1 + sqrt(637) - sqrt(637))*5)**2 + (-1*(sqrt(637) + 1))**2 + (-1*(-1 + sqrt(637) + sqrt(637))**2 - (-1*sqrt(637)*3)**2).
-7619 + 42*sqrt(13)
Simplify (-5*(sqrt(152) + sqrt(152) + -1*sqrt(152)) - sqrt(152) - sqrt(152)*-2*-4)/((4*sqrt(1440))/sqrt(5)).
-7*sqrt(19)/12
Simplify (((-1 + sqrt(63))*-4)**2 - (1 + (1*sqrt(49))/sqrt(7))**2) + -2.
-98*sqrt(7) + 1014
Simplify (sqrt(112) + (-4 + sqrt(112))*-2)*5 + 0.
-20*sqrt(7) + 40
Simplify (sqrt(60)/sqrt(50)*-3)/(sqrt(54)/(sqrt(81)*6 - sqrt(9))).
-51*sqrt(5)/5
Simplify (sqrt(432) + 1 + -3 + -2*sqrt(432) + 2)**2*-2*-5.
4320
Simplify ((-2*(sqrt(510) - (4*sqrt(510) - sqrt(510))) + sqrt(510))/sqrt(10))/(sqrt(576)/(sqrt(96)/sqrt(8))).
5*sqrt(17)/4
Simplify (-3*sqrt(76) + sqrt(76) + 1 - 4*(sqrt(76) - (3 + sqrt(76))))**2.
-104*sqrt(19) + 473
Simplify (4 + (3*sqrt(80))**2)*1 + (-2 + (sqrt(80) + 1)**2 + sqrt(80) - ((sqrt(80) - (-2 + sqrt(80))**2) + 0 + sqrt(80))).
-12*sqrt(5) + 887
Simplify 0 + (sqrt(40)/(sqrt(80) - sqrt(5)))/(sqrt(32)/(sqrt(24)/sqrt(3)))*-3.
-sqrt(2)
Simplify ((-1 + sqrt(2))*2 - sqrt(40)/sqrt(5))**2 + (-1*sqrt(24)/sqrt(3))/(sqrt(324) - sqrt(36) - sqrt(4)).
-sqrt(2)/5 + 4
Simplify (0 + (sqrt(325) + 2)*-6 + -1)**2.
780*sqrt(13) + 11869
Simplify ((sqrt(960) + sqrt(60))/sqrt(10) - (sqrt(12) - sqrt(12)*-2)/sqrt(2))/(sqrt(24)/(-5*sqrt(192))) + -4.
-40*sqrt(3) - 4
Simplify (sqrt(1500) - -5*(sqrt(1500) - -2*sqrt(1500)))/(((-4*(sqrt(72)*1 + sqrt(72) + sqrt(72) + sqrt(72)) - sqrt(72)) + sqrt(72))/sqrt(6)).
-5*sqrt(5)
Simplify (-4*-4*sqrt(76))**2 + (2 + sqrt(76) + sqrt(76) + 1)**2.
24*sqrt(19) + 19769
Simplify 3 + (-5 + sqrt(76) + -1)**2*6.
-144*sqrt(19) + 675
Simplify ((-1*(sqrt(343) + -2) - (3 + sqrt(343)*2 + sqrt(343))) + 2)**2.
-56*sqrt(7) + 5489
Simplify ((sqrt(325)*1 + -4 + sqrt(325) - (3 + sqrt(325) + -2)) + 4)*-1.
-5*sqrt(13) + 1
Simplify (5*-3*(-5 + 1*(-1 + sqrt(539))))**2.
-18900*sqrt(11) + 129375
Simplify ((sqrt(45)/sqrt(3)*2)/(sqrt(432)*-4 - sqrt(432)))**2 + -2.
-359/180
Simplify ((3*(2 + sqrt(1700)) + 2)*5)**2.
12000*sqrt(17) + 384100
Simplify 3 + 6*(sqrt(125) + 2 - (2 + sqrt(5))*2).
-9 + 18*sqrt(5)
Simplify ((-6*(sqrt(252) - (sqrt(252) + sqrt(252)*-2) - sqrt(252)))/(sqrt(27)/sqrt(12) - (sqrt(144)*-1 + sqrt(9) - sqrt(9))))**2.
448/9
Simplify -2*(sqrt(272) + 1)*6 + (-4 + (-2*(sqrt(17) + 0) + sqrt(17) - sqrt(17) - -1*sqrt(272)))**2.
-64*sqrt(17) + 72
Simplify -2*(sqrt(1584) - (1*sqrt(1584)*1)**2 - ((sqrt(1584) - -3*sqrt(1584)) + -2)) + 4.
72*sqrt(11) + 3168
Simplify (sqrt(52) + -5*sqrt(260)/sqrt(5))/((sqrt(96)/sqrt(2))/sqrt(12) + sqrt(4)).
-2*sqrt(13)
Simplify -5*(-3 + (5*(sqrt(847) - (-1 + sqrt(847) - sqrt(847) - sqrt(847))) + 4*(sqrt(847) + -1))**2).
-830050 - 1540*sqrt(7)
Simplify (2*sqrt(114)*5 - -3*((sqrt(114)*-2 - sqrt(114)) + sqrt(114)))/(-2*2*sqrt(384)).
-sqrt(19)/8
Simplify 4*(sqrt(13) - 1*(sqrt(13) + -4*sqrt(13)) - (4*sqrt(117))**2)*6.
-44928 + 96*sqrt(13)
Simplify -2*(4*(-1 + -3 + (1*sqrt(44) - sqrt(44))/sqrt(4)) + 5).
22
Simplify ((sqrt(152) - sqrt(152)*-1)/sqrt(8) + -2 + sqrt(19) + 2)*3*-1.
-9*sqrt(19)
Simplify 6*(-1*(1*sqrt(1008) + 5)*6)**2.
25920*sqrt(7) + 223128
Simplify 2 + 5*(sqrt(100)/sqrt(2)*-6*5)**2 + 3.
225005
Simplify sqrt(2057) + (sqrt(2057)*1)**2 + sqrt(2057) + sqrt(272) + 3 - 2*(5 + sqrt(272)).
18*sqrt(17) + 2050
Simplify (-2*(sqrt(468) + 2 + 2*sqrt(468))*1 + -2)**2.
432*sqrt(13) + 16884
Simplify (-4 + sqrt(33)/sqrt(3) + -2 + sqrt(11) + 0 + sqrt(11) + sqrt(11) + -3*(-2 + sqrt(11))*-6)**2.
-1848*sqrt(11) + 7088
Simplify (6*(sqrt(70) - sqrt(70)*-1) - sqrt(70))/(-5*(sqrt(10) + (sqrt(10) - sqrt(90)))).
11*sqrt(7)/5
Simplify (((5*(sqrt(270)*-1 + sqrt(270) - sqrt(270)))/sqrt(6))/((-1*sqrt(729) - sqrt(729))*-2 + sqrt(729)))**2.
5/81
Simplify 5*((sqrt(468) + 1 + sqrt(468))**2 + (sqrt(65)*-3 + sqrt(65))/sqrt(5)).
110*sqrt(13) + 9365
Simplify (1*sqrt(405) - (sqrt(45) + 2*(sqrt(45) - sqrt(405))))/((sqrt(9) - ((sqrt(441)*-4 - sqrt(441) - sqrt(441)) + sqrt(441)))*-2).
-sqrt(5)/12
Simplify (-1 + (-2*sqrt(216))/(sqrt(48)*2) + 0)**2.
3*sqrt(2) + 11/2
Simplify ((sqrt(30) - (sqrt(30) + sqrt(270)))/sqrt(6) - (sqrt(5) + (2 + sqrt(5))**2*4) - (2 + sqrt(80) + (-3*1*sqrt(5) + sqrt(5))**2))*-1.
24*sqrt(5) + 58
Simplify ((sqrt(1452)*-1)/(-2*sqrt(6)*1) + -3)**2.
-33*sqrt(2) + 139/2
Simplify (2 + sqrt(125) + 0 + sqrt(125) + sqrt(125) + -3)**2 - (1*sqrt(320) + sqrt(320) + -3 + 5)**2.
-94*sqrt(5) - 158
Simplify (2 + sqrt(5) + -2 - sqrt(5))*-6 + (sqrt(5) - (1 + sqrt(80)) - sqrt(50)/(sqrt(10) + -1*sqrt(10) + sqrt(10))).
-4*sqrt(5) - 1
Simplify (-2*4*-1*sqrt(95))/(-6*sqrt(45)*3).
-4*sqrt(19)/27
Simplify ((-2*(3*sqrt(143)*3 + sqrt(143)))/(sqrt(704) - (sqrt(704) - ((sqrt(704) - (sqrt(704) - (2*2*sqrt(704) - sqrt(704)))) + sqrt(704) - sqrt(704)))))**2.
325/36
Simplify sqrt(55)/((sqrt(20)/sqrt(4) + sqrt(5))*-4)*1 - 1*(4 + sqrt(44)/sqrt(4)*4).
-33*sqrt(11)/8 - 4
Simplify 2*(5*(sqrt(405) + 1) + sqrt(405))**2*-3.
-87630 - 3240*sqrt(5)
Simplify (4*sqrt(288)*-5 + (-4 + 3*sqrt(2))*3)**2.
5544*sqrt(2) + 106866
Simplify (3 + -6*((sqrt(78)*1 + sqrt(78))*-6)/(sqrt(96)*-1))**2.
-108*sqrt(13) + 4221
Simplify (2*-3*sqrt(192) + 0)**2.
6912
Simplify (((sqrt(832) + (sqrt(832) - (sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) t (b) m (c) 2
b
Let q be (1 - -3)/(3 - 5). Let j be q/(-4) - 30/140. Let c = -0.6 + 0.2. What is the closest to j in -0.5, -3/2, c?
c
Let h = 17 + -16.8. Which is the closest to h? (a) 4 (b) -1/10 (c) -1/9
b
Let w = -3 - -2.5. Let d be (-1)/(-1*(-2)/(-14)). Suppose -d*k + 12 = -4*k. Which is the closest to 0? (a) k (b) w (c) 2/3
b
Let k(z) = -2*z + 14. Let r be k(6). Which is the closest to -2/5? (a) r (b) 0.1 (c) 0
c
Let i be (2/(-10))/((-3)/(1 - 4)). Let r be (-1 - 0) + (-22)/(-14). Which is the closest to i? (a) 1/3 (b) r (c) -3
a
Let v = -19/4 - -5. Which is the closest to 1? (a) v (b) -1/6 (c) 0.4
c
Let f = 3.6 + 0.4. What is the closest to 1 in 2/9, f, -0.4?
2/9
Let n = -6 + 10. Let w = -5 + n. Which is the closest to 1/3? (a) -0.4 (b) 1/2 (c) w
b
Let w be (-5)/((-15)/(-9))*-5. Let v(f) = f - 14. Let k be v(w). What is the closest to -1 in -0.3, 3/5, k?
-0.3
Let g(v) = v - 4. Let y be 3 + 1*(-2 - -4). Let p be g(y). Let o be 2/(1/p)*1. What is the closest to 1/3 in 0.3, o, -4?
0.3
Let j = -0.2 - -0.4. Let y = -19.1 + 19. Which is the closest to y? (a) j (b) 1/8 (c) 5
b
Let p be (0 - -1) + 12/3. Let g = 2 - 6.7. Let n = 5 + g. What is the closest to 1 in n, -2, p?
n
Let z = -73 - -72.9. Which is the nearest to z? (a) -3 (b) -0.5 (c) -5
b
Let p = 20.4 - 20. What is the closest to 1/5 in 3, p, 3/8?
3/8
Let l be (0 - -3 - 0)/((-9)/(-15)). Which is the nearest to 1? (a) -0.01 (b) l (c) -1/3
a
Let w = -2.18 - -0.18. What is the nearest to 0 in 0.3, w, -2/9?
-2/9
Suppose 3*q - 1 + 10 = v, 0 = -v - 3*q - 9. Suppose 5*z = -v - 5. What is the nearest to -2/5 in -2/9, -4, z?
-2/9
Let u be 14/(-48) - (-4)/32. Which is the closest to -0.2? (a) 0.1 (b) u (c) -4
b
Let u = 1.96 - -0.04. Let y be -1*2 - (3 - 9). What is the nearest to -2 in u, y, 0.3?
0.3
Let v = 307.6 - 262. Let g = v - 52. Let k = 6 + g. What is the nearest to -0.1 in -5, k, 0?
0
Let n = 9.87 - 9.9. What is the closest to 1 in 1, n, -1?
1
Let o = -0.511 + 0.051. Let g = 3.14 - o. Let u = g - 4. What is the nearest to -2 in 1/2, u, 0.2?
u
Let w = 0.1 + -0.1. Let j be (-2)/(-4)*30/(-9). Let i = -7 - -6. Which is the closest to i? (a) j (b) w (c) -4
a
Let u be (-142)/602 + (-4)/(-14). Let m = 4/43 + u. What is the closest to 1 in -4, -2, m?
m
Let q = 20 + -17. What is the closest to q in 1, -0.5, 3?
3
Let f = 44486 - 312629/7. Let c = -175 - f. What is the closest to -3 in 5/4, -2, c?
-2
Let o = 12.93 - 13. Let h = -0.93 + o. What is the closest to h in -3, -0.4, -3/4?
-3/4
Suppose -5*j + i = 160, -3*i + 150 = -9*j + 4*j. Let s = j + 98/3. Which is the closest to 1? (a) -0.4 (b) 0 (c) s
b
Let l = 21 - 26. Which is the closest to 0.6? (a) -0.1 (b) l (c) -2
a
Let l be 148/(-28) - 2/(-7). Let b be (120/(-27))/l + -1. Let c = 13/9 + b. What is the nearest to 0.1 in c, 4, 2/5?
2/5
Suppose -5 = -2*p + 3*w, -4 = 4*w - 0. Suppose 3*q - p - 2 = 0. Which is the closest to q? (a) -0.4 (b) 2 (c) -5
b
Let i = 0.57 - -2.43. Which is the nearest to 0.3? (a) i (b) -5 (c) -0.2
c
Let m = -0.9 + 1.3. What is the nearest to 0.2 in 0.5, 3, m?
m
Suppose 19*y = 13*y - 18. What is the closest to -7 in 5/2, y, 5?
y
Let f = -9.9 + 0.9. Let z = -14 - f. What is the nearest to -1 in 2, 0.1, z?
0.1
Let j = 14/9 + -4/3. Which is the closest to -0.1? (a) 1/8 (b) 2/13 (c) j
a
Let c = -0.8 + 0.8. What is the closest to 2 in 0.4, c, 1?
1
Let v = -2.9 - -2.95. What is the nearest to v in 1/2, -0.1, 3?
-0.1
Let v be 2 + 1 + 54/(-15). Suppose 2*g = 4*g + 2. Let x be 1 + (-2)/(-8)*-7. What is the nearest to g in v, 0, x?
x
Let s(f) = f + 8. Let y be s(-4). Let q = 1.01 - 0.91. Which is the nearest to -1? (a) 5 (b) y (c) q
c
Let n(f) = -2*f + 3. Let t be n(2). Let p = 33.17 - 28.3. Let j = p - -0.13. Which is the nearest to t? (a) j (b) -0.3 (c) -2
b
Let d = 0.01 + -3.01. Which is the closest to 0.1? (a) 0.5 (b) -1/2 (c) d
a
Let p = 1 - -9. Let u = 9 - p. Let n(y) = -y**3 + 6*y**2 - 6*y + 4. Let f be n(5). Which is the closest to u? (a) -0.4 (b) f (c) 2/7
b
Let t = -89 - -61. Let i be (24/(-18))/(t/6). Which is the nearest to i? (a) 2/7 (b) -4 (c) 1
a
Let o = -0.2 + 0. Let s = 0.1 + o. Let w = -0.1 - 4.9. What is the nearest to s in w, 2, -0.4?
-0.4
Let p = -1.6 + 1.6. Which is the closest to p? (a) -2/11 (b) -0.4 (c) 0.1
c
Suppose -l = -0*l - 4. Suppose -2*q = -5*q + 24. Let n be -2 - q*1/(-3). Which is the closest to 2? (a) l (b) n (c) 1
c
Let i be 11/(-44) + 10*5/72. Which is the closest to -1? (a) 4 (b) i (c) -4
b
Let z(q) = q + 1. Let l be z(0). Which is the nearest to -5? (a) 2 (b) 5 (c) l
c
Let s = 14 + -21. Let n = s - -6.7. Let i = n + -0.7. What is the nearest to -1 in i, -0.2, -2/15?
i
Suppose -2*j + 15 = f + 6, 10 = -5*j + 4*f. Which is the nearest to -1/2? (a) -4 (b) -5 (c) j
c
Let w be ((-4)/(-36))/((-2)/(-12)). Let l = 20.8 + -21. What is the closest to w in 2, -4/3, l?
l
Let n be (-2)/4*(-4)/13. Let l = -73.8 + 74. Which is the closest to 0? (a) l (b) -0.4 (c) n
c
Let r = -0.06 + -2.94. Let b = 8 + r. What is the closest to -1/3 in -2/11, b, -3?
-2/11
Let n = -0.14 + -0.26. Which is the nearest to 2/3? (a) n (b) 0.5 (c) 0.4
b
Let d = -1 + 1.5. Let x = -40 - -41. What is the closest to x in d, -4, 2?
d
Let v be (-3)/(-6)*(-10)/5. Let w = -7 - -11. Let k be 74/(-112) + w/14. Which is the nearest to v? (a) -2 (b) 2/5 (c) k
c
Let d = 59 + -61. What is the nearest to -1 in -1/3, d, -0.1?
-1/3
Let h be -3*1*4/(-21). Let l(j) = j**3 + 13*j**2 - 13*j + 17. Let p be l(-14). Which is the nearest to 0? (a) h (b) -0.5 (c) p
b
Let r = 3/2 + -1. What is the nearest to 4/3 in -5, -0.3, r?
r
Let g = 0.1 - 0.2. Let z = g + 0.3. Let a = -47 + 51. What is the nearest to -2/5 in z, 1, a?
z
Suppose -3*i = 2*i + 5. Which is the closest to 0? (a) i (b) -1.2 (c) -2/19
c
Let f = 4/13 - 54/91. Suppose 0*o = -o. Suppose w + 2 = -5*t + 7, -2*t - 3*w + 15 = o. Which is the closest to t? (a) f (b) 2/19 (c) -2
b
Let i be (-1)/(-10)*(-25)/(-2). What is the nearest to 0 in i, -4, 2?
i
Let h = 2.5 - 2.1. What is the nearest to h in 2, 4/5, -5?
4/5
Let s(k) = -k**3 + 2*k**2 + 2*k - 2. Let b be s(2). Let v be (4/(-5))/(6/(-15)). Let w be (b/15)/(v/(-6)). What is the nearest to w in -0.2, 0.1, -4?
-0.2
Let n = 0.2 - 0.17. Let m = 10.4 + -10.8. What is the nearest to n in 1, 0, m?
0
Let q be (-6)/(-4)*2/(-2). Let o be -2 + (243/(-12))/(-9). Which is the closest to q? (a) 3 (b) -0.1 (c) o
b
Let y = 42 - 45. Let g = 3.7 + -4. Which is the nearest to g? (a) -4 (b) y (c) -0.5
c
Let w be ((-4)/40)/((-5)/(100/(-8))). What is the closest to w in -3, 4, -0.1?
-0.1
Let k = -0.63 - -0.6. Let z = -0.23 - k. Which is the closest to 2/3? (a) z (b) 0.1 (c) 5
b
Let r = -29 + 38.2. Let m = 0.8 + r. Let k = -7 + m. Which is the nearest to -2? (a) k (b) 5 (c) 1/5
c
Let m = 0.16 + -0.16. What is the nearest to m in 0.2, -4/7, 15?
0.2
Let t(a) = a**2 - 5*a + 3. Let h be t(4). Let r = 0 - 0.1. Let f = 3.6 + -1.6. What is the nearest to r in h, -0.3, f?
-0.3
Let q = 8.24 + -0.24. What is the closest to -0.2 in q, -4, 3/7?
3/7
Let d = 6.8 - -0.2. Let w = -6.95 + d. What is the nearest to -0.1 in w, 2/11, -1?
w
Suppose -18 = -t - 4*l, -5*t = -2*l - l + 25. What is the closest to t in 0.2, -3/2, 0.4?
-3/2
Let l = -0.6 - -2.6. Let f = -12 + 62/5. Which is the nearest to -2/5? (a) f (b) l (c) -0.2
c
Let t = -17 - -13. What is the nearest to 4 in -0.4, t, -2?
-0.4
Suppose 2*h - 6 = 4*y + 122, 0 = -h + 5*y + 73. Let g = 231/4 - h. Which is the nearest to g? (a) -2 (b) 3 (c) 1
c
Let m = 119/110 + -9/10. Let x = -393 + 1563/4. Let o = x + 5/2. Which is the closest to -2? (a) m (b) -5 (c) o
a
Let f be (2*3)/((-84)/(-8)). Let j = 4 - 4.3. Which is the nearest to 1? (a) j (b) f (c) 0.2
b
Let q = 0.02 + -0.32. Let p = -46/7 - -191/28. Let x = 4/7 - 15/14. What is the closest to p in q, -3, x?
q
Let m = -3.998 + -0.002. Let q = 15 - 22. Which is the closest to -1? (a) m (b) q (c) 0
c
Let w = -3.1 - -0.1. Let a = w + 3.2. Let i = -0.42 + 0.02. What is the nearest to 0 in 1/3, i, a?
a
Let h be -4 + 6/(-9)*(1 + -13). What is the closest to -2/3 in 1, h, 0.5?
0.5
Let l = -7/9 + 1/9. Let p = -4 + 2. Which is the nearest to p? (a) -2 (b) -3 (c) l
a
Let l
|
{
"pile_set_name": "DM Mathematics"
}
|
to the nearest integer?
4
What is 42073 to the power of 1/2, to the nearest integer?
205
What is 313 to the power of 1/7, to the nearest integer?
2
What is the fourth root of 396 to the nearest integer?
4
What is 4199 to the power of 1/4, to the nearest integer?
8
What is the seventh root of 1745 to the nearest integer?
3
What is the third root of 702 to the nearest integer?
9
What is the sixth root of 4228 to the nearest integer?
4
What is the third root of 54 to the nearest integer?
4
What is the cube root of 12639 to the nearest integer?
23
What is 36 to the power of 1/3, to the nearest integer?
3
What is 17116 to the power of 1/3, to the nearest integer?
26
What is 36562 to the power of 1/10, to the nearest integer?
3
What is the fourth root of 1884 to the nearest integer?
7
What is 3518 to the power of 1/3, to the nearest integer?
15
What is the seventh root of 10418 to the nearest integer?
4
What is 16037 to the power of 1/2, to the nearest integer?
127
What is 165582 to the power of 1/3, to the nearest integer?
55
What is 85338 to the power of 1/9, to the nearest integer?
4
What is 7983 to the power of 1/10, to the nearest integer?
2
What is the seventh root of 2034 to the nearest integer?
3
What is 4127 to the power of 1/2, to the nearest integer?
64
What is the cube root of 110324 to the nearest integer?
48
What is 45 to the power of 1/2, to the nearest integer?
7
What is the cube root of 17288 to the nearest integer?
26
What is the third root of 1100 to the nearest integer?
10
What is 25353 to the power of 1/7, to the nearest integer?
4
What is 8144 to the power of 1/8, to the nearest integer?
3
What is the cube root of 55070 to the nearest integer?
38
What is 4145 to the power of 1/4, to the nearest integer?
8
What is the eighth root of 2762 to the nearest integer?
3
What is 22185 to the power of 1/7, to the nearest integer?
4
What is the third root of 559 to the nearest integer?
8
What is 1802 to the power of 1/2, to the nearest integer?
42
What is the cube root of 12049 to the nearest integer?
23
What is the ninth root of 2742 to the nearest integer?
2
What is the cube root of 3543 to the nearest integer?
15
What is the third root of 142485 to the nearest integer?
52
What is the square root of 2483 to the nearest integer?
50
What is 1395 to the power of 1/3, to the nearest integer?
11
What is 335 to the power of 1/3, to the nearest integer?
7
What is the cube root of 18423 to the nearest integer?
26
What is 779 to the power of 1/3, to the nearest integer?
9
What is 142 to the power of 1/3, to the nearest integer?
5
What is the square root of 14654 to the nearest integer?
121
What is 1075 to the power of 1/2, to the nearest integer?
33
What is the fifth root of 25503 to the nearest integer?
8
What is the cube root of 1876 to the nearest integer?
12
What is the eighth root of 62563 to the nearest integer?
4
What is 1666 to the power of 1/5, to the nearest integer?
4
What is 20221 to the power of 1/3, to the nearest integer?
27
What is 552 to the power of 1/10, to the nearest integer?
2
What is the square root of 2075 to the nearest integer?
46
What is 6536 to the power of 1/6, to the nearest integer?
4
What is 16191 to the power of 1/2, to the nearest integer?
127
What is 4650 to the power of 1/5, to the nearest integer?
5
What is the fifth root of 506 to the nearest integer?
3
What is 24771 to the power of 1/7, to the nearest integer?
4
What is the third root of 26263 to the nearest integer?
30
What is the seventh root of 167 to the nearest integer?
2
What is 42601 to the power of 1/5, to the nearest integer?
8
What is 835 to the power of 1/2, to the nearest integer?
29
What is the third root of 46287 to the nearest integer?
36
What is the cube root of 313 to the nearest integer?
7
What is the square root of 39200 to the nearest integer?
198
What is 40704 to the power of 1/2, to the nearest integer?
202
What is the square root of 8128 to the nearest integer?
90
What is 24 to the power of 1/2, to the nearest integer?
5
What is the third root of 121150 to the nearest integer?
49
What is the square root of 1453 to the nearest integer?
38
What is the square root of 62983 to the nearest integer?
251
What is the third root of 167605 to the nearest integer?
55
What is 107983 to the power of 1/8, to the nearest integer?
4
What is 37327 to the power of 1/2, to the nearest integer?
193
What is the eighth root of 9837 to the nearest integer?
3
What is 112 to the power of 1/2, to the nearest integer?
11
What is the fifth root of 1166 to the nearest integer?
4
What is 970 to the power of 1/6, to the nearest integer?
3
What is the cube root of 2524 to the nearest integer?
14
What is 1270 to the power of 1/5, to the nearest integer?
4
What is the third root of 10896 to the nearest integer?
22
What is 1698 to the power of 1/5, to the nearest integer?
4
What is the cube root of 21993 to the nearest integer?
28
What is 250 to the power of 1/3, to the nearest integer?
6
What is the ninth root of 4415 to the nearest integer?
3
What is 10998 to the power of 1/3, to the nearest integer?
22
What is the cube root of 2980 to the nearest integer?
14
What is 58363 to the power of 1/3, to the nearest integer?
39
What is the square root of 3723 to the nearest integer?
61
What is 72952 to the power of 1/2, to the nearest integer?
270
What is the third root of 37 to the nearest integer?
3
What is the tenth root of 41231 to the nearest integer?
3
What is the square root of 9250 to the nearest integer?
96
What is the cube root of 11554 to the nearest integer?
23
What is 23142 to the power of 1/2, to the nearest integer?
152
What is 37130 to the power of 1/3, to the nearest integer?
33
What is the cube root of 2159 to the nearest integer?
13
What is the fourth root of 18709 to the nearest integer?
12
What is 32215 to the power of 1/3, to the nearest integer?
32
What is 2226 to the power of 1/7, to the nearest integer?
3
What is the square root of 59150 to the nearest integer?
243
What is 452 to the power of 1/9, to the nearest integer?
2
What is the square root of 2860 to the nearest integer?
53
What is the third root of 124407 to the nearest integer?
50
What is the square root of 1307 to the nearest integer?
36
What is the eighth root of 14840 to the nearest integer?
3
What is 859 to the power of 1/2, to the nearest integer?
29
What is the square root of 12215 to the nearest integer?
111
What is the sixth root of 514 to the nearest integer?
3
What is the third root of 619 to the nearest integer?
9
What is 6763 to the power of 1/2, to the nearest integer?
82
What is the sixth root of 27621 to the nearest integer?
5
What is the tenth root of 87849 to the nearest integer?
3
What is the square root of 12836 to the nearest integer?
113
What is 104276 to the power of 1/10, to the nearest integer?
3
What is 2862 to the power of 1/10, to the nearest integer?
2
What is the third root of 32033 to the nearest integer?
32
What is the fourth root of 81283 to the nearest integer?
17
What is 25781 to the power of 1/5, to the nearest integer?
8
What is the square root of 1677 to the nearest integer?
41
What is 4605 to the power of 1/3, to the nearest integer?
17
What is the cube root of 26696 to the nearest integer?
30
What is the cube root of 749 to the nearest integer?
9
What is 62408 to the power of 1/2, to the nearest integer?
250
What is the sixth root of 1666 to the nearest integer?
3
What is 2125 to the power of 1/2, to the nearest integer?
46
What is 61889 to the power of 1/2, to the nearest integer?
249
What is the tenth root of 168 to the nearest integer?
2
What is 5330 to the power of 1/2, to the nearest integer?
73
What is 297 to the power of 1/2, to the nearest integer?
17
What is the square root of 669 to the nearest integer?
26
What is 100868 to the power of 1/4, to the nearest integer?
18
What is 10718 to the power of 1/9, to the nearest integer?
3
What is the square root of 129213 to the nearest integer?
359
What is the seventh root of 470 to the nearest integer?
2
What is the cube root of 9468 to the nearest integer?
21
What is 51911 to the power of 1/8, to the nearest integer?
4
What is the square root of 1407 to the nearest integer?
38
What is the ninth r
|
{
"pile_set_name": "DM Mathematics"
}
|
the first derivative of 893307228*w**2 + 649955298?
1786614456*w
Find the third derivative of 6414*q**4 + 328*q**3*z + 79748*q**2*z + z + 373 wrt q.
153936*q + 1968*z
What is the first derivative of -2178506*a**2 + 12*a + 272929786?
-4357012*a + 12
Find the second derivative of -69*a**5 + 714778*a**4 + 509253515*a.
-1380*a**3 + 8577336*a**2
What is the second derivative of -28421167*j**3 - 42*j + 77785?
-170527002*j
Find the third derivative of 105843622*l**6 - 10*l**2 + 4556602*l wrt l.
12701234640*l**3
Find the second derivative of 5*v**2*x*z + 5*v**2*z**3 - 204550*v**2*z - 105*v*x - 40059*v*z**3 wrt v.
10*x*z + 10*z**3 - 409100*z
What is the third derivative of 104371164*a**5 + 3*a**2 - 386778*a - 1 wrt a?
6262269840*a**2
What is the third derivative of 54909694*x**3 - 172*x**2 + 24920*x wrt x?
329458164
What is the second derivative of 278685*c**5*n**2 - 823*c**5 + 2*c*n**2 + 9*c*n - 38*n**2 + 118*n - 6 wrt c?
5573700*c**3*n**2 - 16460*c**3
Find the first derivative of -8*p**3 + 97943*p - 2716257 wrt p.
-24*p**2 + 97943
Find the second derivative of 8259717*j**4 + 2028418*j.
99116604*j**2
Find the first derivative of 1976630*o**3 + 65237952.
5929890*o**2
What is the first derivative of 16168517*a**4 - 67400101?
64674068*a**3
What is the derivative of -4783*v**3 - 94*v**2*z + 162*v*z - z - 76641086 wrt v?
-14349*v**2 - 188*v*z + 162*z
Find the first derivative of 197347180*u + 675080369.
197347180
Find the first derivative of 22512324*j**2 + 26493646 wrt j.
45024648*j
What is the third derivative of -198672431*n**3 - 340078756*n**2 wrt n?
-1192034586
What is the second derivative of -14436773*m**3 - 13590548*m?
-86620638*m
What is the first derivative of -958940*f*o - 6*f - 20*o - 201152 wrt f?
-958940*o - 6
Find the third derivative of 120952786*c**4 - 2943*c**2 + 13764*c.
2902866864*c
What is the third derivative of -s**5 + 4629*s**4 - 3748*s**3 - 2595*s**2 - 2114*s - 24?
-60*s**2 + 111096*s - 22488
Find the first derivative of -43771965*k + 185743140.
-43771965
Find the third derivative of n**3*v + 25079203*n**3 + n**2*v + 7*n**2 - n*v + 3262*n + 4*v + 1 wrt n.
6*v + 150475218
Find the first derivative of -3*f**4 + 35778*f**2 + 7*f + 13413170 wrt f.
-12*f**3 + 71556*f + 7
What is the first derivative of -18010391*y**2 - 143886545?
-36020782*y
Find the third derivative of -91629089*l**3*p**2 - 2*l**2*p**2 - 367*l**2*p - 103*l**2 - 2*p**2 + 61 wrt l.
-549774534*p**2
What is the third derivative of -3663169*g**3*y**3 + 3*g**3*y**2 - 1210365*g**2*y**3 - g**2*y - y**3 - 2*y wrt g?
-21979014*y**3 + 18*y**2
Find the second derivative of -164318437*g**2 - 7514586*g - 1.
-328636874
Find the second derivative of 2081*j**3*r - 4*j**3 + 5*j**2*r + 3*j**2 + 2*j*r - 1674930*j wrt j.
12486*j*r - 24*j + 10*r + 6
What is the second derivative of 398*i**3*t - 3*i**3 - 2*i**2*t - 593*i**2 + 2519*i*t - 5489*t wrt i?
2388*i*t - 18*i - 4*t - 1186
What is the third derivative of 1467585*q**4 + 6606738*q**2?
35222040*q
What is the third derivative of -14178258*g**6 - 13*g**3 + 3*g**2 - 13545528*g wrt g?
-1701390960*g**3 - 78
Find the first derivative of 69154*x**2 + 6*x + 24548865 wrt x.
138308*x + 6
Find the second derivative of -115*d**2*t**2 + 79*d**2*t - d**2 - 2*d*t**2 + 516*d*t - 13*d - 879*t**2 + 5*t - 2 wrt t.
-230*d**2 - 4*d - 1758
What is the first derivative of -229*j**4 - j**3 + 45*j**2 - 6*j + 294751?
-916*j**3 - 3*j**2 + 90*j - 6
Find the second derivative of -73031*p**4 + 215*p**3 + 10433*p - 536.
-876372*p**2 + 1290*p
Find the third derivative of 28242*a*b**3*n - 220838*a*b**2 + a*b*n + 18*a*n - 207*b**3*n wrt b.
169452*a*n - 1242*n
What is the second derivative of 385980*i**4 + 17*i**2 - 71316759*i?
4631760*i**2 + 34
What is the first derivative of -7128997*y - 14523530?
-7128997
Find the second derivative of -12018022*v*w**2 + 8054577*v*w - w wrt w.
-24036044*v
What is the derivative of 41*l*n**3 + 34*l*n**2*p + 5841*l*n*p + 11559*n**3 - 664*n - p wrt l?
41*n**3 + 34*n**2*p + 5841*n*p
What is the third derivative of -3108*k**4 - 275*k**3 - 23777279*k**2?
-74592*k - 1650
Find the second derivative of -153845*p**2*v**2 - 11*p**2*v + 2*p**2 + 4*p*v**2 - p*v - 599*v**2 - 2*v - 1 wrt p.
-307690*v**2 - 22*v + 4
Differentiate 43509268*k - 14783057 with respect to k.
43509268
What is the third derivative of -10807364*b**3 - 355364*b**2 - 23*b wrt b?
-64844184
What is the third derivative of 5*k**4 - 192946*k**3*t + k**3 + 3*k**2*t - k**2 + 48*k*t + 300*t - 8 wrt k?
120*k - 1157676*t + 6
What is the third derivative of -9*k**3*y + 39327302*k**3 - 1143*k**2*y - 4*k**2 - 35*k*y + 448*k wrt k?
-54*y + 235963812
What is the second derivative of -1415*z**3 + 610*z**2 - 211*z + 6151 wrt z?
-8490*z + 1220
Differentiate 6977516*f**2*p**2 - 2*p**2 - 4797951*p wrt f.
13955032*f*p**2
What is the first derivative of -11666128*l**2 + 60246904?
-23332256*l
What is the second derivative of -25*m**3 - 2540069*m**2 + 44*m - 2419284?
-150*m - 5080138
Find the third derivative of -31373661*y**4 + 2*y**3 + 2*y**2 - y - 3572268.
-752967864*y + 12
Find the second derivative of -1098087*g**2*w + 3*g**2 + 2*g*w + g - 287*w - 153 wrt g.
-2196174*w + 6
Find the second derivative of -21401371*h**3 + h**2*v + 2*h*v + 18*h + 5081*v - 12 wrt h.
-128408226*h + 2*v
What is the derivative of 31472*c**2 + 1210*c + 194000134 wrt c?
62944*c + 1210
Find the first derivative of -2*s**2*u + s**2 - 11*s*u - 6221*s - 2769858*u + 3 wrt s.
-4*s*u + 2*s - 11*u - 6221
What is the third derivative of 810131637*i**3*l + 1958*i**2*l + 5*i**2 - 65*i*l + l + 1 wrt i?
4860789822*l
What is the second derivative of 4607420*d**3*h**3 + d**3*h + 21*d**3 + 27776*d**2*h + 2*d**2 - 7*d*h**4 + 2*h wrt h?
27644520*d**3*h - 84*d*h**2
Find the second derivative of -5056*m**3 + 6*m**2 - 887870*m - 1.
-30336*m + 12
Differentiate 74*c**4 + 264281*c*f**2 - 40*f**2 + 31*f - 1139 wrt c.
296*c**3 + 264281*f**2
Find the third derivative of -295972505*w**3 - 417658995*w**2 wrt w.
-1775835030
What is the third derivative of 8925695*q**4 - q**3 + 288688072*q**2 wrt q?
214216680*q - 6
What is the second derivative of 3*g*n**2*o*w + 12392*g*n**2*o + 238*g + 17*n**2 + n*o + 26*n + 22*w wrt n?
6*g*o*w + 24784*g*o + 34
Find the third derivative of 2*w**4*z + 779095*w**3*z**2 - 27870*w**2*z**2 + 15*w*z**2 + w*z + 2*w wrt w.
48*w*z + 4674570*z**2
What is the first derivative of 82*b**3 + 44405*b**2*j - 8*b*j - 38*j + 1760687 wrt b?
246*b**2 + 88810*b*j - 8*j
Find the second derivative of -1284643*f**4*x + 2*f**3*x**2 + 21*f + 5174*x**2 - x + 9 wrt f.
-15415716*f**2*x + 12*f*x**2
Differentiate 101359867*r + 241333981 with respect to r.
101359867
Differentiate 1190860997*b - 158246114 with respect to b.
1190860997
What is the second derivative of -434849502*d**2 - 201550625*d wrt d?
-869699004
Find the third derivative of -21816*v**5 + 2763*v**4 + 18519124*v**2 wrt v.
-1308960*v**2 + 66312*v
What is the derivative of -765*i**3 + 2*i**2 + 222*i - 3818291?
-2295*i**2 + 4*i + 222
What is the derivative of 28785854*t**3 - 18842473 wrt t?
86357562*t**2
What is the first derivative of -7*p*w**2 - 24*p*w + 13253792*p + w**2 + 2362*w wrt w?
-14*p*w - 24*p + 2*w + 2362
What is the first derivative of 20541536*z**2 - 1444636 wrt z?
41083072*z
Differentiate -1160629830*r**3 + 443445312 with respect to r.
-3481889490*r**2
Find the third derivative of -3*b**2*d**3*o - 1902*b**2*o**3 + 11*b**2*o**2 + 20*b*d**3*o**3 + 2*b*d**3*o + 208*b*d*o**2 + b*d*o + 11*d**2*o - 3*d*o**2 wrt o.
-11412*b**2 + 120*b*d**3
Find the third derivative of -86632983*h**4 + 11360*h**2 - 3*h - 12 wrt h.
-2079191592*h
What is the first derivative of 12*u**2 - 10559788*u + 596245992?
24*u - 10559788
What is the third derivative of -132073585*d**3 - 75900035*d**2 wrt d?
-792441510
What is the second derivative of -4*d*s**2 + 2*d*s - 2231556*d - 24723205*s**2 - 3*s - 1 wrt s?
-8*d - 49446410
Find the third derivative of 10598992*d**3 + 25449*d**2 + d + 51.
63593952
What is the second derivative of -168615300*z**2 - 687294*z - 57 wrt z?
-337230600
What is the third derivative of -601*x**4 + 59484*x**3 - 185137372*x**2 wrt x?
-14424*x + 356904
Differentiate 4389*w**2 - 39588*w + 297835099 wrt w.
8778*w - 39588
Find the second derivative of -3*k*p**2*q - 15*k*p**2 - 2*k*p*
|
{
"pile_set_name": "DM Mathematics"
}
|
-3, 2
Determine d, given that -5*d**3 + 23285*d**2 - 26092855*d - 2389197425 = 0.
-85, 2371
Let -3*b**2 + 122025*b - 976008 = 0. Calculate b.
8, 40667
What is o in -6*o**4/5 + 70*o**3 + 2576*o**2/5 + 312*o = 0?
-6, -2/3, 0, 65
Suppose -3*f**5/2 + 2935*f**4/4 + 5403*f**3/4 - 491*f**2/2 = 0. What is f?
-2, 0, 1/6, 491
Factor b**2/8 - 701*b/8 + 5985/2.
(b - 665)*(b - 36)/8
Suppose l**4/2 + 4197*l**3/2 + 41895*l**2/2 + 104675*l/2 = 0. What is l?
-4187, -5, 0
Let 7*u**3/6 + 101*u**2/3 - 953*u/6 + 22 = 0. Calculate u.
-33, 1/7, 4
Factor 208*r**2/7 - 619*r/7 - 15/7.
(r - 3)*(208*r + 5)/7
Determine j so that -2*j**4 - 58*j**3 - 570*j**2 - 2134*j - 2420 = 0.
-11, -5, -2
Factor 2*s**2 - 164426*s + 164424.
2*(s - 82212)*(s - 1)
Determine d so that 3*d**3/4 - 135*d**2/4 + 312*d - 495 = 0.
2, 10, 33
Find l, given that -5*l**3 - 520*l**2 + 19380*l - 96480 = 0.
-134, 6, 24
Solve 47*o**4 - 378*o**3 + 533*o**2 + 918*o - 40 = 0 for o.
-1, 2/47, 4, 5
Find b such that b**3/6 + 10*b**2/3 + 127*b/6 + 42 = 0.
-9, -7, -4
Let -2*k**5 + 968*k**4/3 + 562*k**3 - 9136*k**2/3 + 424*k + 5216/3 = 0. What is k?
-4, -2/3, 1, 2, 163
Factor 2*b**3/7 - 8098*b**2/7 - 640770*b/7 - 12554334/7.
2*(b - 4127)*(b + 39)**2/7
Let -u**2 + 107126*u - 2868994969 = 0. What is u?
53563
What is y in 3*y**5/8 - 117*y**4/4 + 1005*y**3/2 + 7245*y**2/4 - 4023*y/8 - 1782 = 0?
-3, -1, 1, 33, 48
Determine u so that -787*u**3/4 + 1545*u**2/2 - 729*u - 58 = 0.
-58/787, 2
Find o, given that o**4/3 + 237968*o**3/3 + 14156478334*o**2/3 - 28315098416*o + 42473718507 = 0.
-118987, 3
Determine j so that -3*j**4 + 2406*j**3 - 462408*j**2 - 8169366*j + 28605051 = 0.
-19, 3, 409
Let -2*l**3/3 + 560*l**2/9 + 17750*l/9 = 0. Calculate l.
-25, 0, 355/3
Find z such that 4*z**4 + 48*z**3 - 1780*z**2 - 5664*z + 158400 = 0.
-25, -11, 12
Factor -2*j**4 + 30*j**3 + 4512*j**2 + 4480*j.
-2*j*(j - 56)*(j + 1)*(j + 40)
Factor -2*j**3 - 934*j**2 + 1876*j.
-2*j*(j - 2)*(j + 469)
Factor -25*h**4 - 22960*h**3 - 5230126*h**2 + 19052208*h - 17214201.
-(h + 461)**2*(5*h - 9)**2
Solve 13*x**5 + 51*x**4 + 36*x**3 = 0.
-3, -12/13, 0
Find y, given that -3*y**2 - 15981*y + 79980 = 0.
-5332, 5
What is p in -3*p**4 - 939*p**3 + 11667*p**2 - 10725*p = 0?
-325, 0, 1, 11
Determine c, given that 3*c**3 - 209*c**2 - 11518*c - 3816 = 0.
-36, -1/3, 106
Factor -2*d**5/13 + 42*d**4/13 + 44*d**3/13.
-2*d**3*(d - 22)*(d + 1)/13
Suppose -3*k**3/5 - 13686*k**2 + 3*k/5 + 13686 = 0. Calculate k.
-22810, -1, 1
Factor u**4 + 3*u**3 - 28*u**2 - 60*u.
u*(u - 5)*(u + 2)*(u + 6)
Factor -3*g**3/8 - 1773*g**2/8 + 5397*g/4 + 3582.
-3*(g - 8)*(g + 2)*(g + 597)/8
Let -6*z**5 + 7376*z**4/3 - 747232*z**3/3 - 584480*z**2 + 5758112*z/3 + 1357952/3 = 0. Calculate z.
-4, -2/9, 2, 206
Suppose -81*u**4/5 + 4941*u**3 - 2025189*u**2/5 + 64881483*u/5 - 727675542/5 = 0. What is u?
107/3, 198
Suppose -3*r**4 + 426*r**3 - 19968*r**2 + 308256*r = 0. What is r?
0, 38, 52
Find g such that 2*g**2 - 1972*g + 376586 = 0.
259, 727
Let -n**4/3 - 532*n**3/3 - 530*n**2/3 + 532*n/3 + 177 = 0. Calculate n.
-531, -1, 1
Find g, given that 2*g**4 - 346*g**3/3 + 644*g**2/9 + 2264*g/9 + 304/3 = 0.
-2/3, 2, 57
Factor -5*x**2 + 310*x - 3825.
-5*(x - 45)*(x - 17)
What is x in -2*x**3/5 - 16*x**2 - 718*x/5 + 160 = 0?
-25, -16, 1
Factor -13*n**3/10 - 82107*n**2/5 - 259284432*n/5 + 39891856/5.
-(n + 6316)**2*(13*n - 2)/10
Factor 5*z**2 - 1815*z + 5400.
5*(z - 360)*(z - 3)
Suppose j**4/4 - 2247*j**3/2 - 3372*j**2 - 6745*j/2 - 4497/4 = 0. Calculate j.
-1, 4497
Factor -2*u**3/5 + 66*u**2/5 - 108*u.
-2*u*(u - 18)*(u - 15)/5
Determine g so that 50*g**4 - 4440*g**3 + 131424*g**2 - 6483584*g/5 = 0.
0, 148/5
Let 2*l**5/7 - 18390*l**4/7 + 6043084*l**3 - 126776064*l**2/7 + 84492864*l/7 = 0. What is l?
0, 1, 2, 4596
Let 4*q**2 + 52672*q + 157980 = 0. Calculate q.
-13165, -3
Find j such that -j**2/3 - 677*j/3 + 680 = 0.
-680, 3
Find g such that 4*g**5 + 6144*g**4 + 2575672*g**3 + 166176768*g**2 + 2926160836*g = 0.
-731, -37, 0
Factor h**3 - 16317*h**2 + 32622*h + 130520.
(h - 16315)*(h - 4)*(h + 2)
Factor w**4/2 - 2081*w**3 + 2873034*w**2 - 1296138412*w - 27088709840.
(w - 1394)**3*(w + 20)/2
Solve -2*y**3 + 12444*y**2 - 49752*y + 49744 = 0 for y.
2, 6218
Determine i so that -i**3/2 - 35*i**2/2 - 9*i + 792 = 0.
-33, -8, 6
Solve -206*c**3 - 31310*c**2 + 304*c = 0.
-152, 0, 1/103
Factor -20*q**3 + 425*q**2 - 500*q.
-5*q*(q - 20)*(4*q - 5)
Factor -4*m**3 + 932*m**2 + 43648*m - 14744576.
-4*(m - 176)**2*(m + 119)
Determine i, given that -2*i**2/5 - 18*i + 1620 = 0.
-90, 45
Factor -p**3 - 5031*p**2 - 209979*p - 2200149.
-(p + 21)**2*(p + 4989)
Let 5*v**2/4 - 765*v/4 - 9135/2 = 0. What is v?
-21, 174
Determine l so that -l**3/4 + 7*l**2/2 + 2107*l/4 - 530 = 0.
-40, 1, 53
Determine w, given that -5*w**2 - 597450*w = 0.
-119490, 0
Factor -5*p**4 - 3590*p**3 - 614725*p**2 + 10775120*p.
-5*p*(p - 16)*(p + 367)**2
Factor -3*p**4/4 - 177*p**3/2 - 1695*p**2/4.
-3*p**2*(p + 5)*(p + 113)/4
Factor 3*n**3 - 1485*n**2 - 15123*n - 13635.
3*(n - 505)*(n + 1)*(n + 9)
Factor -5*g**2 + 89805*g - 179590.
-5*(g - 17959)*(g - 2)
Solve -h**2/2 + 2373*h - 5631129/2 = 0 for h.
2373
Suppose 4*m**4/17 + 5566*m**3/17 + 1940440*m**2/17 + 2898150*m/17 = 0. What is m?
-695, -3/2, 0
Factor r**2 - 303*r + 22842.
(r - 162)*(r - 141)
Factor 2*a**3/13 - 3898*a**2/13 + 1909008*a/13 - 9447840/13.
2*(a - 972)**2*(a - 5)/13
Let 4*u**3 - 26624*u**2 + 53236*u - 26616 = 0. What is u?
1, 6654
Solve 4*o**2/9 - 92024*o/3 - 276076/9 = 0 for o.
-1, 69019
Let 5895*j**2 + 88418*j/3 - 35/3 = 0. Calculate j.
-5, 7/17685
Find d, given that -16*d**5/9 + 508*d**4/3 - 8816*d**3/9 - 2492*d**2/3 = 0.
-3/4, 0, 7, 89
Suppose -4*o**4 - 296*o**3 - 2372*o**2 + 56480*o - 168000 = 0. Calculate o.
-60, -25, 4, 7
Solve 2*c**4/23 - 36*c**3/23 - 3410*c**2/23 + 10500*c/23 = 0 for c.
-35, 0, 3, 50
Factor -3*o**2 + 1890*o + 1893.
-3*(o - 631)*(o + 1)
What is a in 2*a**4/5 - 694*a**3/5 - 140*a**2 + 1392*a/5 = 0?
-2, 0, 1, 348
Factor 2*i**2 + 2751604*i + 946415571602.
2*(i + 687901)**2
Suppose -j**5 + 21*j**4 + 61*j**3 - 1721*j**2 - 8160*j - 6400 = 0. What is j?
-5, -1, 16
Determine b, given that -b**2/5 - 6069*b/5 + 1214 = 0.
-6070, 1
Factor 3*v**4 - 2532*v**3 + 330978*v**2 + 85781628*v + 3443359923.
3*(v - 491)**2*(v + 69)**2
Find u, given that 3*u**5/5 + 207*u**4/5 - 243*u**3 - 1563*u**2 - 3168*u/5 + 11988/5 = 0.
-74, -3, -2, 1, 9
Let 44*x**2 + 2412*x + 6840 = 0. What is x?
-570/11, -3
Factor 4*b**2/3 - 31444*b/3 + 31432.
4*(b - 7858)*(b - 3)/3
Factor w**2/4 - 379*w/4 + 1710.
(w - 360)*(w - 19)/4
Let f**4 - 164*f**3 + 321*f**2 + 486*f = 0. Calculate f.
-1, 0, 3, 162
Suppose -5*l**5 + 220*l**4 + 5935*l**3 + 29130*l**2 + 40320*l = 0. What is l?
-14, -3, 0, 64
Factor -d**3/9 + 328*d**2/9 + 1661*d/9 + 148.
-(d - 333)*(d + 1)*(d + 4)/9
Factor 2*b**2/17 + 5336*b/17 + 126912/17.
2*(b + 24)*(b + 2644)/17
Factor -q**5/3 + 20*q**4 - 162*q**3 + 468*q**2 - 459*q.
-q*(q - 51)*(q - 3)**3/3
Find y, given that 4*y**3/3 + 2140*y**2/3 + 89316*y + 3263004 = 0.
-373, -81
Determine r, given that 4*r**4 - 7700*r**3 - 61804*r**2 - 100492*r - 46392 = 0.
-6, -1, 1933
Let o**4 - 2270*o**3 - 6819*o**2 - 4*o + 9092 = 0. Calculate o.
-2, 1, 2273
Determine v, given that -20*v**3 + 13392*v**2 - 2239140*v - 897800 = 0.
-2/5, 335
Factor -5*l**3 - 8245*l**2 + 66205*l - 124275.
-5*(l - 5)*(l - 3)*(l + 1657)
Find h such that 2*h**4 + 812*h**3 + 74786*h**2 - 1549296*h + 7280928 = 0.
-212, 9
Factor 24178*z**2 + 13774*z - 24.
2*(7*z + 4)*(1727*z - 3)
Determine l, given that -3*l**5 - 166311*l**4 - 2305361457*l**3 - 11523148701*l**2 - 6912093240*l + 20740769712 = 0.
-27716, -3, 1
Determine b so that -b**2/5 + 5837*b/5 - 2334 = 0.
2, 5835
Let -2*y**4 + 134*y**3 - 2106*y**2 - 4622*y - 2380 = 0. What is y?
-1, 34, 35
Determine a, given that -31271*a**3/3 - 2*a**2/3 = 0.
-2/31271, 0
Factor q**4 - 15*q**3 + 13*q**2 + 15*q - 14.
(q - 14)*(q - 1)**2*(q + 1)
What is t in 2*t**2/7 - 21226*t = 0?
0, 74291
What is n in 2*n**2/9 + 3338*n/9 + 74620/3 = 0?
-1599, -70
Factor -2*b**4/7 + 154*b**3 + 9810*b**2/7 + 29538*b/7 + 29592/7.
-2*(b - 548)*(b + 3)**3/7
Solve -t**3 - 102*t**2 - 1217*t + 1320 = 0.
-88, -15, 1
Factor 3*z**2/2 + 525*z/2 + 9801.
3*(z + 54)*(z + 121)/2
Factor -4*g**3/3 - 806120*g**2/3 + 3224528*g/3 - 1074848.
-4*(g - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
Which is the second smallest value? (a) 1 (b) 0.211 (c) 1051/124
a
Which is the third smallest value? (a) -687 (b) 0.6 (c) -0.15 (d) 2/9 (e) 1 (f) -0.4
c
What is the smallest value in 1/6, 1/53, -5, -17, -14?
-17
What is the smallest value in 6.2, 24, -315, 0.2?
-315
What is the third smallest value in -31.3, 2, 5, 2/15, -0.3, -2, -1?
-1
What is the third biggest value in 4/3, 1830, 8?
4/3
What is the second smallest value in 4, -0.55, -939, -1/4, 23?
-0.55
What is the second biggest value in 2, -1256, 0.074, 0?
0.074
Which is the fourth smallest value? (a) 5/4 (b) 5/16 (c) -3 (d) 11.244
d
Which is the fifth smallest value? (a) -4.3 (b) 4 (c) 15 (d) -2/41 (e) -2 (f) -9
b
What is the third smallest value in 6/13, 0.362, 5, 0.3, 902?
6/13
What is the biggest value in 863, -0.259298, 0.5?
863
Which is the third smallest value? (a) -18 (b) -585873 (c) -4
c
Which is the third biggest value? (a) -0.5 (b) 0.7 (c) 4 (d) -8 (e) -0.07 (f) -139
e
Which is the smallest value? (a) -0.2 (b) 1/4 (c) 2/2365 (d) -58
d
What is the third biggest value in 408, 0.4, -4221?
-4221
Which is the fourth smallest value? (a) -30.1 (b) -0.4 (c) 4 (d) -28.54 (e) 0.04
e
Which is the second biggest value? (a) 4973 (b) 5 (c) -18.2 (d) -1
b
Which is the second smallest value? (a) -3/373709 (b) -0.2 (c) 4 (d) 0
a
What is the biggest value in -0.24, 2, 123677?
123677
Which is the smallest value? (a) -2/11 (b) 5 (c) 0.19 (d) -3 (e) -15/29 (f) 1/3 (g) 0.8
d
Which is the fifth smallest value? (a) -13.93 (b) 126 (c) 0.5 (d) -4 (e) -0.2
b
Which is the third smallest value? (a) 8751 (b) 36 (c) 0.07
a
Which is the third biggest value? (a) -5/21 (b) 165 (c) 76.4 (d) 5
d
What is the third biggest value in -3, 28, -0.5, 6.2, -8, 0.335?
0.335
Which is the third smallest value? (a) 31/10 (b) -0.4 (c) -490
a
Which is the fourth smallest value? (a) -1/3 (b) -4/385 (c) -8/3 (d) 0 (e) 0.5 (f) 0.3 (g) 0.031
d
Which is the second smallest value? (a) -288 (b) 18.27 (c) -0.2
c
Which is the second smallest value? (a) 0.08 (b) 3805 (c) 2/1035
a
What is the smallest value in 9, -2, 3, -1838151?
-1838151
What is the biggest value in 1/7, -0.084, -14, 144, 88/5?
144
What is the fourth biggest value in 0.3, -1/33, 0.4, 3, 1/2, -5/33?
0.3
Which is the third biggest value? (a) 4 (b) -0.339 (c) -40 (d) -13 (e) -0.1 (f) 0.8 (g) -5
e
What is the fifth biggest value in -2, -3, 20/11, 1, -31, 0?
-3
What is the smallest value in 1, 11/2, 158/3, -6/877?
-6/877
Which is the second smallest value? (a) 46 (b) -2 (c) -5 (d) 0 (e) 2/5 (f) 0.1827
b
What is the second smallest value in 1821, -0.3, 780?
780
Which is the seventh biggest value? (a) 0 (b) -2/3 (c) -13/3 (d) -10 (e) -0.145 (f) 1 (g) 0.5
d
What is the second smallest value in -208/7, 13/3, -1875, -1?
-208/7
What is the fourth smallest value in -1.6, 0.3, -0.4, -9561, -7?
-0.4
Which is the third biggest value? (a) 5 (b) 1/79 (c) -83 (d) -70 (e) -0.1 (f) -0.3 (g) 3/7
b
Which is the fourth smallest value? (a) 0.05 (b) -0.3 (c) -227 (d) 2/13 (e) 0.3 (f) -1.7
a
Which is the second smallest value? (a) 65 (b) -11 (c) 0.048 (d) -1/3 (e) -4/5 (f) 344
e
Which is the second biggest value? (a) 35536930 (b) 0 (c) -0.2
b
Which is the third biggest value? (a) -2.479 (b) 11 (c) -0.026
a
Which is the third smallest value? (a) 61 (b) 3/4085 (c) -0.5 (d) -1/3
b
What is the biggest value in -1/12792, -7, 0.5, -76/7?
0.5
What is the fourth biggest value in 21, 0.06, -3/7, 4, 0, -2, 3.75?
0.06
What is the sixth smallest value in -11, 6, -16, 3, 2.5, -4?
6
Which is the seventh biggest value? (a) 11 (b) -13 (c) -1/3 (d) -0.7 (e) -0.2 (f) -6 (g) -3
b
Which is the biggest value? (a) 1/4 (b) 20/177 (c) 7/384 (d) -9
a
Which is the third smallest value? (a) -3/5 (b) -5 (c) 4 (d) -1/4 (e) -2 (f) -1922 (g) 18/7
e
What is the biggest value in -2/13, 0.06, -764, -48?
0.06
Which is the second smallest value? (a) -37 (b) 0.5 (c) 2 (d) -7 (e) -28 (f) -2/21
e
Which is the sixth smallest value? (a) 13 (b) 0.3 (c) -0.31 (d) 0.4 (e) -4 (f) 4 (g) -44
f
Which is the fifth smallest value? (a) 156/79 (b) 2 (c) -15 (d) -0.4 (e) -1 (f) -69
a
What is the smallest value in 2/67, 2.6, 3, -463, -4/3, -2/19?
-463
Which is the fifth biggest value? (a) 0.6 (b) -0.051 (c) -0.1 (d) 0.785 (e) -12 (f) -1/4 (g) 1
c
What is the second smallest value in -1, 49/57, 5/2, 1/91, 3/5, 5?
1/91
Which is the third smallest value? (a) -70 (b) 8 (c) -0.2 (d) -1 (e) -84 (f) 0.3
d
Which is the smallest value? (a) 7/4 (b) -68 (c) -3 (d) -0.05 (e) -1/4 (f) 4.29 (g) -1/2
b
What is the seventh biggest value in 5, -193, 1, 12, -5, -3/8, 1/9?
-193
What is the third smallest value in 6, -4788/13, -4/3?
6
What is the seventh smallest value in -5/4, -3/7, -2/11, -36, 41, -0.06, 2/137?
41
Which is the biggest value? (a) -2/9 (b) 2.53 (c) -158/1269
b
What is the fifth biggest value in -3, -10, -0.24, 3/10, -166, 5/2?
-10
What is the third smallest value in 1/42, 25, 1/7, -50?
1/7
What is the third biggest value in 22367, 2/11, -3, -20?
-3
What is the sixth biggest value in -8/5, 3/2, -3/7, 49, -44, -0.5?
-44
What is the third biggest value in 5, 12, -5, 1.8222, -2/5?
1.8222
What is the fourth biggest value in -0.5, 5, 251.85, -1/3, -294?
-0.5
Which is the fourth biggest value? (a) 1 (b) 9 (c) 576 (d) -1.3 (e) -0.06 (f) 5
a
Which is the third smallest value? (a) -28 (b) -189 (c) 3 (d) 0.01164
d
Which is the fifth biggest value? (a) -3/5 (b) 4/7 (c) -103 (d) -2 (e) 0.2 (f) 18
d
Which is the second smallest value? (a) 4 (b) 7 (c) 1/5 (d) -1 (e) 1/3 (f) 20/9
c
What is the fifth smallest value in -5, 5, 0.4, 2.77, -2/17, 2/9, 48.2?
2.77
What is the third smallest value in -787964, -2/11, 0.5?
0.5
Which is the third biggest value? (a) 362645 (b) -7/8 (c) -2/19
b
What is the third biggest value in 1, -164, -1/5, 1/72, 5, -3?
1/72
What is the second biggest value in 6, 154.11, -16, 2, -0.4?
6
Which is the biggest value? (a) 2444825 (b) -5 (c) 1 (d) 0.1
a
What is the fourth smallest value in 1/7, -1/3, -206, -3, 3/7, -5, -6?
-3
Which is the third smallest value? (a) 5/4 (b) 294/37 (c) 0.05
b
What is the second biggest value in 2/5, -168, -334921?
-168
What is the second biggest value in -4.5, 7, -0.2, -3, 2/11, 101/3, 0?
7
Which is the third smallest value? (a) -24559 (b) 384 (c) 2/7
b
Which is the biggest value? (a) -2/475 (b) 1 (c) 0.69 (d) 224
d
What is the fifth smallest value in 52, -34/7, -3, 2, 290, -2, -0.6?
2
Which is the third biggest value? (a) 94 (b) 2 (c) -15 (d) 962
b
Which is the biggest value? (a) 142 (b) -2 (c) -0.02 (d) -4302
a
Which is the fifth smallest value? (a) 0 (b) -2307 (c) 3/4 (d) -0.05 (e) 0.04 (f) -0.6
e
What is the third smallest value in -1/203, -0.1, 27.545?
27.545
What is the smallest value in -581504, 1/19, -4, 4?
-581504
What is the second smallest value in -129, 3, -0.4, 4, -12.1, -0.17?
-12.1
Which is the biggest value? (a) 6219 (b) -92.9 (c) -2
a
What is the smallest value in -1/3, -2, -113, 0, 5/13?
-113
Which is the third smallest value? (a) 11.4 (b) 11.73 (c) -2 (d) 0 (e) -0.5 (f) -3
e
Which is the fourth smallest value? (a) 61/11 (b) -2 (c) 6/19 (d) 0.224
a
Which is the biggest value? (a) 0.03 (b) -193.3 (c) -0.5 (d) 5 (e) 2 (f) 0.3 (g) -61/17
d
Which is the third smallest value? (a) 1/4 (b) -0.2 (c) 2/9 (d) 117 (e) 2/333 (f) 4 (g) -5
e
What is the biggest value in -162, 4928, 0.5?
4928
What is the smallest value in 61/8, 4, 32/9, 23, 0.1?
0.1
What is the biggest value in 0.98, -0.104, 128/5?
128/5
Which is the third smallest value? (a) -2/15 (b) 0 (c) -0.03864
b
What is the second biggest value in -0.09, -692, 4, 1/5, -0.3?
1/5
Which is the sixth biggest value? (a) 2/9 (b) -0.19 (c) 5 (d) -5 (e) -98 (f) 4 (g) -0.3
d
Which is the third biggest value? (a) -4 (b) -636 (c) 1110 (d) 4 (e) 0.08
e
Which is the sixth biggest value? (a) 9/2 (b) 19 (c) -0.1 (d) 4 (e) -0.4 (f) -27
f
Which is the biggest value? (a) -8691 (b) -264 (c) 0.5
c
What is the third smallest value in -6/17, 7/5587, 0.1?
0.1
What is the third smallest
|
{
"pile_set_name": "DM Mathematics"
}
|
in -387, -386, -385, -384, -383, -382?
-381
What is the next term in -4, -9, -26, -61, -120, -209?
-334
What is the next term in -126, -128, -130, -132, -134, -136?
-138
What is the next term in -35, -25, 9, 79, 197?
375
What is the next term in 19, 43, 65, 85, 103?
119
What is next in -8, 38, 124, 256, 440?
682
What is the next term in -15, -54, -81, -90, -75, -30, 51, 174?
345
What comes next: -217, -219, -221, -223, -225?
-227
What is next in -96, -123, -138, -135, -108, -51, 42?
177
What is the next term in -22544, -45092, -67650, -90224, -112820, -135444, -158102?
-180800
What comes next: 81, 78, 73, 66?
57
What comes next: 159, 626, 1405, 2496?
3899
What is next in -1395, -2791, -4187, -5583, -6979?
-8375
What is the next term in 136, 287, 456, 649, 872?
1131
What is the next term in 473, 462, 455, 452?
453
What is the next term in 534, 1087, 1640, 2193, 2746?
3299
What comes next: 6735, 6732, 6729, 6726?
6723
What is next in 42, 169, 380, 675, 1054, 1517, 2064?
2695
What comes next: 55, 48, 41?
34
What is next in -576, -1152, -1728, -2304, -2880, -3456?
-4032
What comes next: -7, 16, 55, 110?
181
What is the next term in -11, -55, -129, -233?
-367
What is next in -13, -92, -225, -412, -653?
-948
What is next in -33, -53, -71, -87?
-101
What is next in 19164, 19163, 19162, 19161, 19160, 19159?
19158
What is the next term in -2971, -2970, -2969, -2968, -2967, -2966?
-2965
What is next in -70, -222, -480, -850, -1338, -1950, -2692?
-3570
What is the next term in 8, 15, 12, -7, -48, -117?
-220
What is the next term in 41, 63, 81, 95, 105, 111?
113
What is the next term in 63, 64, 75, 102, 151?
228
What is next in -19, -18, -15, -10, -3, 6, 17?
30
What comes next: 15, 101, 323, 747, 1439, 2465?
3891
What comes next: -105, -200, -295, -390, -485?
-580
What is the next term in -161, -328, -499, -674, -853?
-1036
What is next in 16, 36, 54, 70, 84, 96?
106
What comes next: 141, 283, 425, 567, 709, 851?
993
What is next in -2424, -2424, -2422, -2418, -2412, -2404, -2394?
-2382
What is next in 4, -5, -30, -71, -128, -201?
-290
What comes next: 217, 444, 671, 898, 1125, 1352?
1579
What comes next: 366, 371, 388, 423, 482, 571?
696
What is the next term in -143, -282, -417, -548?
-675
What is next in 38, 68, 98, 128?
158
What is the next term in -4291, -8585, -12883, -17185, -21491?
-25801
What is next in 16, 5, -16, -53, -112, -199, -320?
-481
What comes next: 34, 20, -4, -38, -82, -136, -200?
-274
What comes next: 114, 111, 106, 99?
90
What comes next: -129, -262, -387, -498, -589, -654, -687, -682?
-633
What is next in -1417, -1423, -1429, -1435, -1441?
-1447
What comes next: -98, -102, -106, -110?
-114
What is next in -29, -61, -93, -125?
-157
What is the next term in 59, 74, 85, 92, 95, 94, 89?
80
What comes next: 749, 748, 737, 710, 661, 584, 473, 322?
125
What is the next term in -16220, -16215, -16206, -16193?
-16176
What is the next term in 62, 65, 72, 83, 98, 117?
140
What is next in -1055, -1062, -1081, -1118, -1179, -1270, -1397?
-1566
What is next in -31, -217, -717, -1687, -3283?
-5661
What comes next: 759, 745, 723, 693, 655, 609, 555?
493
What is the next term in 688, 698, 730, 796, 908, 1078, 1318, 1640?
2056
What comes next: 88, 122, 180, 262, 368?
498
What is next in 21, -20, -59, -96, -131, -164?
-195
What is next in -182, -180, -178?
-176
What is the next term in 5, 9, 29, 71, 141, 245, 389, 579?
821
What is the next term in 131, 140, 153, 170, 191, 216?
245
What is the next term in -80, -70, -60, -50, -40, -30?
-20
What comes next: 72, 79, 86, 93, 100, 107?
114
What is next in -1760, -1755, -1748, -1739, -1728, -1715, -1700?
-1683
What is next in -171, -182, -197, -216, -239, -266, -297?
-332
What is next in 3377, 13503, 30379, 54005?
84381
What comes next: -1013, -1010, -1007, -1004, -1001?
-998
What is the next term in 12, 26, 44, 66, 92, 122, 156?
194
What comes next: 2, 5, 26, 77, 170, 317?
530
What comes next: 350, 1372, 3072, 5444, 8482, 12180, 16532?
21532
What is the next term in 35, 92, 163, 230, 275?
280
What is next in -1080, -2162, -3244?
-4326
What comes next: 566, 1132, 1700, 2270, 2842?
3416
What is the next term in -92, -119, -144, -167, -188?
-207
What comes next: -1976, -3922, -5856, -7772, -9664, -11526, -13352?
-15136
What comes next: 50, 51, 48, 35, 6, -45?
-124
What is the next term in 12, 16, 16, 12, 4, -8?
-24
What is next in 5, 2, 1, 2, 5, 10, 17?
26
What is next in 1336, 1334, 1322, 1294, 1244, 1166, 1054?
902
What is next in -150, -146, -138, -126, -110?
-90
What comes next: -32819, -32820, -32821, -32822, -32823?
-32824
What comes next: -20, -45, -68, -89, -108, -125?
-140
What is the next term in 38, 35, 32, 29, 26, 23?
20
What is next in -189, -372, -555, -738?
-921
What is next in 39, 37, 35, 33, 31, 29?
27
What is the next term in 3492, 3493, 3494?
3495
What is the next term in -4, -21, -36, -49, -60?
-69
What is the next term in 4, 20, 50, 100, 176, 284, 430, 620?
860
What is the next term in -19, -36, -53, -70, -87, -104?
-121
What is next in -72, -114, -126, -108, -60, 18, 126?
264
What is next in 3, 17, 39, 69, 107, 153, 207?
269
What comes next: 27, 28, 29, 30?
31
What comes next: 2746, 5493, 8240, 10987?
13734
What is next in 801, 807, 813, 819?
825
What is the next term in -51, -67, -99, -153, -235, -351?
-507
What comes next: 133, 78, 23?
-32
What is the next term in -22, -36, -48, -58, -66, -72?
-76
What comes next: -64, -132, -200?
-268
What is next in 609, 610, 611, 612?
613
What is next in 21, 147, 489, 1155, 2253, 3891, 6177?
9219
What is next in 413, 837, 1261, 1685, 2109?
2533
What comes next: -1216, -1191, -1140, -1057, -936, -771?
-556
What is next in -629, -1251, -1871, -2489, -3105, -3719?
-4331
What comes next: -16, -83, -196, -355?
-560
What is next in 76, 81, 82, 73, 48?
1
What is next in 68, 132, 196, 260?
324
What is the next term in -88, -164, -232, -292, -344?
-388
What is the next term in -9340, -9344, -9350, -9358, -9368, -9380, -9394?
-9410
What is next in 149, 305, 463, 629, 809, 1009, 1235, 1493?
1789
What is next in -12, -9, 4, 33, 84, 163, 276?
429
What is the next term in 120, 161, 236, 351, 512?
725
What is the next term in 716, 731, 746, 761, 776, 791?
806
What is the next term in -20, -28, -36, -44, -52, -60?
-68
What is next in 23, 20, 23, 38, 71, 128, 215, 338?
503
What comes next: 46, 32, 8, -26, -70, -124?
-188
What is next in -5, 95, 197, 301, 407, 515?
625
What is next in -12, 22, 80, 162, 268?
398
What is the next term in -8, -61, -208, -497, -976, -1693, -2696, -4033?
-5752
What is the next term in -5, -6, -7?
-8
What is the next term in 229, 232, 237, 244, 253, 264?
277
What is next in 221, 223, 225, 227, 229?
231
What comes next: 1672, 3343, 5014, 6685?
8356
What is next in 13, 77, 191, 361, 593, 893, 1267?
1721
What comes next: -10159, -20320, -30481, -40642, -50803, -60964?
-71125
What comes next: 3002, 3003, 3004, 3005, 3006, 3007?
3008
What is next in 1868, 1870, 1872, 1874?
1876
What comes next: -267, -261, -255, -249, -243?
-237
What comes next: 7, 53, 181, 433, 851, 1477?
2353
What is next in 38, 74, 110?
146
What is next in 214, 413, 622, 847, 1094?
1369
What is the next term in 101, 98, 93, 86, 77, 66, 53?
38
What is next in 107, 99, 87, 71?
51
What is the next term in 10322, 10326, 10332, 10340, 10350?
10362
What comes next: 6, 5, 4, 3, 2, 1?
0
What comes next: 15, 23, 35, 45, 47, 35, 3, -55?
-145
What comes next: 203, 196, 185, 170?
151
What is next in -198, -392, -584, -774, -962?
-1148
What comes next: 50, 191, 428, 761, 1190, 1715, 2336?
3053
What is the next term in -8, -43, -76, -107, -136, -163, -188?
-211
What is next in 14, 0, -26, -64, -114, -176, -250?
-336
What is next in 329, 663, 999, 1337, 1677, 2019?
2363
What is next in 6939, 13877, 20815, 27753, 34691?
41629
What comes next: -264, -517, -772, -1029, -1288?
-1549
What is the next term in -90, -183, -278, -375, -474, -575?
-678
What is the next term in 98, 101, 106, 113, 122, 133?
146
What is the next term in -33, -16, 13, 60, 131?
232
What comes next: 98, 205, 310, 413, 514?
613
What comes next: 160, 155, 150, 145, 140, 135?
130
What is next in 352, 694, 1028, 1354, 1672, 1982?
2284
What is next in 1204, 1183, 1164, 1147, 1132?
1119
What comes next: -16, -59, -176, -4
|
{
"pile_set_name": "DM Mathematics"
}
|
Does 479 divide 160989?
False
Does 9 divide 913086?
True
Is 3500637 a multiple of 12?
False
Is 23039595 a multiple of 23?
False
Is 700870 a multiple of 35?
False
Is 89 a factor of 1908856?
False
Does 148 divide 3558068?
True
Is 2328225 a multiple of 25?
True
Does 35 divide 4633756?
False
Does 126 divide 5845014?
True
Does 49 divide 973932?
False
Is 481 a factor of 590234?
False
Does 2 divide 684222?
True
Is 107242 a multiple of 43?
True
Is 2317200 a multiple of 12?
True
Is 490 a factor of 539490?
True
Is 61 a factor of 133041?
True
Does 2235 divide 6095682?
False
Does 162 divide 96973?
False
Does 121 divide 611534?
True
Is 186865 a multiple of 19?
True
Does 194 divide 291970?
True
Is 34391 a multiple of 350?
False
Is 534 a factor of 157495?
False
Is 580647 a multiple of 923?
False
Is 58 a factor of 198954?
False
Does 524 divide 101132?
True
Does 1404 divide 5616284?
False
Is 348087 a multiple of 26?
False
Is 628789 a multiple of 154?
False
Does 2 divide 878612?
True
Does 126 divide 3752406?
True
Does 108 divide 238798?
False
Is 2822038 a multiple of 79?
True
Is 5 a factor of 2208?
False
Does 63 divide 581301?
True
Is 81 a factor of 792827?
False
Is 2283 a factor of 11136474?
True
Is 7672 a multiple of 548?
True
Does 88 divide 197117?
False
Is 269880 a multiple of 130?
True
Does 75 divide 8229268?
False
Is 1951488 a multiple of 352?
True
Is 68350 a multiple of 7?
False
Is 95692 a multiple of 29?
False
Is 642475 a multiple of 829?
True
Is 13097 a multiple of 56?
False
Does 103 divide 236936?
False
Does 25 divide 4799?
False
Is 18 a factor of 204084?
True
Does 86 divide 165917?
False
Is 26 a factor of 85358?
True
Does 3 divide 12066?
True
Is 41 a factor of 12775147?
False
Is 38 a factor of 3695804?
True
Is 5543 a multiple of 3?
False
Does 389 divide 10170794?
True
Is 139 a factor of 34611?
True
Is 109296 a multiple of 23?
True
Is 38 a factor of 4652781?
False
Is 657 a factor of 254259?
True
Does 32 divide 597878?
False
Is 19 a factor of 76565?
False
Is 65064 a multiple of 8?
True
Is 530 a factor of 1122846?
False
Is 311 a factor of 2799?
True
Does 6 divide 179032?
False
Is 693638 a multiple of 3?
False
Does 959 divide 9229416?
True
Is 237538 a multiple of 47?
True
Does 149 divide 121343?
False
Is 424 a factor of 16011197?
False
Does 274 divide 697604?
True
Is 57 a factor of 446424?
True
Is 413973 a multiple of 21?
True
Is 154 a factor of 79754?
False
Is 267 a factor of 20112546?
False
Is 96 a factor of 223008?
True
Is 101479 a multiple of 19?
True
Is 20180 a multiple of 20?
True
Is 2749437 a multiple of 10?
False
Is 7 a factor of 2264269?
True
Is 34 a factor of 5722642?
True
Is 173 a factor of 24566?
True
Does 193 divide 2428326?
True
Is 139 a factor of 255132?
False
Is 15 a factor of 19357?
False
Is 427934 a multiple of 109?
True
Is 1982680 a multiple of 140?
True
Is 485488 a multiple of 16?
True
Is 239140 a multiple of 102?
False
Is 19 a factor of 7688692?
True
Does 346 divide 6647352?
True
Is 729480 a multiple of 20?
True
Is 171 a factor of 1253262?
False
Is 578430 a multiple of 15?
True
Is 956473 a multiple of 13?
False
Is 619580 a multiple of 490?
False
Is 105 a factor of 61451?
False
Is 505532 a multiple of 78?
False
Is 868 a factor of 9424788?
False
Is 355297 a multiple of 15?
False
Is 53 a factor of 1688527?
True
Is 771 a factor of 8439785?
False
Is 456 a factor of 747871?
False
Does 2 divide 2572813?
False
Is 23 a factor of 142540?
False
Does 61 divide 1315038?
True
Is 1481116 a multiple of 13?
True
Is 1313829 a multiple of 577?
True
Does 62 divide 1312793?
False
Is 3 a factor of 56878?
False
Does 104 divide 6699902?
False
Is 551 a factor of 557612?
True
Does 5 divide 9000?
True
Does 12 divide 117284?
False
Is 28 a factor of 546781?
False
Is 6659 a multiple of 3?
False
Is 23 a factor of 7009350?
False
Does 784 divide 664048?
True
Is 18 a factor of 487683?
False
Does 56 divide 7516096?
True
Is 236419 a multiple of 6?
False
Does 76 divide 4360616?
False
Is 51 a factor of 103133?
False
Is 25189444 a multiple of 14?
True
Does 16 divide 130256?
True
Is 30 a factor of 425064?
False
Does 11 divide 214060?
True
Does 33 divide 343272?
False
Does 70 divide 14280?
True
Does 153 divide 552697?
False
Does 16 divide 702525?
False
Does 310 divide 59830?
True
Does 340 divide 3346620?
True
Is 17 a factor of 3654541?
True
Does 24 divide 1577574?
False
Does 160 divide 435040?
True
Does 705 divide 3405855?
True
Does 452 divide 1083004?
False
Is 163164 a multiple of 12?
True
Does 90 divide 81810?
True
Is 6 a factor of 82812?
True
Does 41 divide 11671?
False
Is 398 a factor of 869651?
False
Is 302 a factor of 4130152?
True
Is 974 a factor of 4789089?
False
Is 247657 a multiple of 58?
False
Is 88740 a multiple of 36?
True
Is 3119618 a multiple of 738?
False
Does 17 divide 32050?
False
Is 489 a factor of 789246?
True
Does 52 divide 24752?
True
Is 6 a factor of 147073?
False
Does 17 divide 1473169?
True
Does 335 divide 1898780?
True
Is 13 a factor of 530926?
False
Is 693648 a multiple of 12?
True
Is 11069946 a multiple of 138?
True
Does 173 divide 2247055?
False
Is 88298 a multiple of 119?
True
Does 50 divide 115500?
True
Does 7 divide 58303?
True
Is 651570 a multiple of 30?
True
Is 4619 even?
False
Does 58 divide 3326184?
True
Is 183 a factor of 326788?
False
Is 1295406 a multiple of 189?
True
Is 13166307 a multiple of 2079?
True
Is 154 a factor of 144144?
True
Does 35 divide 249511?
False
Does 89 divide 883770?
True
Does 9 divide 87401?
False
Is 1485257 even?
False
Does 452 divide 28915059?
False
Does 2 divide 205?
False
Does 314 divide 1709855?
False
Is 1031 a factor of 517562?
True
Does 52 divide 27040?
True
Is 2779092 a multiple of 204?
True
Is 1379856 a multiple of 816?
True
Is 90 a factor of 353618?
False
Does 142 divide 602642?
False
Does 29 divide 106727?
False
Does 36 divide 489674?
False
Does 17 divide 2225735?
False
Does 13 divide 1907535?
False
Does 33 divide 3696641?
False
Is 12 a factor of 1737456?
True
Does 131 divide 117197?
False
Does 179 divide 217664?
True
Is 4811083 a multiple of 44?
False
Does 801 divide 2846883?
False
Is 3119310 a multiple of 81?
True
Does 12 divide 14400?
True
Does 13 divide 6671692?
False
Does 99 divide 24849?
True
Is 82 a factor of 496100?
True
Is 159552 a multiple of 36?
True
Is 368 a factor of 577836?
False
Is 5221998 a multiple of 8?
False
Is 26026 a multiple of 91?
True
Is 11 a factor of 43975?
False
Is 60812 a multiple of 23?
True
Is 2 a factor of 79?
False
Is 399378 a multiple of 259?
True
Is 3220045 a multiple of 20?
False
Is 1539164 a multiple of 44?
True
Does 185 divide 254476?
False
Is 55 a factor of 136785?
True
Is 5 a factor of 287885?
True
Is 92 a factor of 7741156?
True
Is 99362 a multiple of 110?
False
Is 996040 a multiple of 74?
True
Does 67 divide 4512048?
True
Does 45 divide 124245?
True
Is 33 a factor of 4875222?
True
Is 36006 a multiple of 3?
True
Does 54 divide 1192860?
True
Does 4 divide 3915663?
False
Is 9044286 a multiple of 2049?
True
Is 30 a factor of 23046570?
True
Is 873762 a multiple of 31?
False
Does 21 divide 435058?
False
Is 22 a factor of 23071?
False
Is 743712 a multiple of 183?
True
Does 37 divide 557123?
False
Is 2971943 a multiple of 13?
True
Does 29 divide 329693?
False
Is 38976 a multiple of 58?
True
Is 7980915 a multiple of 84?
False
Does 59 divide 19116?
True
Is 298474 a multiple of 11?
True
Does 1883 divide 12337416?
True
Does 220 divide 1330245?
False
Does 146 divide 69418?
False
Does 120 divide 58703?
False
Is 31 a factor of 31961?
True
Does 8 divide 1015051?
False
Is 141768 a multiple of 132?
True
Is 312657 a multiple of 138?
False
Is 74 a factor of 4514?
True
Is 2559940 a multiple of 4?
True
Is 59 a factor of 31742?
True
Is 9010462 a multiple of 19?
False
Is 1213568 a multiple of 32?
True
Is 318160 a multiple of 878?
False
Is 850984 a multiple of 8?
True
Is 1983560 a multiple of 17?
True
Does 29 divide 21774?
False
Does 347 divide 17639051?
True
Is 1203792 a multiple of 12?
True
Is 51 a factor of 970391?
False
Is 1291920 a multiple of 40?
True
Does 758 divide 425503?
False
Does 12 divide 375996?
True
Is 43 a factor of 6510885?
False
Is 288552 a multiple of 33?
True
Is 371 a factor of 171372?
False
Does 12 divide 208070?
False
Does 8 divide 2933395?
False
Is 224 a facto
|
{
"pile_set_name": "DM Mathematics"
}
|
3 - 96413*s + 177
What is the n'th term of 578358, 1156755, 1735152, 2313549?
578397*n - 39
What is the v'th term of -8590568, -17181133, -25771698, -34362263, -42952828?
-8590565*v - 3
What is the x'th term of 1880, 3654, 5378, 7052, 8676, 10250?
-25*x**2 + 1849*x + 56
What is the r'th term of -1983793, -1983754, -1983659, -1983484, -1983205?
4*r**3 + 4*r**2 - r - 1983800
What is the j'th term of 1997, 2913, 3825, 4733, 5637, 6537?
-2*j**2 + 922*j + 1077
What is the p'th term of 185121, 370266, 555411, 740556?
185145*p - 24
What is the w'th term of -7356, -29621, -66800, -118893, -185900, -267821?
-7457*w**2 + 106*w - 5
What is the l'th term of -1000390, -1000006, -999636, -999286, -998962, -998670?
-l**3 - l**2 + 394*l - 1000782
What is the k'th term of -12631060, -25262121, -37893182?
-12631061*k + 1
What is the u'th term of -4040, -8432, -12824?
-4392*u + 352
What is the u'th term of 156463132, 156463133, 156463136, 156463141, 156463148, 156463157?
u**2 - 2*u + 156463133
What is the b'th term of 1226, 10330, 34996, 82994, 162094?
1295*b**3 + 11*b**2 + 6*b - 86
What is the x'th term of 164311582, 164311587, 164311592?
5*x + 164311577
What is the k'th term of -42417782, -42417781, -42417780?
k - 42417783
What is the u'th term of 4842, 9571, 14178, 18663?
-61*u**2 + 4912*u - 9
What is the a'th term of -2210, -2556, -3068, -3692, -4374, -5060, -5696?
9*a**3 - 137*a**2 + 2*a - 2084
What is the c'th term of 263958, 527780, 791578, 1055340, 1319054, 1582708?
-2*c**3 + 263836*c + 124
What is the d'th term of 983, -13214, -36883, -70030, -112661, -164782, -226399?
-d**3 - 4730*d**2 + 5714
What is the d'th term of -1755, -5882, -14749, -30726, -56183, -93490?
-395*d**3 - 1362*d + 2
What is the b'th term of 23979, 95941, 215879, 383793, 599683, 863549, 1175391?
23988*b**2 - 2*b - 7
What is the n'th term of -1834822, -7339285, -16513384, -29357119, -45870490, -66053497, -89906140?
-1834818*n**2 - 9*n + 5
What is the x'th term of 1242, -11107, -31688, -60501?
-4116*x**2 - x + 5359
What is the o'th term of -3816, -6909, -9744, -12315, -14616?
o**3 + 123*o**2 - 3469*o - 471
What is the a'th term of -430431, -430423, -430413, -430401, -430387, -430371?
a**2 + 5*a - 430437
What is the v'th term of 719362874, 719362876, 719362880, 719362886?
v**2 - v + 719362874
What is the t'th term of 1998231, 3996471, 5994711, 7992951, 9991191, 11989431?
1998240*t - 9
What is the h'th term of -15817811, -31635625, -47453439, -63271253, -79089067?
-15817814*h + 3
What is the j'th term of -5380578, -5380579, -5380578, -5380575, -5380570?
j**2 - 4*j - 5380575
What is the k'th term of 794984, 794949, 794914, 794879, 794844?
-35*k + 795019
What is the d'th term of -2901175, -2900992, -2900695, -2900290, -2899783, -2899180?
-d**3 + 63*d**2 + d - 2901238
What is the d'th term of 264258, 528515, 792772?
264257*d + 1
What is the d'th term of -5753845, -5753847, -5753849, -5753851, -5753853, -5753855?
-2*d - 5753843
What is the d'th term of 273, -290, -1229, -2544, -4235, -6302?
-188*d**2 + d + 460
What is the v'th term of -6219, -11073, -14561, -16683, -17439, -16829, -14853?
683*v**2 - 6903*v + 1
What is the f'th term of 97137, 194434, 291893, 389514, 487297?
81*f**2 + 97054*f + 2
What is the a'th term of -1347033, -1346905, -1346695, -1346403, -1346029, -1345573, -1345035?
41*a**2 + 5*a - 1347079
What is the b'th term of -2615045, -5230097, -7845149, -10460201, -13075253, -15690305?
-2615052*b + 7
What is the k'th term of -8366161, -33464621, -75295389, -133858465, -209153849, -301181541?
-8366154*k**2 + 2*k - 9
What is the o'th term of 230890, 231023, 231152, 231277, 231398?
-2*o**2 + 139*o + 230753
What is the l'th term of -16987, -135863, -458529, -1086877, -2122799, -3668187?
-16982*l**3 - 3*l**2 + 7*l - 9
What is the l'th term of 3243622, 3243528, 3243372, 3243154, 3242874?
-31*l**2 - l + 3243654
What is the d'th term of -177470, -709955, -1597430, -2839895, -4437350, -6389795, -8697230?
-177495*d**2 + 25
What is the l'th term of -242, -878, -1800, -3014, -4526, -6342, -8468, -10910?
-l**3 - 137*l**2 - 218*l + 114
What is the z'th term of 99725, 398961, 897709, 1595969, 2493741, 3591025, 4887821?
99756*z**2 - 32*z + 1
What is the f'th term of 22821, 32178, 41537, 50898, 60261, 69626?
f**2 + 9354*f + 13466
What is the c'th term of -63598, -63468, -63356, -63268, -63210, -63188, -63208, -63276?
-c**3 - 3*c**2 + 146*c - 63740
What is the s'th term of 19339056, 19339049, 19339042?
-7*s + 19339063
What is the c'th term of 5907, 11363, 16393, 20997, 25175, 28927?
-213*c**2 + 6095*c + 25
What is the c'th term of 1889, 6696, 14731, 26012, 40557?
3*c**3 + 1596*c**2 - 2*c + 292
What is the i'th term of 28821745, 28821742, 28821739?
-3*i + 28821748
What is the d'th term of -3561330, -7122652, -10683974, -14245296?
-3561322*d - 8
What is the i'th term of 48702, 194483, 437444, 777579, 1214882, 1749347, 2380968?
-i**3 + 48596*i**2 + 107
What is the a'th term of 89851455, 89851450, 89851445, 89851440?
-5*a + 89851460
What is the r'th term of -52539, -105120, -157701, -210282, -262863, -315444?
-52581*r + 42
What is the p'th term of 3260, 6732, 10650, 15236, 20712, 27300, 35222?
37*p**3 + p**2 + 3210*p + 12
What is the b'th term of 1368, 2719, 4124, 5649, 7360, 9323, 11604, 14269?
11*b**3 - 39*b**2 + 1391*b + 5
What is the i'th term of 120883, 120791, 120673, 120523, 120335?
-i**3 - 7*i**2 - 64*i + 120955
What is the s'th term of -217240, -217259, -217292, -217345, -217424?
-s**3 - s**2 - 9*s - 217229
What is the h'th term of 205294325, 205294327, 205294329, 205294331, 205294333?
2*h + 205294323
What is the h'th term of 2919, 3159, 3551, 4095, 4791?
76*h**2 + 12*h + 2831
What is the q'th term of 160620, 160607, 160568, 160491, 160364, 160175, 159912, 159563?
-2*q**3 - q**2 + 4*q + 160619
What is the h'th term of 3896793, 3896794, 3896797, 3896802, 3896809, 3896818, 3896829?
h**2 - 2*h + 3896794
What is the i'th term of 598, 4690, 15860, 37666, 73666, 127418, 202480?
593*i**3 - 19*i**2 - 2*i + 26
What is the t'th term of 1391918, 2783816, 4175714?
1391898*t + 20
What is the o'th term of 1461, 6827, 20091, 45201, 86105, 146751, 231087, 343061?
658*o**3 + o**2 + 757*o + 45
What is the p'th term of -3827, -3994, -4187, -4340, -4387?
11*p**3 - 79*p**2 - 7*p - 3752
What is the t'th term of 173316, 346625, 519934, 693243, 866552, 1039861?
173309*t + 7
What is the p'th term of -86537, -86548, -86561, -86576, -86593, -86612, -86633?
-p**2 - 8*p - 86528
What is the y'th term of -5561154, -11122294, -16683436, -22244580, -27805726, -33366874, -38928024?
-y**2 - 5561137*y - 16
What is the g'th term of -19534, -39090, -58646, -78202, -97758?
-19556*g + 22
What is the t'th term of 12281733, 24563476, 36845219, 49126962?
12281743*t - 10
What is the v'th term of -64364346, -64364335, -64364322, -64364307, -64364290, -64364271, -64364250?
v**2 + 8*v - 64364355
What is the x'th term of 12946, 11551, 10156?
-1395*x + 14341
What is the c'th term of 238, 60, -124, -314, -510, -712?
-3*c**2 - 169*c + 410
What is the b'th term of -7830, 14940, 52892, 106026, 174342, 257840?
7591*b**2 - 3*b - 15418
What is the b'th term of 12899, 52606, 118783, 211430, 330547, 476134, 648191?
13235*b**2 + 2*b - 338
What is the u'th term of 13026, 12983, 12942, 12903?
u**2 - 46*u + 13071
What is the t'th term of -76, -206, -426, -748, -1184, -1746?
-2*t**3 - 33*t**2 - 17*t - 24
What is the w'th term of -545473, -1090947, -1636417, -2181883, -2727345, -3272803?
2*w**2 - 545480*w + 5
What is the m'th term of -8809, -7741, -5941, -3403, -121, 3911, 8699, 14249?
m**3 + 360*m**2 - 19*m - 9151
What is the t'th term of 1855, 1872, 1879, 1876?
-5*t**2 + 32*t + 1828
What is the b'th term of 29629, 120205, 271171, 482527, 754273?
30195*b**2 - 9*b - 557
What is the r'th term of -47058, -94191, -141408, -188715, -236118, -283623, -331236, -378963?
-r**3 - 36*r**2 - 47018*r - 3
What is the g'th term of 2201, 11708, 35805, 81788, 156953, 268596?
1216*g**3 - g**2 + 998*g - 12
What is the r'th term of -5812098, -5812114, -5812130?
-16*r - 5812082
What is the i'th term of -694896, -2779571, -6254022, -11118249, -17372252, -25016031, -34049586?
-694888*i**2 - 11*i + 3
What is the q'th term of -5749, -11418, -17087, -22756, -28425, -34094?
-5
|
{
"pile_set_name": "DM Mathematics"
}
|
lse
Let w be 2 + -5 + 0 + 3. Suppose f + 0*f = 1972. Is (f/8 - w)*2 prime?
False
Is (-1)/((20/18935)/(-4)) a prime number?
False
Let n(f) = -f + 9. Let c be n(-10). Suppose c*w + 6853 = 30*w. Is w composite?
True
Let t = -19 + 25. Suppose -t*o + 196 + 758 = 0. Is o a prime number?
False
Let u = 12 + -8. Suppose q + 215 = -u*q. Let g = 3 - q. Is g a composite number?
True
Suppose -11*b - 20*b = -8029. Is b a composite number?
True
Let c be ((-1)/2 + 1)/(4/(-8)). Let g(d) = -6*d**3 + 2*d**2 - 1. Is g(c) a prime number?
True
Let c(n) = -13*n**2 - n + 3. Let w be c(4). Let v be 91/52 - (-2)/8. Is v*-11*w/22 a prime number?
False
Let z be -4 - -2*3*18/27. Suppose -2*b = -i + 141 + 184, 0 = 4*i + 3*b - 1333. Let t = z + i. Is t a prime number?
True
Let r(b) = -189*b + 2. Let u be r(-4). Let z = u + -505. Is z a composite number?
True
Let k be (-4)/(-2) - 9/(-3). Suppose -d - 3*i = -0*d + 16, k*i + 50 = -5*d. Let u(h) = -h**3 - 4*h**2 - 2*h - 4. Is u(d) a prime number?
True
Suppose -141*v + 144*v - 3282 = 0. Is v composite?
True
Let t(x) = -342*x - 25. Is t(-4) prime?
False
Let v(w) = -422*w**2 + 3*w + 2. Let k be v(-3). Let q = -1656 - k. Is q composite?
True
Suppose 2*q = 3*q - 74. Let n = -17 + q. Suppose 4*x - 433 + n = 0. Is x a prime number?
False
Suppose 5*t = -3*a - 0*a + 12, 5 = -5*a. Suppose 47 = 3*n + 4*f, 4*n - t*n + 1 = 2*f. Suppose 2*h + 4*x - 170 = 0, 5*x - 435 = -n*h + 4*h. Is h prime?
True
Let m be -2*(-6 + -1 + 5). Suppose m = -2*j + 3*g, 0 = -4*g + 13 + 3. Is 117 + 0 - j*-1 composite?
True
Let b = 21738 - 14587. Is b prime?
True
Let k(c) = 41*c + 7. Let j = 48 - 34. Is k(j) composite?
True
Let h be (-19)/((-1)/10 + 0). Let o = -93 + h. Suppose -j = -2*j - d + o, 0 = 5*j + 3*d - 485. Is j composite?
False
Let s = 74 + -39. Is 10/s + (-3594)/(-14) prime?
True
Let k be 3 + (-2 - -3) + 0. Suppose 0*f - 24 = -2*d + k*f, 8 = -d - 2*f. Is d - (3 + -2)/(-1) composite?
False
Let o be -1 - -9484 - -3*(-2)/(-3). Suppose -3*m + o = 2*m. Is m a prime number?
False
Let o = 18 - 3. Let x = o + -15. Suppose -m + 148 + 89 = x. Is m prime?
False
Let y = -64 - -68. Is -2566*(0 - 2)/y a composite number?
False
Suppose y + f = -y + 37, f = 5. Let n = 21 - y. Suppose 0 = n*l + 4*u - 518, -2*u = -4*l + 3*u + 439. Is l composite?
True
Let p = 7219 - -5998. Is p prime?
True
Is ((-65)/5 - -13) + (0 - -42593) a composite number?
True
Is -4713*(2 + (-49)/21) prime?
True
Let m(y) = 11*y**2 + 2*y - 2. Is m(3) composite?
False
Let y = 23 - 21. Suppose -4*m = y*m. Suppose 3*j - 2700 - 177 = m. Is j prime?
False
Let b(q) = -13*q**3 + 5*q**2 + 5*q + 3. Let t be b(-3). Suppose 3*n = -2*c - c - 585, c = n + 191. Let w = n + t. Is w prime?
True
Let v(n) = -1079*n - 12. Let d be v(-6). Suppose -5844 - d = -6*y. Is y a prime number?
False
Let o(c) = -c**2 + 5*c + 10. Let r be o(6). Suppose r = 3*t - t. Suppose t*m + 394 = 984. Is m prime?
False
Let a = 7728 - -3385. Is a prime?
True
Suppose 5*y - 10*c - 285790 = -5*c, 0 = -2*y + c + 114311. Is y prime?
False
Suppose 3*k - 5*t = 11, 2*t + 0*t = 3*k - 8. Suppose f = c + 751, -k*f + 2253 = f + c. Is f prime?
True
Let s be -1 + -1 + (7 - 3). Suppose 4 + s = 3*d - 3*v, -5*d = 3*v - 34. Let c(o) = -o**3 + 6*o**2 + 7*o - 5. Is c(d) prime?
False
Suppose 3*q = -w - 21 + 3, w + 4*q + 23 = 0. Is ((-3)/w)/(5/745) prime?
True
Suppose -3*d - 3 = 3*w, 3*d - 2*d + 1 = 0. Suppose 0 = -3*b - 4*p + 11523, 0*b - b - 4*p + 3833 = w. Is b prime?
False
Suppose -14454 = -4*m - 2*t, -12*m = -9*m + 5*t - 10844. Is m a composite number?
False
Suppose 2*y + 3*j = -2, -3*j + 8*j = 3*y - 35. Suppose -5*s - 12 = -o, y*o = 3*s - 23 - 5. Let v(n) = -50*n + 13. Is v(o) composite?
True
Let l(q) = -q**2 + 11*q + 15. Suppose 0 = -a - 0*a + 12. Let o be l(a). Suppose -53 = -y - 4*i, o*i + 59 = 4*y - 58. Is y composite?
True
Suppose -8*z + 5*z = -5*j + 4, j = -2*z + 6. Suppose 3*v - j*b = 9459 - 2119, -b = 2*v - 4898. Is v + -1 + -5 + 1 a prime number?
False
Let t(s) = 143*s**3 + s**2 - s. Suppose c = 4*j + 4*c - 5, j - 5*c = -16. Let v be (-3)/j + 14/(-7). Is t(v) a composite number?
True
Suppose 4*t - 2*j - 25770 = 0, 2*t = 4*t - 2*j - 12880. Is t composite?
True
Suppose 0 = 5*z + 4*x - 77759, -2*z + 3*x = -9473 - 21626. Is z a composite number?
False
Let o = 13 - 2. Let c be 7550/65 + (-4)/26. Suppose -d = -o - c. Is d composite?
False
Suppose -6 + 12 = 2*q. Let o be (6 - 3)/(q/2). Suppose -o*f - f + 444 = 2*v, -569 = -4*f + 5*v. Is f prime?
False
Let p(t) = -t - 4. Let m be p(-9). Suppose -5*r + m*w = -2*r - 17, 0 = 2*r + 5*w - 3. Suppose z = -r*z + 895. Is z a composite number?
False
Let k be (-11144)/(-4) - (-2 - 0). Suppose -2*t + 4*i + 1411 = -429, -3*t = i - k. Let m = t + -635. Is m composite?
False
Is 4/(-16) - 55890/(-40) a prime number?
False
Let j(x) = -147*x + 310. Is j(-23) prime?
True
Suppose -334 = 2*j + 2202. Let f = 1890 + j. Is f composite?
True
Let z(b) = 2*b**3 - 3*b**2 - 3*b + 1. Suppose 0*n + 24 = 6*n. Suppose 3*d + 5*r - 46 + 13 = 0, r - 27 = -n*d. Is z(d) a prime number?
True
Let r be 8064/27 + (-2)/3. Suppose 2*h = 6*h. Suppose 4*w + h*u - 1177 = -5*u, -w - 5*u + r = 0. Is w a composite number?
False
Is 20854 - (-31 + 16)*1/(-5) prime?
False
Suppose 42*t = 37*t - 370. Is (125 - 33)*t/(-8) prime?
False
Let t(x) = 12*x**2 + 5*x + 6. Is t(5) composite?
False
Let h(u) = -2*u**2 + 2*u + 1169. Let p(f) = -f**3 - f**2. Let o be p(0). Is h(o) a composite number?
True
Let r(g) = 81*g**2 - 9*g + 59. Is r(-7) composite?
False
Suppose -2*t + 4*g - 3042 = -4*t, 4*g + 7563 = 5*t. Is (t/(-12) + -1)/(5/(-20)) a composite number?
False
Let a(y) = y**3 - 6*y**2 - 7*y + 2. Let l be a(7). Suppose k = 4*r - l - 46, 5*k = 0. Is (31*-1)/((-12)/r) a prime number?
True
Let t be (-2)/(-6)*(-15)/1. Let l be t/((-35)/12)*7. Is ((-339)/12)/((-3)/l) prime?
True
Let j = -949 - -1036. Is j a prime number?
False
Is (3283825/230)/(5/2) prime?
True
Suppose 884 = -7*g - 271. Let u = g - 34. Is 6 + 2 + -4 - u a composite number?
True
Let k(s) = -8*s**3 + 13*s**2 + s - 136. Is k(-15) composite?
True
Suppose 77735 = 89*d - 84*d. Is d a prime number?
False
Let k = -296 - -531. Suppose 2*i - 4*i = 0. Suppose i = x - 0*x - k. Is x a composite number?
True
Suppose -2*i + 2*s = 6*s - 488, -3*i - 2*s = -740. Suppose -m = 3*m - i. Let n = m + -29. Is n a prime number?
False
Suppose -11*y + 115 + 50 = 0. Is 145 - (18/y)/(6/20) prime?
False
Suppose 27*o = 227675 + 422242. Is o composite?
False
Suppose -i + 2 = -0*i + 2*m, 3*i - 4*m - 6 = 0. Suppose i*v = -2*y + 450, 0*v - 5*v = -4*y - 1107. Is v prime?
True
Is (2*422/20)/((-29)/(-145)) prime?
True
Let i = 195 - 190. Suppose -2*d = 4*a + 79 - 1099, -3*d + 1275 = 5*a. Suppose 3*u = i*x + 91, 2*x = 5*u + 78 - a. Is u prime?
True
Let h(g) = 4 - 2*g - 4 + g**2. Let j = -55 - -62. Is h(j) composite?
True
Suppose 31*v - 37*v = -117966. Is v a composite number?
False
Suppose -5*r + 2 = 5*t - 68, 2 = -t. Let i = r + -16. Suppose -3*w - w + 1036 = i. Is w a composite number?
True
Let r be (-2)/(-3) - (-3490)/30. Suppose 2*v + 210 = 4*w, 3*w - r - 41 = v. Is w a prime number?
True
Let n(i) = i + i - 3*i + 2*i. Let w(l) = 411*l + 1. Let b(j) = -5*n(j) - w(j). Is b(-1) a composite number?
True
Let i = -2938 + 7485. Is i composite?
False
Is (29496/16)/(2/4) composite?
True
Let r = -4801 - -11250. Is r a composite number?
False
Let p be 1/(-3)*(-21)/1. Suppose -8*u + p*u = -30. Is 11922/u - 4/10 prime?
True
Let p = 260 + -183. Is 120373/p + (-2)/7 composite?
True
Let r(q) = -q**3 + 4*q**2 - 3*q + 2. Let h be r(3). Suppose -m - 2*m + 513 = h*l, 5*m - 860 = -5*l. Is m a composite number?
True
Let g = -514 + 1149. Is g composite?
True
Let h(y) be the third derivative of -y**6/60 - 13*y**5/30 - 13*y**4/12 - 11*y**3/2 - 25*y**2. Is h(-17) composite?
True
Let y(o) be the third derivative of -o**4/3 - o**3/3 + 4*o**2. Let i be y(-3). Let u = i - -36. Is u composite?
True
Suppose -145*w - 68385 = -160*w. Is w prime?
False
Suppose -8 = -5*n - 48. Suppose -4*o + v = 5*v - 52, -37 = -3*o - 4*v. Let c = n + o. Is c a composite number?
False
Let k(m) = -m**3 - 14*m**2 - 17*m - 35. Is k(-21) prime?
False
Suppose -4*j - 20117 = -148393. Is j composite?
False
Let a = 23329 + -8516. Is a a prime number?
True
Suppose z - 3*o = 5*z - 26, 0 = -3*z - 3*o + 1
|
{
"pile_set_name": "DM Mathematics"
}
|
(u) wrt u?
16
Let n(j) be the second derivative of 7*j**6/120 - j**4/3 + 3*j**2/2 - j. Let c(f) be the first derivative of n(f). What is the second derivative of c(h) wrt h?
42*h
Let g(b) be the second derivative of 26*b**6/15 + b**5/10 - 5*b**4/6 - 6*b - 1. What is the third derivative of g(m) wrt m?
1248*m + 12
What is the first derivative of -1772*o**2 - 41*o**3 - 176 - 2*o + 3542*o**2 - 1770*o**2 wrt o?
-123*o**2 - 2
Let p = 72 - 60. What is the first derivative of -8 - p + 21*c**4 + 2*c**4 wrt c?
92*c**3
What is the derivative of -34 + 5 + 8*k**2 + 4*k**3 - 22 - 33 wrt k?
12*k**2 + 16*k
Suppose 3*z - 13 = -o - o, -3*z = -9. What is the derivative of -15*h**2 + 5*h**3 + 28*h**2 + 13 - 13*h**o wrt h?
15*h**2
Suppose 0 = 5*d, 0*k = -2*k - 5*d + 78. Differentiate k + 38 + 7*p - 117 + 36 with respect to p.
7
Let b(i) be the first derivative of 508*i**5/5 - 301*i + 258. What is the first derivative of b(t) wrt t?
2032*t**3
Let f(n) = 101*n**2 + 62*n + 1. Let w(k) = 505*k**2 + 310*k + 4. Let v(s) = 11*f(s) - 2*w(s). What is the second derivative of v(r) wrt r?
202
What is the derivative of -3104*a**3 - 3*a**4 + 3104*a**3 - 61 wrt a?
-12*a**3
Differentiate -151 - 15*u**4 + 161 - 7*u**3 + 11*u**4 with respect to u.
-16*u**3 - 21*u**2
Let d be -4*1/(5/(-10)). Find the second derivative of 45*m**4 - 47*m**4 + 2 - 2 + d*m wrt m.
-24*m**2
Let j(q) be the third derivative of -q**4/24 - 113*q**3/6 + 98*q**2. What is the derivative of j(a) wrt a?
-1
Let h(r) be the first derivative of 0*r**3 + 0*r**4 + 44/5*r**5 - r + 8 + r**2. What is the second derivative of h(k) wrt k?
528*k**2
Let n(c) be the third derivative of c**6/30 + 3*c**5/10 + 68*c**3/3 - 10*c**2 + 2. What is the derivative of n(r) wrt r?
12*r**2 + 36*r
Find the third derivative of -337*z**4 + 166*z**4 + 110*z**2 + 171*z**4 + 35*z**5 + 2*z**3 wrt z.
2100*z**2 + 12
Let y be (-5)/(5 - 10) + 10/2. Let t = 4 - 0. What is the first derivative of t + 5*o + 0*o - y*o wrt o?
-1
Suppose -b - 60 = -7*b. Differentiate -12 - 17 + 17 + b*l with respect to l.
10
Suppose 0 = 9*n - 3*n. Let f(w) be the third derivative of 0*w**3 + 1/15*w**5 + 5/24*w**4 + 0 + 3*w**2 + n*w. Find the second derivative of f(t) wrt t.
8
Find the third derivative of 62*u - 4*u**2 + 3*u**3 - 34*u - 36*u + 20*u**3 wrt u.
138
Let t(q) be the second derivative of 17/6*q**3 + 9*q + 15/2*q**2 + 0. Find the first derivative of t(m) wrt m.
17
Let r = 6 - 7. Let q = 6 + r. What is the second derivative of 2*j**5 + 11*j - 12*j - q*j**5 wrt j?
-60*j**3
What is the second derivative of 30*s**4 + 68*s**2 + 112*s - 68*s**2 - 115*s**4 wrt s?
-1020*s**2
Let c(l) be the third derivative of -14*l**2 + 0*l + 0 - 2/3*l**3 + 2/3*l**4. Differentiate c(o) wrt o.
16
Suppose -4*r + 10 = 5*j, 4*j - 3*r = j + 6. Suppose j*i = -0*i - 10, 34 = 3*q - 5*i. Find the first derivative of n + 4 + 5*n**3 - n + q wrt n.
15*n**2
Find the third derivative of 381*g**3 + 40195*g**5 - 4 + 98*g**2 - 2 - 40193*g**5 + 6 wrt g.
120*g**2 + 2286
Let l(n) be the first derivative of 34*n**3/3 + 57*n - 34. What is the first derivative of l(x) wrt x?
68*x
Let n(l) = l**2 - l. Let i be n(2). Let m = 95 + -29. Find the third derivative of 66*w**3 + 7*w**i - m*w**3 + 6*w**5 wrt w.
360*w**2
Let j be 2*(4 - 33/6) - -26. What is the derivative of 14*d + 36 + 2*d + 2*d + j*d wrt d?
41
Let x(p) be the first derivative of -8*p**4 + 96*p + 69. What is the first derivative of x(k) wrt k?
-96*k**2
What is the second derivative of -p**3 - 12*p**4 + p**2 + 2*p**3 - p**2 - 204*p + 13*p**4 wrt p?
12*p**2 + 6*p
Let h(k) = -24*k**2 + 18*k. Let l(b) = b**2 - b. Let f(u) = u + 21. Let g be f(-20). Let a(q) = g*h(q) + l(q). Find the second derivative of a(w) wrt w.
-46
Let p be 6/(-1) - 2/(8/(-31)). Let d(o) be the first derivative of p*o**4 + 0*o**3 + 4 + 0*o**2 - 10*o. What is the first derivative of d(h) wrt h?
21*h**2
What is the third derivative of 33*y**5 + 99*y**5 - 20*y**5 + 138*y**2 wrt y?
6720*y**2
Find the third derivative of 40*h**5 + 32*h**5 + 2 + 86*h**5 - 68*h**2 wrt h.
9480*h**2
Find the first derivative of -5 - 590*n - 4*n**3 + 561*n + 2*n**3 wrt n.
-6*n**2 - 29
Let w(a) = -64*a**3 + 24*a**2 + 36. Let q = 0 + 5. Let z(r) = 13*r**3 - 5*r**2 - 7. Let t(x) = q*w(x) + 24*z(x). Find the first derivative of t(u) wrt u.
-24*u**2
Let u(t) be the third derivative of -64*t**4/3 + 8*t**3/3 + t**2 - 1. Find the first derivative of u(y) wrt y.
-512
Let z(s) = -s**3 - 3*s**2 - 3*s + 3. Let j be z(-3). Find the first derivative of -j + 36*k - 16*k - 16*k wrt k.
4
Let i be (-22)/(-3) + -1 + 24/(-72). Differentiate 10 - 12*t**2 + i - 7 - 12*t**2 wrt t.
-48*t
Suppose 84 = 5*h + t - 2, h - 2*t = 15. Let a = -11 + h. Find the second derivative of 6*d - a*d**2 - 5*d**4 - 3*d**2 + 9*d**2 wrt d.
-60*d**2
Let o(p) = p + 1. Let q(d) = -126*d + 70. Let i(c) = 5*o(c) - q(c). What is the first derivative of i(x) wrt x?
131
What is the third derivative of 0 - 2*x + 0 + 592*x**4 + 0*x**2 - 401*x**4 + 98*x**2 wrt x?
4584*x
Let l(b) be the first derivative of -4*b**5/5 + 5*b**4/4 - b**3/3 + 6*b + 1. What is the third derivative of l(s) wrt s?
-96*s + 30
Let w(f) = -f**3 - 2*f**2 - 2*f. Let k be w(-2). Let s be -2*(-6 + 1)/(3 - 1). What is the second derivative of l + k*l + 13*l**5 - 16*l**s wrt l?
-60*l**3
Find the third derivative of 2 + 48*o**5 - 14*o**2 - 73*o**5 - 58*o**5 wrt o.
-4980*o**2
Find the third derivative of u**3 + 203*u**2 + 4*u**3 - 5*u**3 - 245*u**5 - 34*u**5 wrt u.
-16740*u**2
What is the second derivative of 1 - 123*o - 475*o**4 + 1 + 224*o**4 wrt o?
-3012*o**2
Let u(q) = -6*q**4 + 3*q**3 - 310*q**2 - 3*q. Let t(r) = r**4 + r**3 - r. Let h(i) = -3*t(i) + u(i). What is the third derivative of h(c) wrt c?
-216*c
Suppose 5*b = -0*b + 15. Let p be (2 + -1)/(b/33). What is the third derivative of -p*i**6 + 63*i - 63*i + 2*i**2 + 3*i**2 wrt i?
-1320*i**3
Let r(s) be the third derivative of 1043*s**5/60 - 85*s**3 - s**2 - 104. What is the first derivative of r(w) wrt w?
2086*w
Let j(x) be the second derivative of x**8/2240 - x**5/24 - 5*x**4/6 + 3*x. Let q(u) be the third derivative of j(u). What is the derivative of q(h) wrt h?
9*h**2
Let n = -167 - -203. Find the second derivative of 20*s**2 + 8*s - s**2 - n*s wrt s.
38
Suppose 2*h - 8 = h - 2*b, 0 = h + 4*b + 2. Find the third derivative of -744*u + h*u**2 - 10*u**5 + 744*u wrt u.
-600*u**2
Let t(c) be the first derivative of 0*c + 0*c**4 - 13 - 1/3*c**3 + 0*c**2 + 1/6*c**6 + 0*c**5. What is the third derivative of t(p) wrt p?
60*p**2
Let y(b) = -104*b**5 - 4*b**3 - 87*b**2 - 2*b + 4. Let u(z) = z**5 - z**3 + 1. Let j(i) = -4*u(i) + y(i). Find the third derivative of j(o) wrt o.
-6480*o**2
Let c(u) be the third derivative of -u**7/105 + 17*u**5/60 - 11*u**3/6 - 39*u**2. Differentiate c(k) wrt k.
-8*k**3 + 34*k
Suppose k = -2*t + 8, -k = -t - 2*k + 5. Suppose -1 = t*b - 7. Find the second derivative of -7*y**4 + 11*y**4 - 8*y + b*y wrt y.
48*y**2
Let x(c) be the third derivative of 13*c**6/40 - c**5/30 + c**4/4 + 27*c**2 + 2. Find the third derivative of x(o) wrt o.
234
What is the third derivative of 171*t**3 + 0 + 0 + 585*t**2 + 4*t**3 + 20*t**3 wrt t?
1170
Find the second derivative of 7 + 13*j**3 + 2 - 5 - 4*j + 32*j**3 - 2*j**2 wrt j.
270*j - 4
Let l(x) be the third derivative of -3*x**7/35 - x**5/12 - 37*x**3/2 + 17*x**2 + 7. Differentiate l(z) wrt z.
-72*z**3 - 10*z
Let l(h) = 3 + 3*h + 3*h - 7*h. Let n be l(3). What is the first derivative of n*y + 3*y + 8 - 6 wrt y?
3
Let z(u) be the third derivative of -u**6/40 + u**5/12 + 43*u**3/3 - 2*u**2 - 11. Differentiate z(r) with respect to r.
-9*r**2 + 10*r
Let s(o) = 6. Let z(l) = -l**2 + 1. Let m(f) = f - 8. Let r be m(0). Let b be (3*r/(-6))/(-1). Let k(h) = b*z(h) + s(h). Differentiate k(t) wrt t.
8*t
Let o = -26 - -28. Let d(s) be the second derivative of 0 + 0*s**4 - 2/3*s**3 - 1/6*s**6 + 0*s**o - 2*s + 0*s**5. What is the second derivative of d(u) wrt u?
-60*u**2
What is the second derivative of 4 - 8 + 16*z**5 + 3*z - 189*z**5 - 13 + 1 wrt z?
-3460*z**3
What is the third derivative of -10*j**5 - 2*j - 2*j**5 - 41*j**2 + 42*j**2 + 28*j**2 wrt j?
-720*j**2
Let k = -26 + 24. Let p(o) = -14*o**3 + 2*o**2 + 24. Let u(l) = 28*l**3 - 5*l**2 - 48. Let f(d) = k*u(d) - 5*p(d). Differentiate f(v) wrt
|
{
"pile_set_name": "DM Mathematics"
}
|
) = 5*f + 1. Let t be (-6)/(-15) - (-115)/25. Suppose 0*b - 2 = t*h + 3*b, -5*h - 10 = -5*b. Calculate u(h).
-4
Let p(q) = 24*q - 20*q + 14*q. Determine p(1).
18
Let o(m) = -m**3 - 6*m**2 - 5*m - 4. Suppose -2*b + 0*b = -4*g + 18, 0 = g - 3*b + 8. Suppose 2*w - 65 = g*w. Let p = w - -8. Calculate o(p).
-4
Let y(a) be the first derivative of -a**2 - 4*a - 9. Calculate y(7).
-18
Suppose -3*z + n + 16 = z, -2*z = 2*n - 8. Let i(r) be the second derivative of 1/6*r**3 + 1/2*r**2 + 0 + 4*r. Give i(z).
5
Let q(p) = 6*p + 2*p + 3 + p**2 - 2*p**2 - 9. Calculate q(8).
-6
Let l(o) = -o**2 - 6*o - 4. Suppose -3 = j + 1. Give l(j).
4
Let k(g) = 2*g + 4. Suppose 19 = u - 2*u - 4*d, 2*d = u - 5. Let t be k(u). Let j(f) = -f**2 + 2*f**3 + 1 + 1 + 6*f - 2*f + 5*f**2. What is j(t)?
-6
Suppose -n = 3*n - 12. Let m(o) = -2*o - n*o + 3 + o. Determine m(3).
-9
Suppose -5*s = 4*c - 56 + 23, -2*c + 4*s = 16. Let n(o) = c*o**2 + o**2 + 3*o - 4*o**2 + 7. Let l = 2 + 3. Determine n(l).
-3
Let o = 4 + -3. Let x(n) = -n + 1 - o. Give x(2).
-2
Let f be 4 + 0 - 0 - 2. Suppose -3*g = f*g. Let h(p) = -p**2 - p - 10. Determine h(g).
-10
Let h(j) = j**3 + 5*j**2 + 4*j. Let k be h(-4). Suppose 2*w + k*w = x - 7, -5*w = x. Suppose -11 + 1 = -x*s. Let c(d) = -d**3 + d**2 - 2*d + 3. Give c(s).
-5
Let f(t) = t**3 - t**2 + t - 15. Let c be (1 - 0) + (6 - 7). Give f(c).
-15
Suppose 0*p = -6*p. Let z(d) = 5*d - 1. Let c(x) = 11*x - 3. Let j(i) = 4*c(i) - 9*z(i). Calculate j(p).
-3
Suppose 0 = -0*a + 5*a. Let c(o) = -o + 9. Calculate c(a).
9
Suppose -5*r = -5*q, 2*r + q - 16 = -q. Let j(u) be the third derivative of 1/8*u**r + 0 + 0*u + 4*u**2 + 1/6*u**3. What is j(2)?
7
Let t(z) be the second derivative of -5/24*z**4 - 1/360*z**6 - 1/120*z**5 + 0*z**2 - 1/3*z**3 + 0 + z. Let s(v) be the second derivative of t(v). Give s(0).
-5
Let h(w) = 2*w**2 - 5*w + 10. Let c(b) = b + 3 + b**2 + 2 - 4*b. Let j(v) = 5*c(v) - 2*h(v). What is j(5)?
5
Let t(r) = -6*r - 2 - 5*r**2 - 4 + 4 + r**3. Let j(m) = 2*m - 6. Let a be j(6). Calculate t(a).
-2
Suppose 3*z - 92 = -z. Let v = z + -18. Let h(a) = -a + 6. Give h(v).
1
Let a be -1 + (-1)/(-1) + 4. Let t(n) = -n - 4*n**2 + n**3 - a*n**2 + 4*n**2 + 0*n**2 + 3. Determine t(4).
-1
Let i(r) = -r - 3. Let j be ((-4)/(-6))/((-16)/72). Determine i(j).
0
Let s(m) = -m**2 + m + 5. Let d(y) = 2*y - 1. Suppose 6*c - 5*c + 1 = 0. Let v be d(c). Let o(z) = -2*z**2 + z + 9. Let f(j) = v*o(j) + 5*s(j). What is f(-3)?
1
Let m(o) = -o**2 + 7*o - 5. Let d be -2 + (-1)/(1/(-6)). Suppose 3*b - 14 = d. Calculate m(b).
1
Let c = -58 - -62. Let a(m) = m + 2. Calculate a(c).
6
Let t(f) = -f**3 + 5*f**2 - 3. Suppose -6 = -n + 4*x - 2*x, 22 = 5*n - 2*x. Let z = 9 - n. Calculate t(z).
-3
Let s(v) = 2*v - 4 + 0*v**3 + 6*v**2 + 2*v + v**3 - 6*v. What is s(-6)?
8
Let w(x) = -x**3 + 5*x**2 - 2*x - 1. Suppose 0*z = -6*z + 18. What is w(z)?
11
Let v = -21 - -13. Let f(b) be the first derivative of b**3/3 + 4*b**2 + 3*b - 4. What is f(v)?
3
Suppose 28 + 20 = -6*m. Let t(n) = n**2 + 9*n + 8. What is t(m)?
0
Let b(a) = -7*a**2 - 11*a + 3. Let x(f) = -10*f**2 - 16*f + 4. Let l = 8 + -13. Let d(h) = l*x(h) + 7*b(h). Let j be -4*((-3)/(-2))/3. Calculate d(j).
-1
Suppose -r = -5*n - 2, 4*n - 4*r = -n - 8. Let j(p) = -p + n*p + 1 + 4*p**2 + 2*p - p**3. Suppose 0 = -q + 5, 0 = -4*m + 2*q + 6. Determine j(m).
5
Let j(v) be the third derivative of 0 - 1/6*v**3 - 3*v**2 + 0*v - 1/24*v**4. Determine j(2).
-3
Let g be 6/(-4)*(-110)/15. Let u(z) = z - 7. What is u(g)?
4
Let h(v) = -5*v + 1. Let x be ((-5)/(-15))/(2/(-6)). Give h(x).
6
Suppose v + 0*v = -3. Let p(z) = 9*z - 13. Let n(b) = 4*b - 6. Let h(i) = v*p(i) + 7*n(i). Determine h(4).
1
Let d(k) = -2*k**2 - 8*k + 9. Let n(w) = w**2 + 7*w - 8. Let i be ((-15)/(-2))/((-5)/(-10)). Suppose -3 + i = 4*s. Let t(f) = s*n(f) + 2*d(f). Determine t(5).
-6
Suppose 0 = -0*t - 2*t + 4*p + 12, 0 = -2*t + 5*p + 16. Let c(i) = 0 + 0*i + i**3 - 2*i - i**2 - 2*i**3 + 1. Determine c(t).
9
Let j(c) = c**3 - 4*c**2 + 1. Suppose s + 3*s + 36 = 0. Let g be s/6 + 1/(-2). Let b be (-8)/g*(-2)/(-2). Calculate j(b).
1
Let j(c) = -c**3 - 5*c**2 - 5*c - 6. Suppose -5*f - 8 + 3 = 0. Let h be 4/(f*(-1)/(-1)). What is j(h)?
-2
Let d(q) be the first derivative of -q**6/120 + q**5/10 - 5*q**4/24 + q**3/2 + q**2 + 1. Let s(m) be the second derivative of d(m). Calculate s(5).
3
Let z(m) be the second derivative of m - 1/6*m**3 + 1/2*m**2 + 0. What is z(5)?
-4
Let q(f) be the first derivative of 3*f**2/2 + f - 3. Let z be q(-2). Let i(h) = -h**2 - 4*h + 7. Give i(z).
2
Suppose -y + 9 = 4*a, 3*y - 13 = 2. Let b(h) = a - h**2 - 6*h - h**3 - 4 + 0 - 4*h**2. Calculate b(-4).
5
Suppose 29 = -x - 0. Let v = x + 41. Let l(r) = -r**3 + 11*r**2 + 11*r + 16. Let o be l(v). Let d(s) = s**2 - 3*s. Calculate d(o).
4
Let i(r) = -7*r**2 + 10*r + 9. Let y(l) = 4*l**2 - 5*l - 4. Let d = -3 + -2. Let m(b) = d*y(b) - 3*i(b). Give m(5).
-7
Let x be (10/(-4))/(60/(-48)). Let p be 1 + 2/2 + 0. Let n(h) = 2*h**p - 1 + h + h - h. What is n(x)?
9
Let w(f) = -6*f**2 - 5 + 7*f**2 - f + 0*f. Give w(0).
-5
Let u = -8 - -20. Let q be (u/(-10))/(-3)*-10. Let b(j) = 1. Let v(l) = -l**2 - 4*l + 2. Let f(y) = b(y) - v(y). Calculate f(q).
-1
Let x(a) = -7*a**2 + 6*a - 1. Let z(k) = -7*k**2 + 5*k - 1. Let r(d) = 3*x(d) - 4*z(d). What is r(1)?
6
Let y(p) = -8*p**3 + 14*p**2 + 8*p - 14. Let a(z) = 3*z**3 - 5*z**2 - 3*z + 5. Let f(c) = 11*a(c) + 4*y(c). Determine f(-1).
0
Let x(v) be the second derivative of -v**5/20 + v**4/2 - 4*v**3/3 + 5*v**2/2 + 2*v - 36. Give x(5).
-10
Let r(g) be the third derivative of -g**4/12 + g**2. Let v be 34/(-8) + 7/28. Give r(v).
8
Let s(g) = -9*g - 3. Let q(o) = -4*o - 2. Let c(j) = -7*q(j) + 3*s(j). Calculate c(-6).
-1
Let g(u) = -u**3 + u**2 - 6*u - 1. Let m(s) = 2*s**3 - 2*s**2 + 11*s + 2. Suppose d = -q + 3, 3*q + 2*d - 3 = 9. Let c(k) = q*m(k) + 11*g(k). Determine c(1).
1
Let g(t) be the second derivative of -t**4/12 + t**3/2 - 2*t**2 + t. Let a(d) = -d + 14. Let w be a(10). What is g(w)?
-8
Let c = -5 - -8. Let w(g) = c - 3 + 8*g**2 - 1. Calculate w(-1).
7
Suppose 0 = -3*t + 5*t - 12. Let w(n) = n + 2. Let l be w(-2). Let z = l - t. Let b(a) = -a**3 - 7*a**2 - 5*a + 2. What is b(z)?
-4
Let a(j) = -2*j. Suppose -6 = -4*p + 10. Let u = p + -5. Calculate a(u).
2
Let l(f) = -3*f**3 - 9*f**2 - 8*f + 3. Let p(n) = 8*n**3 + 26*n**2 + 24*n - 10. Let r(c) = -11*l(c) - 4*p(c). Suppose 20 = 5*b - 10. Determine r(b).
-5
Suppose 2*p = 3*v + 38, -3*v = 2*v + 2*p + 74. Let l = 18 + v. Let q(m) = m. Determine q(l).
4
Let n be 4/1 + (-1 - 1). Let i(p) = -2 + 2*p - 5*p + n*p. Calculate i(-2).
0
Let h(c) = 2*c - 12. Let k = -12 - -20. Let t be h(k). Let b(z) = -z + 3. What is b(t)?
-1
Suppose 0*v = 3*v. Let p(d) be the third derivative of -2/3*d**3 - 2*d**2 + 1/60*d**5 - 1/24*d**4 + 0*d + 1/120*d**6 + v. Give p(0).
-4
Let l(j) = 7*j - 14. Let h(w) = -2*w + 2. Let p(f) = 4*h(f) + l(f). Suppose -4*u + 0*u + 12 = 0, -5*s = 4*u - 17. Let r be (-1 + s - -1)*-4. Determine p(r).
-2
Let k be (-3)/3*2*-1. Let o(s) be the second derivative of -1/12*s**4 + 1/2*s**3 - s**2 + 0 + k*s. Determine o(4).
-6
Let j(c) be the second derivative of 0*c**2 + 3*c + 0 + 1/6*c**3. Let d = 2 + 4. What is j(d)?
6
Let q = 1 + -1. Suppose q*u = -4*u. Let c(h) = -h - 3. Determine c(u).
-3
Let o(n) = -11*n**2 + 11*n + 25. Suppose -25 = 3*r + 14. Let b(h) = 5*h**2 - 5*h - 12. Let z(d) = r*b(d) - 6*o(d). What is z(0)?
6
Let o(v) = v + 3. Let i(a) = -a**2 - 4*a + 5. Let w be 9/(-2) + 3/6. Let g be i(w). What is o(g)?
8
Let m = 23 - 24. Let x(j) = 7*j**3 + j**2 - 1. Determine x(m).
-7
Let k(i) = i**2 - 2. Let o(j) = j**2 - 5*j + 7. Suppose 0*p - 4*p + 16 = 0. Let u be o(p). Give k(u).
7
Let y = 1 + -2. Let p(g) = -3*g - 10. Let q be p(-7). Let k(s) = -32*s**2 + 8*s. Let d(m) = 11*m**2 - 3*m. Let j(i) = q*d(i) + 4*k(i). Determine j(y).
-6
Suppose -5*y = -8*y, 5*y + 8 = 2*h. Let f(l) = -2*l + 5. Give f(h).
-3
Let z(t) = 7 - 7 - 7*t. Let u(v) = -3*v - 2. Let j be u(-2). Suppose -2*s = 4*p + j, -2*p + 5*p + 13 = -4*s. What is z(p)?
-7
Let r = 8 + -6. Let f = r - 0. Let q be f/8 - 51/12. Let b(k) = k**2 + 4*k + 3. Determine b(q).
3
Let q(z) = -1. Suppose 25 - 6 = 3*l - 4*r, -2*l + 4*r = -18. Let v(i) = -i - 3. Let x(h) = l*v(h) - 6*q(h
|
{
"pile_set_name": "DM Mathematics"
}
|
129?
True
Does 64 divide 3806912?
True
Does 189 divide 5240851?
False
Is 20022155 a multiple of 48?
False
Is 167 a factor of 14571919?
True
Does 61 divide 1928953?
False
Does 260 divide 3415631?
False
Is 3 a factor of 3561469?
False
Is 54 a factor of 199100?
False
Is 198 a factor of 856548?
True
Is 10008 a multiple of 24?
True
Does 109 divide 694672?
False
Is 29 a factor of 671176?
True
Is 36845 a multiple of 5?
True
Does 79 divide 1226791?
True
Is 1934350 a multiple of 56?
False
Is 500 a factor of 2008107?
False
Is 522 a factor of 326365?
False
Does 730 divide 6640321?
False
Is 72 a factor of 460420?
False
Is 20301813 a multiple of 1141?
True
Does 30 divide 2138303?
False
Is 1250 a factor of 4313750?
True
Does 73 divide 4396352?
True
Does 10 divide 125966?
False
Is 490620 a multiple of 255?
True
Is 9 a factor of 487122?
False
Does 113 divide 4474574?
True
Is 316 a factor of 30652?
True
Is 58377 a multiple of 183?
True
Is 4 a factor of 196532?
True
Does 209 divide 126654?
True
Is 651555 a multiple of 15?
True
Does 105 divide 1940820?
True
Is 2 a factor of 987?
False
Does 39 divide 2111265?
True
Is 2331503 a multiple of 145?
False
Is 5190591 a multiple of 102?
False
Does 31 divide 12412050?
False
Does 21 divide 20606404?
False
Is 6458532 a multiple of 8?
False
Does 44 divide 4083156?
True
Is 5639058 a multiple of 27?
True
Is 30 a factor of 22980?
True
Is 467616 a multiple of 8?
True
Does 21 divide 2269281?
True
Is 39 a factor of 516711?
True
Does 259 divide 43512?
True
Does 8 divide 565401?
False
Is 20 a factor of 68296?
False
Is 190 a factor of 18978?
False
Is 3052860 a multiple of 82?
True
Does 32 divide 158784?
True
Does 68 divide 1017212?
True
Is 2602841 a multiple of 170?
False
Is 119 a factor of 45600?
False
Does 1521 divide 1252324?
False
Is 1783620 a multiple of 324?
True
Is 199423 a multiple of 217?
True
Is 276 a factor of 977247?
False
Does 105 divide 6550110?
True
Is 113 a factor of 1166103?
False
Is 6 a factor of 949584?
True
Does 31 divide 1093753?
False
Is 13 a factor of 1037036?
True
Does 275 divide 632270?
False
Is 99 a factor of 266112?
True
Is 160 a factor of 306094?
False
Is 641695 a multiple of 137?
False
Is 4587946 a multiple of 7?
False
Is 326556 a multiple of 23?
False
Does 2217 divide 23894826?
True
Is 50011 a multiple of 331?
False
Does 187 divide 97988?
True
Does 13 divide 7501?
True
Is 177 a factor of 111002?
False
Does 155 divide 3050227?
False
Is 1553172 a multiple of 144?
False
Is 372294 a multiple of 37?
True
Is 53 a factor of 168328?
True
Is 109 a factor of 252880?
True
Does 9 divide 7461?
True
Is 356 a factor of 4072260?
False
Is 114 a factor of 2770238?
False
Is 50 a factor of 61538?
False
Is 37129 a multiple of 4?
False
Is 25 a factor of 394750?
True
Does 43 divide 1406633?
False
Is 2830997 a multiple of 83?
False
Is 106619 a multiple of 132?
False
Is 13 a factor of 57694?
True
Is 23 a factor of 1210329?
True
Is 934 a factor of 942406?
True
Does 29 divide 13978?
True
Does 1404 divide 5632848?
True
Is 26 a factor of 158420?
False
Is 7 a factor of 1962776?
False
Does 28 divide 2729?
False
Is 61636 a multiple of 76?
True
Does 16 divide 15617795?
False
Is 1710801 a multiple of 529?
False
Is 594 a factor of 369468?
True
Is 679 a factor of 188083?
True
Is 467 a factor of 186626?
False
Is 175760 a multiple of 208?
True
Is 60 a factor of 109989?
False
Is 301868 a multiple of 8?
False
Is 11678 a multiple of 3?
False
Does 15 divide 201105?
True
Is 10 a factor of 1984?
False
Is 4 a factor of 30456?
True
Is 1359909 a multiple of 9?
True
Is 200392 a multiple of 19?
False
Is 29 a factor of 13472240?
True
Does 157 divide 5029296?
False
Is 779 a factor of 1344543?
False
Is 902499 a multiple of 38?
False
Does 968 divide 2787840?
True
Is 2171463 a multiple of 23?
False
Does 7 divide 2228569?
True
Does 208 divide 2533648?
True
Does 5 divide 161160?
True
Is 686125 a multiple of 125?
True
Is 25 a factor of 433538?
False
Is 94 a factor of 7179532?
True
Is 123020 a multiple of 4?
True
Is 115 a factor of 61295?
True
Is 11204614 a multiple of 35?
False
Does 425 divide 654500?
True
Is 2053725 a multiple of 924?
False
Is 196 a factor of 4322237?
False
Does 91 divide 390648?
False
Does 17 divide 340453?
False
Does 23 divide 1192726?
False
Is 21 a factor of 6004146?
False
Does 56 divide 13768482?
False
Does 7 divide 13915?
False
Is 10 a factor of 2273532?
False
Is 17299116 a multiple of 279?
True
Does 186 divide 1260345?
False
Is 138 a factor of 463680?
True
Is 3621453 a multiple of 11?
True
Is 17 a factor of 1664612?
False
Is 152147 a multiple of 12?
False
Is 761691 a multiple of 23?
True
Does 14 divide 1509385?
False
Is 879786 a multiple of 333?
True
Does 38 divide 114798?
True
Does 298 divide 1735850?
True
Is 3 a factor of 9807?
True
Is 10099 a multiple of 3?
False
Is 491346 a multiple of 314?
False
Does 112 divide 79072?
True
Does 7 divide 25053?
True
Does 14 divide 6920?
False
Does 64 divide 84690?
False
Is 19 a factor of 1879577?
False
Is 19 a factor of 1301196?
True
Does 11 divide 292171?
True
Does 99 divide 839223?
True
Is 223 a factor of 147850?
False
Is 11 a factor of 404290?
False
Is 4721692 a multiple of 83?
False
Does 7 divide 4487?
True
Is 39 a factor of 19554?
False
Is 3503755 a multiple of 107?
False
Is 5237387 a multiple of 12?
False
Does 86 divide 948322?
True
Is 12 a factor of 2117327?
False
Is 26 a factor of 65208?
True
Does 23 divide 254872?
False
Is 461 a factor of 1029413?
True
Is 12 a factor of 1406?
False
Is 707760 a multiple of 80?
True
Does 37 divide 2172861?
False
Is 101 a factor of 5196374?
False
Does 122 divide 246259?
False
Is 5 a factor of 231991?
False
Is 26 a factor of 80938?
True
Is 283955 a multiple of 567?
False
Does 43 divide 4696017?
False
Is 550 a factor of 12021432?
False
Is 226 a factor of 1388996?
True
Is 5 a factor of 67176?
False
Does 253 divide 1612875?
True
Does 18 divide 705924?
True
Is 8 a factor of 1692?
False
Does 5 divide 2729645?
True
Is 61 a factor of 11256147?
True
Is 776650 a multiple of 32?
False
Is 9 a factor of 114630?
False
Is 932258 even?
True
Is 80 a factor of 60360?
False
Is 65 a factor of 44135?
True
Does 377 divide 56550?
True
Is 8752619 a multiple of 1479?
False
Is 990 a factor of 1111825?
False
Does 32 divide 404131?
False
Is 5639516 a multiple of 18?
False
Does 91 divide 103214?
False
Does 91 divide 4425876?
True
Does 25 divide 42115?
False
Does 215 divide 1503710?
True
Does 20 divide 15966?
False
Is 236 a factor of 343380?
True
Does 7 divide 5042840?
False
Is 1455852 a multiple of 685?
False
Is 125 a factor of 719907?
False
Is 13 a factor of 2421120?
True
Does 209 divide 992123?
True
Is 160 a factor of 47360?
True
Does 12 divide 246720?
True
Is 104810 a multiple of 180?
False
Is 6820800 a multiple of 245?
True
Is 142066 a multiple of 4?
False
Is 542 a factor of 500266?
True
Is 168 a factor of 1244376?
True
Is 2058507 a multiple of 99?
True
Is 1696924 a multiple of 87?
False
Is 80964 a multiple of 39?
True
Is 46 a factor of 59248?
True
Does 628 divide 492860?
False
Is 119 a factor of 493374?
True
Does 25 divide 15473375?
True
Is 3999992 a multiple of 1016?
True
Does 17 divide 100226?
False
Is 4220747 a multiple of 57?
False
Is 10 a factor of 2761610?
True
Does 12 divide 171070?
False
Does 7 divide 710850?
True
Is 4 a factor of 589488?
True
Does 7 divide 68516?
True
Is 110 a factor of 114683?
False
Does 12 divide 220281?
False
Is 22 a factor of 863332?
False
Is 12391 a multiple of 398?
False
Is 1324388 a multiple of 8?
False
Is 292602 a multiple of 72?
False
Is 55743 a multiple of 30?
False
Is 2570467 a multiple of 26?
False
Is 79808 a multiple of 8?
True
Does 196 divide 3287312?
True
Does 52 divide 165697?
False
Is 8496 a multiple of 177?
True
Is 79478 a multiple of 4?
False
Does 31 divide 102757?
False
Does 191 divide 142980?
False
Is 137 a factor of 9552325?
True
Does 341 divide 1492898?
True
Is 10 a factor of 863769?
False
Is 19320 a multiple of 120?
True
Is 25056 a multiple of 87?
True
Does 216 divide 245037?
False
Is 734 a factor of 552702?
True
Is 1333568 a multiple of 8?
True
Is 1036295 a multiple of 535?
True
Is 278 a factor of 1699369?
False
Is 12533130 a multiple of 27?
True
Is 4 a factor of 112768?
True
Is 211 a factor of 2936508?
False
Does 2 divide 2115?
|
{
"pile_set_name": "DM Mathematics"
}
|
ue
Is 801150 a multiple of 14?
True
Is 873 a factor of 2213514?
False
Is 5 a factor of 295375?
True
Is 15 a factor of 84465?
True
Is 134 a factor of 492107?
False
Is 404298 a multiple of 54?
True
Is 81732 a multiple of 196?
True
Does 11 divide 2159960?
True
Is 79 a factor of 170581?
False
Does 376 divide 520008?
True
Is 2257790 a multiple of 287?
False
Does 35 divide 7840?
True
Does 286 divide 8795?
False
Does 184 divide 1578536?
True
Is 65 a factor of 170625?
True
Does 9 divide 1380573?
True
Is 640104 a multiple of 716?
True
Is 29 a factor of 2812797?
True
Is 2526970 a multiple of 100?
False
Does 533 divide 3314225?
False
Is 109403 a multiple of 6?
False
Does 35 divide 52049?
False
Is 494 a factor of 82141?
False
Is 1470265 a multiple of 92?
False
Is 853553 a multiple of 17?
True
Does 57 divide 379558?
False
Is 412191 a multiple of 271?
True
Does 44 divide 4307160?
True
Is 116 a factor of 279683?
False
Is 25539 a multiple of 33?
False
Is 39780 a multiple of 130?
True
Does 298 divide 396314?
False
Does 315 divide 1836450?
True
Is 194171 a multiple of 57?
False
Is 934 a factor of 4953036?
False
Is 510810 a multiple of 5?
True
Does 110 divide 422883?
False
Does 445 divide 14854207?
False
Is 788049 a multiple of 243?
True
Is 1145093 a multiple of 82?
False
Does 809 divide 519378?
True
Is 338662 a multiple of 58?
True
Is 71 a factor of 3368544?
False
Is 484165 a multiple of 23?
False
Is 384569 a multiple of 49?
False
Is 8205 a multiple of 12?
False
Does 86 divide 1653608?
True
Is 108 a factor of 657936?
True
Is 5943973 a multiple of 719?
True
Is 15770699 a multiple of 481?
False
Is 26 a factor of 1065064?
True
Does 617 divide 265302?
False
Is 13975 a multiple of 4?
False
Is 392 a factor of 36856?
False
Is 192 a factor of 7557312?
True
Is 453672 a multiple of 36?
True
Does 49 divide 127057?
True
Is 255640 a multiple of 11?
True
Is 1826 a factor of 2249632?
True
Is 72 a factor of 23386?
False
Is 234 a factor of 287820?
True
Is 210 a factor of 123900?
True
Is 555 a factor of 1666127?
False
Is 229 a factor of 4836312?
False
Is 102 a factor of 1601298?
True
Is 27 a factor of 1275196?
False
Does 116 divide 2128020?
True
Does 44 divide 719761?
False
Is 1377 a factor of 2733941?
False
Is 22110 a multiple of 30?
True
Is 53262 a multiple of 9?
True
Does 11 divide 22676203?
True
Is 347 a factor of 1132955?
True
Is 2 a factor of 668?
True
Does 81 divide 99607?
False
Is 34 a factor of 108188?
True
Does 4 divide 2381?
False
Does 324 divide 186624?
True
Does 521 divide 914355?
True
Is 232943 a multiple of 284?
False
Does 4 divide 154148?
True
Is 14 a factor of 263302?
False
Does 53 divide 746378?
False
Is 425 a factor of 7262400?
True
Is 4814040 a multiple of 33?
True
Is 20 a factor of 19192?
False
Does 14 divide 5487454?
True
Does 18 divide 402611?
False
Does 11 divide 2100857?
True
Is 1296533 a multiple of 23?
True
Is 115448 a multiple of 27?
False
Does 7 divide 30653?
True
Is 295 a factor of 644870?
True
Is 325 a factor of 121201?
False
Is 64 a factor of 122752?
True
Is 1082 a factor of 3479712?
True
Is 51 a factor of 1489812?
True
Is 2987648 a multiple of 512?
False
Does 749 divide 3104954?
False
Is 5 a factor of 1131069?
False
Does 5 divide 10365?
True
Does 28 divide 1855268?
False
Is 3449547 a multiple of 81?
True
Is 1158575 a multiple of 275?
True
Is 9 a factor of 213220?
False
Does 26 divide 224234?
False
Is 133032 a multiple of 23?
True
Is 12996 a multiple of 342?
True
Does 555 divide 147630?
True
Is 60071 a multiple of 63?
False
Is 7 a factor of 2217841?
False
Is 28 a factor of 5336747?
False
Does 17 divide 1129947?
False
Does 174 divide 161984?
False
Is 17574084 a multiple of 444?
False
Is 121390 a multiple of 10?
True
Does 3 divide 2025819?
True
Does 72 divide 201257?
False
Is 2463650 a multiple of 70?
True
Is 2860896 a multiple of 204?
True
Is 1185553 a multiple of 349?
True
Is 40 a factor of 3432560?
True
Is 9000 a multiple of 36?
True
Is 267 a factor of 265847?
False
Is 195 a factor of 1250708?
False
Does 16 divide 7630432?
True
Is 145488 a multiple of 14?
True
Does 101 divide 37875?
True
Is 152915 a multiple of 57?
False
Does 107 divide 26643?
True
Is 394 a factor of 223382?
False
Is 4374 a multiple of 243?
True
Does 66 divide 886047?
False
Is 7531028 a multiple of 112?
False
Does 197 divide 211184?
True
Is 17 a factor of 929577?
True
Is 15 a factor of 405870?
True
Does 76 divide 132872?
False
Does 62 divide 13210503?
False
Is 85 a factor of 194990?
True
Is 246288 a multiple of 12?
True
Is 2091 a factor of 2379558?
True
Does 114 divide 94848?
True
Does 496 divide 1271744?
True
Is 82 a factor of 228630?
False
Does 340 divide 357340?
True
Does 65 divide 447887?
False
Is 12 a factor of 7491924?
True
Does 28 divide 625585?
False
Is 8841 a multiple of 21?
True
Is 99 a factor of 933075?
True
Does 45 divide 3010060?
False
Does 79 divide 1615945?
True
Does 43 divide 35888?
False
Is 699212 a multiple of 268?
True
Does 43 divide 1856525?
True
Is 79 a factor of 81765?
True
Does 1785 divide 6409935?
True
Does 9 divide 120015?
True
Does 92 divide 1105196?
True
Is 352 a factor of 683070?
False
Is 73 a factor of 19643?
False
Does 13 divide 237452?
False
Is 149 a factor of 448717?
False
Is 76 a factor of 180196?
True
Does 8 divide 44807?
False
Is 213 a factor of 567645?
True
Is 273 a factor of 652518?
False
Is 78 a factor of 80782?
False
Is 58 a factor of 969807?
False
Does 10 divide 49101?
False
Is 1078956 a multiple of 123?
True
Is 1552298 a multiple of 11?
True
Does 12 divide 6836018?
False
Is 4 a factor of 112444?
True
Is 424 a factor of 5098593?
False
Does 59 divide 440184?
False
Is 37416 a multiple of 40?
False
Is 46 a factor of 24021751?
False
Is 174113 a multiple of 157?
True
Is 1440466 a multiple of 34?
False
Is 23184 a multiple of 72?
True
Is 8335 a multiple of 15?
False
Does 29 divide 483022?
False
Is 15863484 a multiple of 34?
False
Does 63 divide 1466262?
True
Is 454062 a multiple of 28?
False
Does 12 divide 2641550?
False
Is 145856 a multiple of 344?
True
Is 387873 a multiple of 27?
False
Is 1646340 a multiple of 46?
True
Is 9448068 a multiple of 28?
True
Does 28 divide 883131?
False
Is 6885900 a multiple of 700?
True
Is 174 a factor of 340328?
False
Does 162 divide 75168?
True
Is 58482 a multiple of 18?
True
Does 167 divide 297211?
False
Does 4 divide 99628?
True
Is 543469 a multiple of 10?
False
Is 164 a factor of 40218?
False
Is 366 a factor of 195810?
True
Is 485 a factor of 1974435?
True
Is 1812748 a multiple of 101?
True
Is 2146526 a multiple of 836?
False
Is 430722 a multiple of 32?
False
Is 17037 a multiple of 14?
False
Is 4083534 a multiple of 102?
False
Is 24091651 a multiple of 1588?
False
Is 345709 a multiple of 91?
True
Is 653 a factor of 208307?
True
Is 282044 a multiple of 17?
False
Is 121776 a multiple of 129?
True
Is 12 a factor of 32887064?
False
Is 6 a factor of 5839794?
True
Is 162412 a multiple of 4?
True
Does 16 divide 46897?
False
Is 34 a factor of 179951?
False
Is 125 a factor of 1521500?
True
Does 35 divide 836291?
False
Does 8 divide 82748?
False
Does 50 divide 296250?
True
Is 7097684 a multiple of 158?
False
Is 427 even?
False
Is 2188741 a multiple of 19?
False
Is 6104157 a multiple of 913?
False
Is 3893981 a multiple of 637?
True
Does 22 divide 322278?
True
Does 382 divide 6631531?
False
Is 265024 a multiple of 6?
False
Does 233 divide 7230475?
False
Does 1415 divide 5272990?
False
Is 28 a factor of 31516?
False
Is 140 a factor of 418600?
True
Is 322 a factor of 1387400?
False
Does 651 divide 852936?
False
Is 72 a factor of 108052?
False
Does 308 divide 2339260?
True
Does 63 divide 384801?
False
Does 12 divide 804517?
False
Is 143 a factor of 1053753?
False
Is 27 a factor of 523746?
True
Is 23710 a multiple of 173?
False
Is 26 a factor of 283478?
True
Is 18 a factor of 773090?
False
Does 11 divide 117777?
True
Is 276050 a multiple of 4?
False
Is 12 a factor of 3104960?
False
Is 5400 a multiple of 3?
True
Is 324 a factor of 18144?
True
Is 6222851 a multiple of 468?
False
Does 20 divide 97786?
False
Does 80 divide 1333189?
False
Is 190457 a multiple of 73?
True
Does 498 divide 327186?
True
Does 631 divide 291748?
False
Is 4 a factor of 3194894?
False
Is 4891440 a multiple of 60?
True
Does 23 divide 290633?
False
Is 44
|
{
"pile_set_name": "DM Mathematics"
}
|
0.05 (b) m (c) 6.1
a
Let d = -0.2804 - 0.1196. Let f = -247.1 + 232. Let a = -15 - f. What is the fourth smallest value in -5, 14, a, d?
14
Let l be (-5)/(1 + 10/2)*(-39)/(-130). What is the fifth smallest value in -0.5, 4, -3, l, -0.05?
4
Let q be ((-66)/385)/(56/(-196)). Which is the biggest value? (a) q (b) -884 (c) 3 (d) 4
d
Suppose -356*l + 403*l = 94. Let w = -2275/9 + 253. Which is the fourth biggest value? (a) l (b) -1.71 (c) 0.5 (d) w
b
Let q = 310.9908 - -0.0092. Let v = 313.5 - q. What is the smallest value in -3, 0.5, v?
-3
Let q = 387 - 161. Let v = -2936/13 + q. Let b be 4*1 - ((-608)/(-72) - 4). What is the biggest value in b, 2, 5, v?
5
Let o be (99/(-45) - -2)*5/2. Which is the biggest value? (a) -1.1 (b) 1/2 (c) o
b
Let z = 0.1347 - 0.1647. Which is the biggest value? (a) -0.1 (b) z (c) 4/19
c
Let x = -227 - -225.41. Let b = x - -1.6. Let j be (-96)/1512*14/(-4). What is the second biggest value in j, 0.4, b?
j
Let f = -73004 - -73000. Let z = -3 + 3.2. What is the third smallest value in z, 3, f, -0.2?
z
Let k = 4626 + -41630/9. What is the fourth biggest value in -4, 0.4, k, -13, -0.02?
-4
Let z be (-63)/(-189) - 3/18. Let u be (-18)/(-6) + (-16)/6. Let w be -2 + -1 + (-63)/(-7). What is the third biggest value in w, z, u?
z
Let u(l) = 11*l - 122. Let b be u(32). Let h = b - 228. What is the second biggest value in h, 107, -5?
h
Let m = 22.963 + -23.463. What is the second smallest value in -6, -0.2, 0.09, m, -1?
-1
Let t = -0.6 + 4.6. Let k = -34242 + 34249. What is the fourth smallest value in -1, t, -5, k?
k
Suppose 0 = -14*r + 18 - 88. Let m be 2/3 - 3/(-36). Which is the second smallest value? (a) -0.07 (b) 0.6 (c) m (d) r
a
Let n = 4240.04 + -4240. Which is the smallest value? (a) -16 (b) n (c) 2
a
Suppose -4*l + 3761 = 3773. Which is the second smallest value? (a) l (b) 1 (c) 0.32
c
Let m = -0.0546 + -3.2454. Let n = -3.1 - m. Which is the second biggest value? (a) 0.3 (b) n (c) 1/24
b
Let o = 0.1897794 + 0.0102206. Let z = 5 - 3. Let f be (z/(-5))/((-9)/(-15)). Which is the second smallest value? (a) o (b) f (c) -34
b
Let g = 5834 - 5833.91. What is the second biggest value in 0, g, -0.18, 0.3?
g
Let t = -42 - -56.4. Let m = t + -14. Let g = 144/109 - 5686/4469. Which is the third biggest value? (a) 0.1 (b) m (c) g
c
Let u = 28 - 25. Let p be ((-825)/(-57))/5 - 9/u. Let z = 6 - 5. Which is the third biggest value? (a) z (b) 0.4 (c) 5 (d) p
b
Let y = -4334 - -4342. What is the second biggest value in -0.2, -3/7, y, 6?
6
Let t be (-273)/(-21) + (-2666)/215. Let v = 2 + -2.4. Which is the smallest value? (a) v (b) 5 (c) t (d) -4/13
a
Let m = 65 + -76. Let f = m + 48. Let g = f + -40. Which is the second biggest value? (a) -1/7 (b) g (c) -2/3 (d) 0.3
a
Let y be (-8)/2 + 7/(-3332)*-2219. Let v = 24/17 - y. Which is the biggest value? (a) v (b) 2/11 (c) 6/5
c
Let u = -9.734 + -0.166. Let m = 5.9 + u. Let t be 24/(-27)*3/6. Which is the biggest value? (a) -3/5 (b) m (c) t (d) -2/5
d
Suppose -5*g + 13 = 33. Let r be 1*-1*g/(-36). Suppose -14*z + 2491 - 2421 = 0. Which is the smallest value? (a) r (b) 3 (c) -3 (d) z
c
Suppose n + 30 = 6*n. Let f be (-1)/(-3) + (-74)/n. Suppose 0 = -5*r - 5*m + 5, r + 2*m - 9 = -5. What is the biggest value in f, r, 0?
0
Let t = 30533 + -122131/4. What is the biggest value in 0, -9/62, t?
t
Let s = 270 + -276. Suppose -26*m - 44 = -28*m. Suppose 16 = -4*i - 2*w, 2*i = -2*i - 5*w - m. Which is the biggest value? (a) s (b) -0.2 (c) -0.3 (d) i
b
Let f = 7894.88 - 7896. Let o = -0.06 - -4.18. Let t = o + f. What is the third biggest value in 1/5, t, -0.2?
-0.2
Let p be (154/(-70) - -1)/(9/15). What is the third smallest value in -0.2, 3, p, -4?
-0.2
Let w = -101178 - -101078.993. Let r = 99 + w. Which is the third smallest value? (a) r (b) -1/2 (c) -0.4
a
Suppose -28*l + 3*j - 15 = -24*l, -2*l = 5*j + 1. What is the third smallest value in -4, -0.066, l?
-0.066
Let x = -0.2 + -0.8. Let m = -127 - -632/5. Let g = 68967/4 - 17242. Which is the second smallest value? (a) 4 (b) x (c) g (d) m
d
Let h = 598.9 - 636. Let u = 37 + h. Let o = -39 - -27. Which is the biggest value? (a) o (b) -0.3 (c) 2 (d) u
c
Let f = -692/465 + 42/31. What is the fourth biggest value in 0, 1/7, -0.041, f?
f
Let p = -125 - -54. Let c = -56 - p. Suppose 0 = -c*z + 13*z + 6. What is the third smallest value in z, 5, -0.03?
5
Let m be 8 + 0 - (-1698)/(-212). What is the biggest value in -3, 0, m?
0
Let n be (-2 - (-166)/80) + (-1)/5. Which is the fifth biggest value? (a) 0.9 (b) n (c) -0.2 (d) 3/5 (e) 22
c
Let y be (34/5)/((-11)/(7425/24)). Let v = -190 - y. What is the biggest value in 2, 0, v?
2
Let w = -4.91 - 0.09. Let t = -13.3 + 9.4. Let k = t - -5.9. What is the second smallest value in k, w, -4?
-4
Let v = -12 + 17. Let g = 10 - v. Let f = -332569/9 + 36952. Which is the fourth smallest value? (a) f (b) 4 (c) 3 (d) g
d
Suppose 156*i - 159*i = -6. Suppose -2*k - 3*h = -4*k - 34, 5*k + 4*h = -85. Let d = -0.301 + 0.501. What is the second smallest value in i, d, k?
d
Let h = -20.337 + 20.237. Which is the third smallest value? (a) 4 (b) 18 (c) -18 (d) h (e) -1
d
Let b = -2 + 0. Let p = 46 - 7. Let i = p - 38. What is the fourth biggest value in -3, b, -1/5, i?
-3
Let y = -0.0754 + -1.5246. Which is the third biggest value? (a) -2 (b) -0.3 (c) -3 (d) y
a
Let w = -25.014 - -0.014. Let g = w - -25.6. Let n = 1475 + -1472. What is the third biggest value in n, -1/5, -3/4, g?
-1/5
Suppose -8*y + 243 = -29. Let v(h) = -2*h**2 + 66*h + 67. Let g be v(y). Which is the fourth biggest value? (a) -0.2 (b) 4/7 (c) g (d) 18
c
Let z = 169.658 + 0.342. Let r = 170.4 - z. Let u = 2.1 - 2. What is the biggest value in u, r, -12?
r
Let y = -159157/3 + 53672. Let v = y + -620. Let m = 6 - 2. What is the smallest value in v, m, -0.09?
v
Let h = -0.355 - -0.155. Let w = -4 - -3.4. Let c = w + 0.49. What is the fourth biggest value in 1, h, 3, c?
h
Let o = 1616 - 1611. Which is the second biggest value? (a) 2/25 (b) 2 (c) o (d) -7 (e) -4
b
Let y = 1.58 - -2.82. Let m = -4.39 + y. Let s = -0.76 + 0.36. Which is the fourth biggest value? (a) m (b) s (c) 5 (d) 1/8
b
Let w = -0.455 - 0.023. Let a = -1722 - -1722.022. Let g = w - a. What is the biggest value in -1/4, -5, g?
-1/4
Let s = 2/171 + -376/2907. Let p = 98 + -75. Let v = p - 6. What is the second biggest value in s, -0.1, v?
-0.1
Suppose -16*v + 21*v = -42*v + 141. What is the fifth smallest value in -2/3, -4, v, -21, -2/19?
v
Let o = 2.838 + 10.172. Which is the third biggest value? (a) 0.1 (b) -3/4 (c) o (d) -0.2
d
Suppose 1905 = 139*r - 144*r. Let t = r - -376. Which is the fourth biggest value? (a) 4/7 (b) 4 (c) t (d) -5/6
c
Let o = 29 - 29.036. Let g = -4.364 + o. Let x = 2.2 + g. What is the third biggest value in 2/3, x, 5?
x
Let i = -5.7 + 1.3. Let o = 90.9 - 86. Let m = i + o. Which is the second biggest value? (a) -5 (b) m (c) -0.1
c
Suppose -3 = 4*a - a. Let w = 0.4114 + 4.5886. What is the fourth biggest value in a, -10, w, 0.4?
-10
Let o = 11166 + -100132/9. Let s = 40 - o. Let y be (3/2)/(24*10/40). What is the third smallest value in s, -5, y?
y
Let r = -43 + 43. Let v = -4501 - -31504/7. Which is the third smallest value? (a) r (b) v (c) 0.2 (d) -0.5
a
Let k(t) = -18*t - 7. Let x be k(0). Let m be 12*(-7)/(-49)*x/2. Which is the fourth smallest value? (a) m (b) 0.06 (c) 0.3 (d) 0.1
c
Let v(g) be the first derivative of -25*g**2/2 + 170*g + 5. Let x be v(7). What is the second smallest value in -9, x, 5/2?
x
Let h = -2/415 + 856/5395. Which is the second biggest value? (a) h (b) 0.345 (c) -0.4 (d) -2/7
a
Let y = 9.82 - 9.49. Which is the third smallest value? (a) y (b) -28 (c) 0
a
Let w = 0.1 - 0.3. Let p = 2/45 - -4/45. Suppose -11*b + 13*b = -17*b + 38. What is the third biggest value in p, b, w?
w
Let m = 0.5 - 2.5. Let r be (-4 + (-10)/(-2))*(-2 - -5). Let b be (r/5)/(-1)*(4 - 5). What is the biggest value in m, -3, b?
b
Let t = -10.428 + 0.028. Let z = t + 10.2. Let s be 10/4*32/20. Which is the third smallest value? (a) z (b) -0.1 (c) s (d) 5
c
Let m = -123 - -128. Let l = -615 + 6764/11. Which is the third smallest value? (a) -
|
{
"pile_set_name": "DM Mathematics"
}
|
5 - 1775*m + 3*m**2 to w + r*m**2 + h*m and give w.
-248
Express 202241*q**4 - 404499*q**4 + 202244*q**4 - 2*q**3 - 223 as g*q + o*q**3 + l + v*q**4 + d*q**2 and give g.
0
Express -2244*r - 2139*r - 1654*r - 4781*r in the form s*r + z and give s.
-10818
Rearrange 34 + 1408*n + 1397*n - 2817*n to the form o*n + c and give o.
-12
Rearrange 5*z + 2 - 354*z**3 - 6*z - 6*z - 91*z**3 - 3 to l*z**3 + g + s*z**2 + w*z and give l.
-445
Rearrange 108*t**2 - 20 + 112*t**2 + 116*t**2 - 340*t**2 + t to the form u*t + d*t**2 + m and give u.
1
Express (1 + 1 - 1)*(2*z - 1 + 1) + (1 + 2 - 2)*(-2*z + 5*z - 2*z) + 0*z - 5*z + 8*z - 10*z - 11*z + 18*z in the form m*z + n and give m.
3
Rearrange 62 - 10*c + 48 + 13 + 14*c to t + s*c and give t.
123
Rearrange (6*c + 3*c - 54*c + (-90 + 18 - 6)*(c + c + 0*c))*(-2*c + 5*c - 2*c)*(0 + 0 + 1) to z*c + v*c**2 + g and give v.
-201
Express ((4*o + 0*o - o)*(2 - 2 - 3) + 11*o - 85 + 85)*(27 + 46 - 16) as t + p*o and give p.
114
Express -11 + 13 + 13475*v - 16759*v as w + i*v and give i.
-3284
Rearrange -337*z + 337*z - 11*z**2 + 0*z**2 + 2*z**2 + z**2 + (-6*z**2 + 4 - 4)*(1 + 3 + 1) to a*z + x + f*z**2 and give f.
-38
Rearrange 910*k**3 - 909*k**3 + 0 - 93*k - 13 to z + g*k + d*k**3 + a*k**2 and give d.
1
Express (-19*u + 27*u - 28*u)*(496*u + 290*u + 3*u) in the form l*u**2 + v*u + c and give l.
-15780
Express -29*f**4 - 2 + 8*f**4 - 2*f**3 - 72*f**2 - 29*f**2 + 12*f**4 in the form z*f + l*f**2 + w + v*f**3 + y*f**4 and give l.
-101
Express 248*c**3 + 26*c**2 - 90*c - 243*c**3 - 28*c**2 in the form z*c**2 + s*c + u*c**3 + t and give u.
5
Rearrange (-10845 - 1757 - 2618)*(2*h**4 + 3*h**4 - 3*h**4) to the form y + m*h + d*h**3 + k*h**2 + n*h**4 and give n.
-30440
Express -67*c**3 + 21*c**2 + 460 - 229 + 7*c - 231 + 55*c**3 as j*c**2 + s*c + q*c**3 + f and give j.
21
Express -2 - 2*w**2 + 2 + 2266*w - 2266*w + 6*w**2 + (4 - 4 + 2)*(-2 + 2*w**2 + 2) in the form m*w**2 + d*w + j and give m.
8
Express (-1 + 3*c - 3*c - 2*c)*(6397*c - 6398*c - 264*c**2 + 1867*c**2) as i*c**2 + v + p*c**3 + f*c and give i.
-1601
Rearrange -2668*l**2 + 1232*l**2 - 77*l**2 - 2493*l**2 to m*l**2 + k*l + x and give m.
-4006
Rearrange (11 - 57 + 13 + 16 + 17 - 32480*i)*(i**2 - 4*i + 4*i) to n*i**3 + c*i + g*i**2 + q and give n.
-32480
Rearrange 650*r - 598 + 1077*r + 598 to d*r + p and give d.
1727
Rearrange (802*s + 12461*s + 24995*s + 21398*s + 1409*s - 2814*s)*(2*s**2 + 1 - 1) to the form v + b*s**3 + a*s + w*s**2 and give b.
116502
Express (-5 + 1 - 2)*(-h + 0 + 0) - 15*h + 4*h - 28*h + 3 in the form k + p*h and give p.
-33
Express 15*y - 15*y + 3804*y**2 - 41 + 41 as o*y**2 + l*y + r and give o.
3804
Express 0*d**2 + 120 - 5*d**2 - 106*d**2 + 114*d**2 + d**4 as i*d + f + u*d**2 + y*d**3 + s*d**4 and give u.
3
Rearrange (-t**3 - t**3 + 0*t**3)*(-5*t + t + 3*t) + (3*t**2 + t**2 - 2*t**2)*(-110*t**2 + 29*t**2 + 488*t**2) to v + p*t + m*t**4 + n*t**2 + x*t**3 and give m.
816
Express -55655*m**2 - 49362*m**2 + 117476*m**2 as r + l*m + n*m**2 and give n.
12459
Rearrange -36*a**4 + 84*a + 84*a**3 - 86*a**3 + 38*a**4 to the form v*a**2 + t*a**3 + x*a + u*a**4 + h and give u.
2
Rearrange -3413*m - 336*m + 304*m**2 - 305*m**2 - 3 + 265*m to c + u*m**2 + r*m and give r.
-3484
Express 0 - 27*z**2 + 1002*z**3 - 1000*z**3 - 25*z**2 - 1 as c*z**2 + p + k*z**3 + o*z and give o.
0
Express (176 - 33*l + 45*l - 9*l + 32)*(-3*l + 4*l**2 - 5*l**2 + 0*l**2) as s + t*l**3 + x*l + k*l**2 and give k.
-217
Express -2694*t**2 - 91*t**2 - 2471*t**2 + 1504*t**2 in the form g + d*t + n*t**2 and give n.
-3752
Rearrange (-2*l - 4*l - 3*l)*(76*l - 90*l + 52*l)*(4*l + 7*l - 5*l) to the form a + m*l**3 + y*l**2 + d*l and give a.
0
Express 166*u - 41562 - 41548 + 83132 as t + w*u and give t.
22
Rearrange -839 + 153 + 3759 - 18*c - 16*c + 36*c to n + k*c and give n.
3073
Rearrange (4 + 0 - 5)*(-10*m**3 - 3731 + 3731) + 11*m**3 - 6*m**3 - 10*m**3 to i*m**2 + g + h*m**3 + n*m and give h.
5
Express -8*p**2 + 0 + 1 + 74*p**2 + 2230*p - 2220*p + 1 as o + n*p**2 + q*p and give n.
66
Rearrange 13*x + 5*x**3 - 13*x + ((0 + 0 - 13)*(2*x + 1 - 1) + 90 - 30*x - 90)*(-3*x**2 + x**2 + 5*x**2) to u*x**3 + v + t*x + m*x**2 and give u.
-163
Express 2*s**2 + 39943*s - 61788*s + 32716*s as q + i*s + p*s**2 and give p.
2
Express -1368*s + 694*s + 675*s + 2 + 83*s**2 + 7*s**3 + 14*s**3 as f*s + q + x*s**2 + r*s**3 and give x.
83
Express 22909 - 22909 - 4509*p**2 in the form s*p**2 + a + d*p and give s.
-4509
Rearrange 3186 + 3214 - 6375 - 41*v to the form z*v + h and give z.
-41
Rearrange (6 - 3 + 0 + (4 - 1 - 5)*(5 - 1 - 5) + 2 + 0 - 1)*(1 - 1 - j + 0*j - 2*j + 4*j + (4 - 3 + 2)*(j + 0*j - 2*j)) to w + r*j and give r.
-12
Rearrange (-f + 0*f - f)*(0 + 8 - 4) + 4*f - 4*f - 5*f - 15082 + 15082 + 319*f to u*f + l and give u.
306
Rearrange 3923*j + 3*j**3 + 0*j**3 + 0*j**3 - 18 - 5*j**3 - 3919*j to s*j + w*j**2 + a + h*j**3 and give h.
-2
Express -1048*x + 32 - 6982*x + 25 - 57 in the form m*x + r and give m.
-8030
Rearrange ((2*u - 1 + 1)*(-1 - 2 + 5) - 1 + 1 - 3*u)*(1 + 2 - 1)*(17 - 19 + 15) to q + r*u and give r.
26
Rearrange -611*x**3 + 2*x**2 - 1 + 20*x + 1243*x**3 - 616*x**3 to t + g*x + b*x**2 + v*x**3 and give g.
20
Rearrange (3*l - 2*l + l + 0*l + 3*l - l + (3 + 2 - 7)*(-535 + 535 - 24*l) + 2*l - 2*l - 3*l)*(0 + 13 - 1) to w*l + h and give w.
588
Rearrange (-1 + 6 - 3 - 1 + 2 - 3 + (0 - 3 + 2)*(2 - 1 - 2) + 6 - 2 - 3)*(-5 + 0 + z + 3)*(-28 - 503 - 732) to f + g*z and give f.
5052
Express (302 + 209 - 269 - 2*a)*(1 + 1 - 1)*(-4*a - a - 5*a) in the form h*a + b + x*a**2 and give h.
-2420
Rearrange 642 + x - 314 - 415 + 70*x to the form p + y*x and give y.
71
Express (-104*r**3 - 134*r + 134*r)*(-80 - 14 + 49 - 92 - 22 - 96) in the form h*r**2 + g + k*r**3 + s*r and give k.
26520
Express 49*g - 10*g**4 - 10*g**2 - 8010 + 11*g**2 + 8009 in the form n*g**3 + s*g**4 + z*g**2 + v + q*g and give z.
1
Rearrange 4787*q + 75 - 74 + 3217*q + 9624*q to s*q + o and give s.
17628
Rearrange -177*x**3 - 2*x + 40134 - 5*x**2 - 3*x**2 + 4*x**2 - 40134 to the form u*x**3 + o*x + w + t*x**2 and give t.
-4
Rearrange (-14 - 5*b + 14)*(-b**3 - b**3 + 0*b**3) - 1265*b**2 + 63*b**4 + 1265*b**2 to v*b**4 + g + r*b**2 + a*b + c*b**3 and give g.
0
Rearrange 6*i - 2345768*i**2 - 4*i + 0*i - 4*i + 2343420*i**2 to c + v*i**2 + n*i and give v.
-2348
Express -221 + 221 + 4*w**2 + (-3*w + 0*w + 0*w)*(3*w + 4*w - w) + (-3 + 1 + 1)*(2*w**2 + 0*w + 0*w) + (1 - 1 + w)*(-1 + 1 + w) as t*w + m + r*w**2 and give r.
-15
Express -124*b + 251*b - 126*b + 109*b**2 + 93*b**2 in the form u + o*b**2 + a*b and give a.
1
Express -776*v**3 - 308*v**3 - 56*v**3 - v**3 - v**3 + 3*v - v + (-8*v**3 - 2*v**3 + 8*v**3)*(-2 + 0 + 4) in the form t*v + y + g*v**3 + c*v**2 and give t.
2
Rearrange 4201 + d + 3065 - 9345 to t + s*d and give s.
1
Express -3*j**4 + 1 + 0*j**4 - 434*j**2 + 8*j**4 - 14*j + 214*j**2 + 217*j**2 in the form s*j**2 + c + v*j + l*j**3 + w*j**4 and give w.
5
Express -2*p**3 - 52*p**2 + 2*p**3 + 0*p**3 + 144*p**4 - 1 - 146*p**4 - p**3 - p in the form i*p + j + f*p**4 + a*p**2 + l*p**3 and give l.
-1
Rearrange -2*w**2 + 5147591 - 10*w + 3*w**3 - 5147593 + w**3 + 6*w**3 to the form i*w**3 + o*w**2 + p*w + y and give y.
-2
Express 10*k - 11*k**3 - 1031 + 1028 + 13*k**3 as n + x*k**2 + z*k + w*k**3 and give w.
2
Express -179 - 92 - 54 + 12 - 2*f in the form n*f + s and give n.
-2
Express 4628*z + 2613*z + 6521*z + 3047*z - 3294*z as m + o*z and give o.
13515
Express (-386*l - 523*l - 399*l + 450*l)*(10*l + 41*l + 60*l) in the form d*l + z*l**2 + u and give z.
-95238
Rearrange -1380926 - 18284*m + 1380926 to the form p + j*m and give j.
-18284
Express -23131*m - 11354*m + 2421*m as y*m + c and give y.
-32064
Rearrange 33*t**3 - 158*t**2 + 158*t**2 + (8*t - 5*t + 7*t)*(-t**2 - t**2 + t**2) + 0 + 0 + 3*t**3 to the form w*t**3 + d*t**2 + s*t + u and give u.
0
Rearrange 42*m**3 + 74*m**3 + 19*m**3 + 190*m**3 + 153*m**3 - 1 to o*m**3 + v*m**2 + n*m + g and give o.
478
Express 23*l**3 + 99*l**3 + 33*l**3 + (1 + 2 - 6)*(-15*l + 28 - 28)*(2*l + 0*l - l)*(l + 8*l - l) in the form d*l**2 + g + i*l**3 + b*l and give i.
515
Express 4963*g - 39 + 687*g + 5 + 34 as r*g + n and give r.
5650
Rearrange -d - 23*d**4 + 13*d**3 - 20*d**3 + 0*d - 19*d**4 +
|
{
"pile_set_name": "DM Mathematics"
}
|
= y - -8. Calculate the lowest common multiple of 14 and v.
42
Let x(h) = -h - 3. Let v be 16/(-6)*18/8. What is the smallest common multiple of x(v) and 1?
3
Calculate the common denominator of 1/13 and (-121)/14 - 3/(-2).
91
Let r = -1 + 4. Suppose -r = -2*j - j. Calculate the least common multiple of 6 and j.
6
Let w = 3198 + -8352. Let p = 51603/10 + w. Find the common denominator of p and -27/5.
10
Let m(i) = -i**2 - i - 3. Let p be m(-3). Let x = 15 + p. Let o(q) = -q**3 - 6*q**2 - 6*q + 2. Calculate the lowest common multiple of x and o(-5).
42
Let f = 75116480/2549 + -29469. Let p = f + -38219/40784. Calculate the common denominator of p and 9/2.
16
Suppose -3*g = 5*j - 3 + 4, -5*g - 10 = 0. Let t = 48 - 42. What is the least common multiple of t and j?
6
Let m be ((-12)/(-10))/(15/50). Suppose -m*n = 5*h - 28, 5*n + h - 7 = 7. Let u(p) = 3*p - 2. Calculate the smallest common multiple of n and u(2).
4
Suppose 33 = 6*h - 3. Suppose -10 - 34 = -4*k. What is the smallest common multiple of k and h?
66
Suppose 0 = -0*q + q - 2*p - 18, -4*p = 5*q - 20. Find the common denominator of -2 + 1 - (-34)/40 and 476/q*2/10.
20
Let t(l) = 3*l**2 + 6*l - 3. Suppose 7*b = 4*b + 3. What is the lowest common multiple of b and t(-3)?
6
Let z = -1 - -13. Suppose z = r + r. Calculate the lowest common multiple of (0 - -1)*(0 + r) and 9.
18
Calculate the common denominator of ((-19)/(-2))/(1/4) and 59/7.
7
Let n(k) = 4*k**2 + 2*k - 3. Calculate the lowest common multiple of n(2) and 6.
102
Let z(h) = h**2 - 2*h - 2. What is the least common multiple of z(6) and 12?
132
Let y = -34132 + 1160595/34. What is the common denominator of 111/14 and y?
238
Let v = 4 - 0. What is the lowest common multiple of v and 18?
36
Let a be 1249048/(-6)*(-2)/(-48). Let j = 8680 + a. Calculate the common denominator of j and -15/14.
126
Let y = -3249042 - -71656671/22. Let b = y - 8081. Find the common denominator of b and 27/20.
220
Suppose 2*n = 10, 0*j + 44 = 3*j - 5*n. Let b = -19 + j. What is the smallest common multiple of 5 and b?
20
Let w(r) = -359*r + 1. Let j be w(-1). Let m = -34607719/99210 - 6/16535. Let x = m + j. Find the common denominator of -62/9 and x.
18
Let o(k) = -k - 3. Let q be o(-2). Find the common denominator of 19/4 and q + -1 - (-66)/(-20).
20
Let r(h) = h**2 + 6*h + 11. Calculate the least common multiple of 2 and r(-6).
22
Let w(u) = u + 38. What is the lowest common multiple of 4 and w(-18)?
20
Let x be ((-4)/(-6))/((-2)/(-117)). Suppose -5*b + 71 = -x. Suppose -3*z + b = n, -n = -z + 6*z - 22. Calculate the smallest common multiple of n and 4.
44
Suppose -7*v = -2*v - 20. Calculate the lowest common multiple of v and (5 - 29)*(-3)/4.
36
Let r be 2 - (2 - 10000/12). Let n = r + -853. What is the common denominator of 29/7 and n?
21
Let v(w) = w**2 - 3*w. Let q be v(3). Calculate the common denominator of 2*(-1)/(-12)*-37 and q - -3 - (-91)/(-2).
6
Let b = -30117/10 + 3004. What is the common denominator of -9/4 and b?
20
Let b(t) = -t**3 - 7*t**2 - 3*t - 4. Let m be b(-7). Suppose m = 4*x + 3*a, 0 = -2*a - a - 15. What is the smallest common multiple of x and 12?
24
Suppose 0 = -4*x + h - 1 + 21, 0 = 4*x + 4*h - 40. Suppose -3 = -4*t + 5. Calculate the lowest common multiple of x and t.
6
Find the common denominator of -23/50 and 1/((1/118)/((-1)/(-20))).
50
Let v = -2/31541 + -1671629/693902. Find the common denominator of v and 2/12*297/30.
220
What is the smallest common multiple of ((-12)/10)/(9/(-60)) and ((-2)/4)/(1/(-2))?
8
Let n(d) = -d**3 + 2*d**2 + 6*d. What is the lowest common multiple of n(-2) and 14?
28
Let s = 1304 - 11750/9. Find the common denominator of 34/5 and s.
45
Suppose -3*x + 8 = -4*x. Find the common denominator of 54/11 and ((-86)/x)/(18/8).
99
Suppose 6 = -0*z + z. Let g(s) be the second derivative of s**4/6 + s**3/6 - 2*s**2 - s. Calculate the least common multiple of g(-3) and z.
66
Let v(r) = 158*r. Let c be v(1). Find the common denominator of (-2 + 1)*c/56 and -91/20.
140
Suppose 0 = -0*g + 2*g + 36. Let u = g + 32. What is the smallest common multiple of 22 and u?
154
Suppose 0 = 2*u + 5*k - 16, -3*u = u - 4*k - 88. Suppose -40 = -2*d - 3*d. What is the smallest common multiple of u and d?
72
Let p be (-7)/(98/264) + 2. Let t = -333/14 - p. Calculate the common denominator of 19/2 and t.
14
Suppose 3*k + 73 - 7 = 0. Let y(o) = -4*o - 12. Let a be y(-9). What is the common denominator of -9*2/(a/k) and 73/9?
18
Let g = 26 + -38. Calculate the common denominator of (-3)/(-20)*147/9 and 3 - 3 - (-149)/g.
60
Suppose -2*z - 17 = -5*x - 6, 2*x = 5*z - 4. Find the common denominator of -1 + 33/(-15) + x and -4.
5
Calculate the common denominator of -119/6 and ((-196)/(-42))/(62/3).
186
Let g = 1818/23 + -27455/368. Find the common denominator of -37/70 and g.
560
Let f(t) = t**2 + 4*t - 14. What is the lowest common multiple of f(-7) and 37?
259
Let x(l) = -l**3 + 4*l**2 + 5*l + 2. Let q be x(-9). Find the common denominator of 2 + (q/(-36))/5 and 1 - ((-86)/(-16) - 2).
72
Let s = 51 + -49. Suppose -4*r + 10 = -6. Calculate the smallest common multiple of r and s.
4
Let c be (-6)/(-4)*4/6. Let i(w) = 18*w - 3. Let l(z) = -12*z + 2. Let j(m) = -5*i(m) - 8*l(m). Calculate the least common multiple of 6 and j(c).
30
Suppose -4*m = -4*l - 108, -3*l + 0*l = -15. What is the least common multiple of 16 and m?
32
Let t(u) = -u**2 - 10*u + 6. Let r = -28 - -48. Calculate the least common multiple of t(0) and r.
60
Suppose -4*d + 5*h = -23, 0 = d - 2*h - 2*h - 14. Calculate the lowest common multiple of d and 11.
22
Let i = 553/2 + -302. Let y = -654 - -1283/2. Find the common denominator of y and i.
2
Find the common denominator of (-2745)/(-216) - 2/(-16) and 7/10.
30
Suppose -2*w + 5*p = 16 - 52, 5*w + p = 90. Calculate the smallest common multiple of 8 and w.
72
Let a be 4 + (-2)/(-1) + -1. Suppose -h - 28 = -4*v - a*h, 34 = 2*v - 2*h. Suppose -4*b + 0*b + 16 = 0. Calculate the lowest common multiple of v and b.
12
Let y(a) = -a - 87. Let i be y(0). Let k = 1036 - 9376/9. What is the common denominator of k and 1*i/(-9)*-1?
9
Let l be ((-1)/2)/((-1)/10). Suppose 2*u - 8 = 0, 5*u - 36 = o - l*o. Calculate the smallest common multiple of o and 8.
8
Suppose 2*o + 3*j = -13 + 38, 3*o - 2*j = 18. What is the lowest common multiple of o and (-32)/(-3) + (-4)/6?
40
Suppose 0*g - g = 3. Let h be ((-6)/4)/(g/6). Suppose -i - 6 = -h*i. Calculate the least common multiple of i and 2.
6
Let v = 49821381475/20377766864 - 1/181944347. Let k = v - 3/406. Find the common denominator of k and 37/18.
144
Let o be (2 - 4)/(2/65). Calculate the common denominator of o/(-30)*(0 - -1) and 13/18.
18
Let f(o) = -o**2 - 8*o - 6. Let l be f(-7). Let h(q) = 13*q**2 + 2*q - 1. Let p = 84 + -64. What is the least common multiple of p and h(l)?
140
Suppose 20 + 22 = 6*i. Let v(y) = y - 2*y + 2*y - 2. What is the least common multiple of v(i) and 9?
45
Let v(m) = -4*m - 1. Suppose -12 = 4*w + n, -3*n = 2*w + n - 8. Let s be v(w). Calculate the common denominator of (3/s)/(32/230) and 119/10.
80
Let b = 14 - 8. Let q(w) = -w**3 + 16*w**2 - 14*w - 3. Calculate the smallest common multiple of q(15) and b.
12
Suppose 5*n - 3*a = a - 163, 5*a = 3*n + 90. Let r = n + 75. Suppose 0 = 2*z - p - r, -z + 2*p + 20 = -3*p. Calculate the lowest common multiple of z and 10.
20
Suppose 0 = -z + 2*g + 1735, -5*z - 5*g + 3882 + 4748 = 0. Let v = 13867/8 - z. Calculate the common denominator of v and 4/14 + 1382/(-280).
40
Let u(g) = g**3 - 2*g**2 - 2*g - 1. Let o be u(3). Suppose 18 - 2 = o*r. What is the smallest common multiple of r/2 + 4 + -2 and 7?
42
Let p(y) = 20*y**2 + 2*y - 1. What is the lowest common multiple of 27 and p(1)?
189
Let c = 48 + -34. Suppose t + 3 = c. Suppose -t + 2 = -2*h - 3*u, 3*u = -9. Calculate the least common multiple of 10 and h.
90
Let j(o) = -293*o**2 + 4*o - 4. Let w be j(5). Let m = w + 87763/12. Calculate the common denominator of 83/10 and m.
60
Find the common denominator of 332/(-24) - 4 - -1 and 67/10.
30
Let h(y) = -4*y - 1 + 3 - 2 - 6. Calculate the smallest common multiple of h(-4) and 11.
110
Find the common denominator of (-4)/14 - 89/56 and (-109)/(-6) + -3 + 0.
24
What is the common denominator of ((-6)/32)/(3/130) a
|
{
"pile_set_name": "DM Mathematics"
}
|
Let h be 36/48 - 1450/(-8). Suppose -4*s - h = -11*s. What are the prime factors of s?
2, 13
Let v(q) = 59*q**2 - 13*q - 15. List the prime factors of v(-1).
3, 19
Let s = -1 - -5. Suppose 3*f + f = -5*m + 64, 0 = s*f - 3*m - 96. Suppose -2*r = 3 - f. List the prime factors of r.
3
Suppose 0 = -5*l - 3*d + 21, 4*l - l + 4*d = 6. Suppose l*f = 1329 + 159. What are the prime factors of f?
2, 31
Let w be ((-15)/(-10))/(6/(-4)). Let j(n) = 61*n**2 - 1. Let l be j(w). Suppose -m - 1 = -l. List the prime factors of m.
59
Let q = 20 - -20. List the prime factors of q.
2, 5
Suppose 45*t + 26176 = 168106. List the prime factors of t.
2, 19, 83
Let j = 16 - 20. What are the prime factors of ((-14)/j)/(2/24)?
2, 3, 7
Suppose -4 = 11*m - 13*m. List the prime factors of (-2)/m - -2*(-51)/(-3).
3, 11
Suppose -4*g + 37 - 9 = 4*z, 3*z = -5*g + 27. Let x(n) = -n**3 + 5*n**2 + 3*n - 3. Let l be x(5). Suppose -48 = -z*h + l. What are the prime factors of h?
3, 5
Let z(p) = 292*p**2 + 11*p - 12. What are the prime factors of z(1)?
3, 97
Suppose 12424 = 4*c + 5*m, -3*m - 4474 = -5*c + 11019. What are the prime factors of c?
7, 443
Suppose -186*q + 164*q = -46684. List the prime factors of q.
2, 1061
Let k(s) = -6*s + 47. Let w(n) = -2*n**3 + 6*n**2 + n - 3. Let p be w(3). What are the prime factors of k(p)?
47
Let o(l) = 4*l**2 - 10*l + 96. List the prime factors of o(40).
2, 3, 127
Let h = 2 + 2. Suppose -5*y = v - 58 - 7, 3*y = -h*v + 209. What are the prime factors of v?
2, 5
What are the prime factors of 10/(-15) + (-2216)/(-12)?
2, 23
Suppose -153*n - 13792 = -5*d - 157*n, n + 2762 = d. List the prime factors of d.
2, 3, 5, 23
What are the prime factors of -2 - ((317/(-1) - 0) + 1)?
2, 157
Suppose -4*h + 1726 = -2*t, -4*h - 3*t - t + 1696 = 0. Suppose 4*k - h = -165. What are the prime factors of k?
2, 3, 11
Let g(q) = -q**3 - 20*q**2 + 33*q - 4. What are the prime factors of g(-22)?
2, 7, 17
Suppose 3*z + 2*z - 1117 = -3*q, 3*z - 679 = -4*q. Let p = -138 + z. What are the prime factors of p?
83
Let g(z) be the third derivative of z**6/120 - z**5/12 - 7*z**4/24 - z**3/3 - 6*z**2. What are the prime factors of g(7)?
47
Suppose 3*s = -s - 2*q + 26, -5*s - q + 31 = 0. Suppose -3*x + s = -0*x. Suppose -4*g - 164 = -4*m, 4*m + 7*g - x*g - 182 = 0. List the prime factors of m.
43
Suppose 0 = 3*u - t - 44, 6*u - u - 80 = -5*t. Suppose -4*s + u = 4*d - 121, 0 = -2*d + 5*s + 68. What are the prime factors of d?
2, 17
Let d be 416/14 - 4/(-14). Let f = -34 + d. Let z(m) = -m**3 - 2*m**2 + 2*m + 1. What are the prime factors of z(f)?
5
Let c(i) be the third derivative of 4*i**5/15 + i**4/12 - 2*i**3/3 + 31*i**2. What are the prime factors of c(4)?
2, 5, 13
Let r be (-3 + 4)*2/2. Let l = 0 + -1. What are the prime factors of (r/l)/(7/(-70))?
2, 5
Let q(d) be the first derivative of 2*d**3/3 - 5*d**2 + 7*d - 4. Let h be 20/(-25)*(-15)/2. List the prime factors of q(h).
19
Suppose 3*b = 3*n + 948, -6*b + 4*n - 976 = -9*b. List the prime factors of b.
2, 5
Let m(z) = z**2 - 4*z + 1. Suppose -5*o + 2*c + 60 + 6 = 0, 0 = -3*c - 9. Suppose 0 = -3*q + 4*f + 32, o = 2*q - f + 3*f. What are the prime factors of m(q)?
3, 11
Suppose 3*z - 2*z = 2*t - 6, -2*z - 4*t = 4. Let u(b) = b**3 + 3*b**2 - 4. Let l be u(z). What are the prime factors of -1 - 7/(14/l)?
3
Let n = -677 + 3015. What are the prime factors of n?
2, 7, 167
Let s(u) = -8*u + 27. Suppose 0*c - 4*c + 25 = -j, -2*c - 28 = 4*j. What are the prime factors of s(j)?
3, 11
Let z = 59 + 149. Let n be z/(-7) - (-6)/(-21). What are the prime factors of n/4*(-4)/6?
5
Let d(x) = 5*x + 3*x - 4*x + 9*x + 2 + 6*x. Let w be (-2)/(-8) - 14/(-8). List the prime factors of d(w).
2, 5
Let p(x) = 97*x**2 + 3*x - 2. Let f(m) = -292*m**2 - 9*m + 6. Let s(i) = 2*f(i) + 7*p(i). What are the prime factors of s(1)?
2, 3
Let i = 2 - -99. Let v = -86 + i. List the prime factors of v.
3, 5
Let r(d) = 4 - 2*d**2 + 0*d**2 + d**2 - d - d**2. Let n be r(4). List the prime factors of (-3 - (1 + n)) + -3.
5
List the prime factors of -29 + 29 - 1*-1725.
3, 5, 23
Suppose c + 5375 = 5*h, -4*h = -6*h - 5*c + 2177. List the prime factors of h.
2, 269
Let b(r) = -1 + 2*r - 7 + 4*r. List the prime factors of b(9).
2, 23
Let h(i) = -2*i - 7. Let c be h(-6). Suppose -3*n = -q - 97, c*n = q - 6*q + 135. List the prime factors of n.
31
Suppose -68*h - 1365 = -107*h. List the prime factors of h.
5, 7
Suppose -4*b - c = c + 84, -b - 5*c - 21 = 0. Let q = b + 23. Let u = q - -7. List the prime factors of u.
3
Let q(g) = g**2 - 14*g - 104. What are the prime factors of q(20)?
2
What are the prime factors of 6 - (-1524 + (-9 - 2))?
23, 67
Let m = -18 + 22. Suppose -3*b + m = -4*b. List the prime factors of 26/(b*(-4)/8).
13
Let v = 41 - -187. Suppose r - 5*r = -5*m + v, -m - 4*r = -36. List the prime factors of m.
2, 11
Let q(p) be the first derivative of p**4/4 + 4*p**3/3 + p**2 + 4*p + 5. What are the prime factors of q(-3)?
7
Suppose -3*r = 2*r + h, -4*h = 0. Suppose 0 = -3*j - 3*u - u - 18, 5*j - u + 30 = r. What are the prime factors of (-144)/j - -1*2?
2, 13
Suppose -25 = 4*q - z, -30 = 5*q + 2*z - 2. Let y = -167 + 152. Let j = q - y. List the prime factors of j.
3
Let i(u) be the first derivative of -u**3/3 + 2*u + 5. Let q(b) = 3*b**2 - 5. Let n(j) = 17*i(j) + 6*q(j). List the prime factors of n(3).
13
Let q(a) = 4*a + 8*a**2 - 8*a**3 + 15*a**3 - 6*a**3 + 3. List the prime factors of q(-3).
2, 3
Suppose m - 3*m - 4*i - 6 = 0, 2*i = m + 3. Let l = 1 - m. Suppose 12 = l*x + 4. What are the prime factors of x?
2
Suppose -4*m + 1472 = 3*n, 3*n - 15*m = -10*m + 1454. What are the prime factors of n?
2, 61
Suppose -5*q - 30 - 55 = -4*r, -5*r - 2*q = -65. Suppose 146 = 3*y - i, 0 = 5*i - 2*i + r. What are the prime factors of y?
47
Suppose 5*z + 4 = -2*q, 2*z + 6*q - 3*q + 6 = 0. Suppose -4*v + 9 + 3 = z. Suppose -6 = -v*k - 2*g + 33, 0 = k + 3*g - 13. List the prime factors of k.
13
Let n = -1 - 3. Let u(j) = j**3 + 11*j**2 - j + 1. List the prime factors of u(n).
3, 13
Let p = 88 - 72. Let b(m) = m**3 - 17*m**2 + 30*m - 5. List the prime factors of b(p).
3, 73
Suppose 2*l - 70 = -50. What are the prime factors of l/(-10)*-3*1?
3
Let o(m) = -13*m**3 - 2*m**2 - 5*m - 4. What are the prime factors of o(-2)?
2, 3, 17
Let k be (1 + (-18)/10)*-50. Suppose -4*t - 8 + 20 = 0. Suppose -b = -t*b + k. What are the prime factors of b?
2, 5
Let r be (-2)/(-5) - 4/10. Suppose r = 3*k - 130 - 35. What are the prime factors of k?
5, 11
Let t(o) = 5*o**3 + o - 86*o**2 - o + 87*o**2 - 2. List the prime factors of t(2).
2, 3, 7
What are the prime factors of (2 + (-568)/5)/(40/(-500))?
3, 5, 31
Suppose z + 6 - 10 = 0. Let j(i) = 2*i + 4. Let l be j(z). List the prime factors of (l/7)/((-2)/(-14)).
2, 3
Let y be 58*((-6)/(-4) - 1). Let k = -1401 + 1392. Let n = k + y. What are the prime factors of n?
2, 5
Let h = -25 + 27. Suppose 0 = h*w + g + g - 80, -5*w + 3*g = -192. List the prime factors of w.
3, 13
Let k = -12 + 15. Suppose -2*v + k*y = -54, 4*v - 3*y = y + 116. What are the prime factors of v?
3, 11
Let q = 20 + -2. Suppose -3*f = -48 + q. List the prime factors of ((-8)/f)/((-10)/275).
2, 11
Let o(w) = w**2 + 13*w + 2. Let n(q) = -4*q**2 - 40*q - 6. Let h(t) = -2*n(t) - 7*o(t). Let b be h(14). Let z = b + -25. What are the prime factors of z?
3, 5
Let j(z) = z**2 - 5 - z + 7*z**2 + z**2 - 3*z**2. What are the prime factors of j(3)?
2, 23
Suppose h + 0 = 1. List the prime factors of h + -1*(-12 + 0)*1.
13
Suppose 5*s = -v - 0 - 8, 0 = -3*v - 3*s - 12. Let i be (-1 - -2)*(8 + v). Suppose 0 = -0*p + i*p - 155. List the prime factors of p.
31
Let i(g) = 3*g**3 - 16*g**2 - 13*g + 16. List the prime factors of i(8).
2, 53
Let u(x) = x**2 + 20*x + 36. Let i be u(-18). Suppose i = -10*p + 7*p + 198. What are the prime factors of p?
2, 3, 11
List the prime factors of (-16)/(-32) + 311*(-39)/(-6).
2, 3, 337
Let n = -608 + 1412. What are the prime factors of n?
2, 3, 67
Let l = 221 + 409. What are the prime factors of l?
2, 3, 5, 7
Suppose 4*v - 64 = -4*c, -4*v - v = 2*c - 95. Suppose 24*j = v*j. What are the prime factors of 1/((-4)/(-172) - j)?
43
Let y(n) = n**3 + 7*n**2 + 5*n - 7. Let t be y(-6). What are the prime factors of t*(-314)/2 + (-24)/(-6)?
7, 23
Let c(f) = -3*f + 18.
|
{
"pile_set_name": "DM Mathematics"
}
|
digit of n?
0
Suppose -3*n + 2*x = -17 - 14, -39 = -2*n + 5*x. Suppose -3*j - y = 16, -4*j - 3*y - 11 - n = 0. What is the units digit of (15/(-5))/(j/16)?
8
Suppose -18 = -v + 2*z, -4*z = -v - 2*v + 52. What is the units digit of v?
6
Suppose -167 = -5*t - 52. What is the units digit of t?
3
Let d(f) be the third derivative of f**6/360 - 7*f**5/120 + f**4/8 + f**3/6 + f**2. Let n(o) be the first derivative of d(o). What is the units digit of n(7)?
3
Let j(k) = 6*k + 3. Let t be j(-3). Let n = 8 + t. What is the tens digit of (-2 - -4)/((-1)/n)?
1
What is the units digit of (-1)/(-2) + 21/2?
1
Let g(d) = d**2 + 9*d - 15. What is the units digit of g(-11)?
7
Suppose -9 = -3*m - 0. Suppose -w = -m + 1. What is the units digit of w?
2
Let s = -7 - -9. Suppose 3*j - 4*j - s*i = -20, -j + 20 = -2*i. What is the tens digit of j?
2
Suppose 0 = j + o - 65, -372 + 47 = -5*j + o. What is the tens digit of j?
6
Suppose 0 = -3*j + 7*j. Suppose -164 = -j*m - 4*m. What is the units digit of m?
1
Suppose -2*c + 7 = -3. What is the tens digit of (-2)/c - 214/(-10)?
2
Suppose 0*o + 9 = o. What is the units digit of o?
9
Suppose 4*k = 2*w + 12, -2*k + 2*w + 16 = 3*k. Suppose 3*p - 13 = -g, -2*g + g = -k*p + 29. What is the units digit of p?
6
Suppose -108 - 77 = -m. What is the tens digit of m?
8
Let l be -1*(2 + -1)*2. Let f be l + (4 - (2 + -2)). Suppose 0 = f*i - 6*i + 20. What is the units digit of i?
5
Let k(d) = -d**2 + 13*d - 14. Let a be 6/(-10) + 114/15. Let p = a - -3. What is the tens digit of k(p)?
1
Suppose -j + 5*j - 8 = 0. Suppose 18 = 4*o + j. Suppose -4*p - p = g - 12, -3*g = o*p - 14. What is the units digit of p?
2
Suppose -4*p + 11 = -37. What is the units digit of (-1)/((-4)/8) + p?
4
Suppose 11 = z + 3*u, -3*z + 1 = -5*u - 4. Suppose 4*d - 4*l - 9 - 11 = 0, -4*l = -3*d + 20. Let m = d + z. What is the units digit of m?
5
Let i(y) = 3*y**2 - y. Let s be i(1). What is the tens digit of 2*s/(-4)*-31?
3
Let l be (1/2)/(3/24). Suppose -d + l = d. What is the units digit of d?
2
Let o(b) = 5*b - 7. What is the units digit of o(4)?
3
Let q = 2 + 5. What is the units digit of q?
7
Let s(j) = 26*j**2 + 13*j + 26. What is the units digit of s(-3)?
1
Let r = -2 - -43. What is the tens digit of r?
4
Let a(b) = -7*b**3 - 3*b**2 - b - 1. Let v(r) = 5*r + 3*r**2 + 13*r**2 + 13*r**3 + 21*r**3 + 5. Let h(p) = 11*a(p) + 2*v(p). What is the units digit of h(-1)?
8
Suppose 0 = v + 8*v - 3456. What is the units digit of v?
4
Let u be (84/10)/(6/40). Suppose -4*b - 4*s + u = 0, 2*b + 7*s - 36 = 3*s. What is the tens digit of b?
1
Suppose 0 = -2*u - 43 - 13. Let j = -15 - u. What is the tens digit of j?
1
Let j = -62 - -130. What is the tens digit of j?
6
Let s = 27 - 27. Suppose s = -4*a + a + 54. What is the units digit of a?
8
Let q = 555 - 125. What is the hundreds digit of q?
4
Suppose -16*a + 453 + 731 = 0. What is the units digit of a?
4
Suppose 4*t - 12 = -2*u, 3*u = 3*t - 8 - 1. Suppose -5*j + u*j = -40. What is the units digit of j?
8
What is the tens digit of 12/(-6) + 82/2?
3
Let n = 7 + -11. What is the units digit of n*(6/(-4) - 0)?
6
What is the units digit of (16 - 127)/(-3 + 0)?
7
Let y = -7 + 7. Suppose 5*l + 5*t - 65 = y, -2*l - t = -18 - 6. What is the units digit of l?
1
Let m(d) = 2*d**3 - 9*d**2 + 9*d + 7. Let l be m(7). What is the tens digit of l/7 - 1/(-1)?
4
Let g be 4/(2/(-4)*-2). Let s = g - 2. What is the units digit of 7/(s/(3 + -1))?
7
Let o = 101 + -61. Suppose -5*g + o = -15. What is the units digit of g?
1
Let h be (2/(-4))/(2/(-24)). What is the tens digit of (-81)/h*8/(-6)?
1
Let z(d) = d**2 - 7*d - 2. Let r be z(8). Let p be 3/6*r/3. What is the units digit of p*-2 - (-15 - -3)?
0
Suppose 5*p = 21 + 14. Suppose -4*g + p = i, g + 0*g - 3*i - 5 = 0. What is the units digit of g?
2
Let g be -2 + 0 + 0 - -2. Let c = g + 16. Let v = c + -2. What is the tens digit of v?
1
Let g = -9 - -12. Let w = g + 2. Suppose -w = -3*b + 13. What is the units digit of b?
6
Suppose -5*g + 171 = 41. What is the units digit of g?
6
What is the units digit of 8/(-14)*(-14)/4 + 160?
2
Suppose 3*v + 5*x = -2*v + 190, 110 = 3*v + x. What is the units digit of v?
6
Let i(p) = 2*p + 1 + p**2 - 1 + 1. Let b be i(2). Let y = b - 5. What is the units digit of y?
4
Suppose -5*a - 8*m = -4*m + 1, 4*m + 13 = -a. Suppose 2*q = i - 3, 1 = a*q - q - 5*i. What is the units digit of (-16)/(-6) + q/3?
2
Let s(o) = 6*o**2 + o - 6. What is the units digit of s(4)?
4
Suppose -290 = -5*b + u, -3*b + 0*b + u + 174 = 0. Suppose 2*j - 4*j = -b. Suppose -5*v + r = -2*r - j, 5*r - 24 = -2*v. What is the units digit of v?
7
Let u = 7 - 4. Suppose -4*c = -u*c + 2. Let j = c - -3. What is the units digit of j?
1
Let z be 10/(-45) - 2/(-9). Suppose 4*r - 2*o - 46 = z, 0 = -r - 3*r + 4*o + 48. What is the units digit of r?
1
Suppose 154 - 484 = -2*o. What is the tens digit of o?
6
Let k(d) = d + 21. Let t be k(-10). Suppose 5*h + 3*a - 50 = 0, 2*h - 31 = 3*a - t. What is the units digit of h?
0
Let m = 5 - 5. What is the tens digit of 4 + 7 - (-1 + m)?
1
What is the tens digit of (24/(-15))/((-2)/30)?
2
Let k = 76 - 42. What is the tens digit of k?
3
Suppose 0*d + 90 = 5*d. Suppose 8 = 2*s, d = 6*i - 3*i + 3*s. Suppose 7 = i*p - 5. What is the units digit of p?
6
Suppose -3*j = j - 200. What is the units digit of j?
0
Let d be 1/(-3)*2*-12. Let y(x) = -x**3 + 9*x**2 - 8*x + 7. What is the units digit of y(d)?
7
Let c = 173 + -79. What is the units digit of c?
4
Suppose 2*o + 4*l = -0*o - 4, -14 = -5*o + 2*l. Suppose o*d + 16 = -0. Let c(w) = w**3 + 7*w**2 - 8*w + 10. What is the units digit of c(d)?
0
Let j(c) = c**2 + 4*c - 3. Let f be j(-5). Let d = 37 - f. What is the tens digit of d?
3
Let n = -11 + 15. Suppose -2 - n = -h. Suppose h*l = 3*l + 45. What is the units digit of l?
5
Suppose 3*n = -i + 6*i + 34, 5*i = 5*n - 50. Let w(v) = v - 7. Let k be w(n). Let a = 4 - k. What is the units digit of a?
3
Let g(m) = 2*m**2 - 6*m - 7. What is the tens digit of g(5)?
1
Let x(m) = -m**2 - 5*m - 2. Let y be x(-5). Let k(d) = 3*d**2 + 2*d + 1. What is the units digit of k(y)?
9
Let g(t) = -t - 7. Let n be g(-7). Suppose -5*u = n, 0 = -j + u - 3. What is the units digit of 1*-2 - 0 - j?
1
Suppose 17 - 96 = -x - a, -5*a - 289 = -4*x. What is the tens digit of x?
7
Let a = 361 - 182. What is the units digit of a?
9
Suppose 0 = -0*v - 5*v + 330. What is the tens digit of v?
6
Let j = 26 + -18. Suppose -5*d + 14 = -286. Suppose j*t - 3*t - d = 0. What is the tens digit of t?
1
Let q be 412/8 + 1/2. Let j = q - 29. Suppose -3*w = -5*d - j, -w + 0*d - 3*d = 11. What is the units digit of w?
1
Suppose -3*x = 2*n - 5, -3*n - x + 2 + 23 = 0. Let y = n - 8. What is the units digit of (y + -3)/(3/(-21))?
7
Suppose v = -4*v + 105. Let m be 6/(-10) - (579/(-15) - -2). Let x = m - v. What is the units digit of x?
5
Let k(p) = p**3 + p**2 - 4*p + 5. What is the units digit of k(3)?
9
Let c = -4 + 6. Suppose 5*i = c*k + 8, -i - i + 4*k = 0. What is the units digit of i?
2
What is the hundreds digit of (-974)/(-6) - (-32)/48?
1
Suppose -127 = 5*y - 3*o + o, 0 = 4*y - 3*o + 103. Let l = y - -41. What is the units digit of l?
6
Let c = -1 - -9. Let x = c - 3. What is the units digit of x?
5
Let q = -5 - -4. Let d(t) = -33*t**3 + 2*t + 1. What is the units digit of d(q)?
2
Let q = -376 + 529. What is the tens digit of q?
5
Let t = -5 + 5. Suppose t = 5*m + q + q - 15, -6 = -2*m + 2*q. Suppose -l - 27 = -m*u - 4*l, 3*l = 3. What is the units digit of u?
8
Let f(b) = -20*b - 12. What is the units digit of f(-4)?
8
Let h(g) = g**3 - 5*g**2 + 4*g - 2. What is the tens digit of h(5)?
1
Let w = 125 - 67. What is the tens digit of w?
5
Let o(l) = -l**2 + 12*l + 2. Let h be o(11). Let k = 35 - h. What is the units digit of k?
2
Let n = -4 - -6. Let m(b) = -4*b - 2*b**2 + 2*b**2 - n + 2*b**2 + b**3. What is the units digit of m(-3)?
1
Suppose 0 = n + 5*h - 1 + 13, 2*n + 5*h + 39 = 0. Let j = -19 - n. What is the units digit of j?
8
Suppose y = -4*f + 20, 0 = -4*f + 3*y + 3 + 1. What is the units digit of f?
4
Suppose 2*x - 24 = -2*h, 5*x + h - 51 = x. What is the tens digit of x?
1
What is the tens digit of 1 - (-1)/(2/188)?
9
Let i(k) = 8*k**2 - k + 9. What is the units digit of i(5)?
4
Suppose 3*r - 51 =
|
{
"pile_set_name": "DM Mathematics"
}
|
3/9. Calculate the common denominator of z and 75/24 - (3 - 0).
8
Suppose -115 = 5*k + 5. Let o = 96/67 + -5333/402. Calculate the common denominator of 10 - 7 - (-267)/k and o.
24
Let q = -5785/6 - -947. Let o = 145/4 + -991/28. What is the common denominator of q and o?
42
Let x = -18 + 26. Suppose f = x*f - 63. What is the least common multiple of 24 and f?
72
Let f(d) = -d**2 - 10*d - 6. Let n be f(-9). Suppose 5*w + 2*k = 148, -n*w + 4*w + 5*k = 25. Let y = -26 + w. What is the lowest common multiple of 5 and y?
20
Suppose 0 = 296*j - 301*j + 800. What is the smallest common multiple of j and 12?
480
Let p = 0 + -164. Let n = 1825/11 + p. What is the common denominator of ((-2)/(-1))/(6/23) and n?
33
Let l be (2059/(-4))/((-7)/(-2)). Let w = -147 - l. Find the common denominator of (-20)/80 - 3/(-16) and w.
112
Find the common denominator of -53/4 and 2 - 0 - 52/(-286).
44
Let h(d) be the first derivative of -d**2/2 + 6*d - 7. Suppose 0 = -2*b - 2*b. Calculate the least common multiple of h(b) and 8.
24
What is the common denominator of (-1683)/162 + 1 + 2 and -137/12?
36
Let t = -87935/24 + 3669. What is the common denominator of t and -65/36?
72
Let d = 971 - 503. Let z = 1005/2 - d. Calculate the common denominator of 150/60 - (2 + 0) and z.
2
Let q(k) = k**2 - 4. Let w be q(3). Suppose -w*n + 16 = -n. Calculate the smallest common multiple of n and 9.
36
Let u(l) be the third derivative of -l**6/60 - l**5/30 - l**4/8 - 22*l**2. Suppose -b + 7 = -15. What is the lowest common multiple of b and u(-2)?
154
Suppose 8 = 4*s - 0*s. Let z = 3 + s. Suppose -3*j + 2*x + 3*x = 115, -2*x = -z*j - 179. Calculate the common denominator of 57/10 and j.
10
Let w = -10/149 - 4400/1043. What is the common denominator of -1 + 1*(-9)/10 and w?
70
Let h = 204 + -200. Suppose 0 = -5*k + 32 + 13. Suppose -7 - k = -h*i. Calculate the lowest common multiple of 4 and i.
4
Let i be 1*425 - -1 - -2. Let f be 10/5 + (-851)/i. Let b = -20335/428 + f. What is the common denominator of b and -53/3?
6
Let c = 1437490467841/5258 - 273391111. Let w = c + 1/478. Let h = 39/11 - -115/132. Calculate the common denominator of h and w.
132
Suppose -18 = -v - 2*v. Let b(n) = n**3 - 5*n**2 - 4*n - 2. Let f(j) = j - 4. Let c be f(10). What is the lowest common multiple of b(c) and v?
30
Let p = 3/1291 - -37349/38730. What is the common denominator of p and 107/20?
60
Let j(u) = -u**3 - 20*u**2 + 17*u - 28. What is the least common multiple of j(-21) and 455?
3640
Let i(s) = 12*s**2 - 6*s + 30. What is the least common multiple of i(3) and 45?
360
What is the lowest common multiple of (-4)/((-120)/(-357) + 20/(-35)) and 5?
85
Let r = -9/1334 + -20569/16008. Calculate the common denominator of r and 9/(8505/(-5391)) - (-18)/(-42).
120
Let g = 12083/60 - 1024/5. Let o(b) = -b**3 - 8*b**2 - 6*b - 2. Let u be o(-7). Let t = -7 - u. Find the common denominator of t and g.
12
Calculate the common denominator of 40 + -57 + (-520)/(-35) and (1 - -18)*(-2)/(-9).
63
Let m(g) = -g**3 - 11*g**2 - 19*g - 1. Let i be m(-10). Let j = i - 65. What is the smallest common multiple of j and 12?
24
Let w = -31337/726541 + 303611394551/90474697648. Let l = w + -1/7783. What is the common denominator of l and -71/44?
176
Let i = 2 + 1. Suppose 3*x = 3*s - 1452, 0 = -i*s - 0*x + x + 1454. Calculate the common denominator of -62/9 and s/(-12)*6/(-20).
72
Suppose -25*x + 32*x = 126. Calculate the least common multiple of x and 22.
198
Suppose 8*u = u - 91. What is the least common multiple of -3 + (1 + -3 - u) and ((-2)/6)/((-1)/12)?
8
Let i be 4 + -154 + (1 - -1). Let j = -106 - i. What is the lowest common multiple of 12 and j?
84
Let t = -317/13 - -3085/78. What is the common denominator of t and 1170/(-810)*(-42)/(-4)?
6
Suppose -2*d + 0*d + 10 = 0. Let k = 4 + d. Let y = 12 + -4. Calculate the lowest common multiple of y and k.
72
Let u = -26 - -44. Let g be (-4)/6 + 222/9. Let p = -16 + g. Calculate the least common multiple of p and u.
72
Let a be 7/2 - 6/(-12). Suppose -20 = -3*m + a*m. Find the common denominator of (-18)/m*7 - -3 and 51/2.
10
Let d(q) = -12*q**2 + 2*q - 1. Let o be d(2). Let f = -23 - o. Suppose 0 = -3*h + 2*p + 56, p = -h + 5*p + f. What is the least common multiple of 22 and h?
198
Let v = -22 - -16. Let u(p) = -2*p - 2. Let h be u(v). Suppose -h*g + 7*g + 18 = 0. Calculate the lowest common multiple of g and 4.
12
Suppose -17*f + 765 = -544. Calculate the least common multiple of 66 and f.
462
Find the common denominator of -83/4 and (0 - 7)/((-102)/221).
12
Let s = -11 - -26. What is the least common multiple of ((-12)/(-10))/(2/s) and 10?
90
Let u be 5 - ((0 - 1) + 2)*0. Let v(p) = p + 6. Let a be v(-5). Suppose -11 = -u*f - a. What is the lowest common multiple of 12 and f?
12
Let a = -17 + 31. Suppose 5*h - 27 - 23 = 0. Calculate the least common multiple of h and a.
70
Suppose 3*j - 2 + 8 = 0. Let n(q) = -3*q**3 - q**2 - 2. Suppose -2*o + 80 = -4*p, 0 = o + 2*p + p - 50. What is the lowest common multiple of n(j) and o?
396
Let p = 11085221985440 - 21766454140843219517/1963556. Let t = 195/644 + p. Let f = 106727/73176 + t. Find the common denominator of -119/10 and f.
120
Suppose 2*a + 0*a = 2. Suppose 5*y = -a - 4. What is the common denominator of 287/(-7) + (y - -1) and -29?
1
Let x = 81742359634/40597025847 + 59874/719461. Let h = x + -4/2687. What is the common denominator of -59/21 and h?
21
Let z = 1/674 - 5899/1011. Let m = 6554 + -65419/10. Calculate the common denominator of m and z.
30
Let v be 382/16 + (-4)/(-32). Find the common denominator of (-508)/v - (-2)/6 and -81/80.
240
Suppose 4*w - 31 = 9. Let b = w - 0. Calculate the lowest common multiple of b and 20.
20
Let a = 1396913/30 + -46559. Calculate the common denominator of a and -41/24.
120
Let m(t) = t**2 - 13*t - 14. Calculate the lowest common multiple of 208 and m(15).
208
Suppose -1 = -r + 3. Let c be 1/(-4 - 0 - -3). Calculate the smallest common multiple of 17 - 14 - (c + 0) and r.
4
Suppose 7*j - 12*j = -10. Suppose -22 = -3*q - 2*u, 0 = 5*q + 5*u - j*u - 35. What is the lowest common multiple of 7 and q?
28
Let q = 51241/9672 - 5/806. Calculate the common denominator of -34/7 and q.
168
Suppose -23*m = -3*m - 700. What is the least common multiple of m and 28?
140
Let n(q) = -2*q**3 - 33*q**2 - 120*q + 17. Suppose -31 - 89 = -3*d. Calculate the smallest common multiple of d and n(-11).
120
What is the common denominator of 642/(-40)*(-2)/3 and (-150)/72*1*21/14?
40
Let q = -10417/10 - -1040. Let j = -465 - -10689/23. Find the common denominator of j and q.
230
Let x be 4 + (2 - -2) - 4. Suppose -3*j + 160 = -x*v - 2*j, -3*j - 12 = 0. Calculate the common denominator of v and -3/4.
4
Let g be ((-16)/93*-21)/(-6). Let h = -9059/372 - g. Calculate the common denominator of -28/15 and h.
60
Suppose -1715 = -120*k + 85*k. What is the lowest common multiple of k and 24?
1176
Let n be (-2)/(-3)*6/(-2). Calculate the common denominator of -15/14 and (n - -43)*(-4)/(-56).
14
Suppose 8*h - 276 - 4636 = 0. What is the smallest common multiple of 3 and h?
1842
Let o = 606 - 239. Suppose 0 = -3*m - 5*t + o, t + t = 4*m - 472. Find the common denominator of (-14)/m + 38/612 and 74/9.
18
Find the common denominator of 86/15 and 20/(-6)*(0 - (-10)/336).
1260
Let f(d) be the first derivative of -d**4/4 + 4*d**3/3 + 6*d + 3. Let x = 117 + -113. What is the smallest common multiple of 2 and f(x)?
6
Let b be (-1897)/((-1)/2 - (-1)/1). Let v = -37901/10 - b. Let r = 62781/10 - 6288. What is the common denominator of v and r?
10
Suppose -1088 = -3*w - 1046. What is the least common multiple of 330 and w?
2310
Let b = 1/12231 - 1113043/269082. Let k(m) = -m**3 - 2*m**2 + 7*m + 5. Let l be k(-4). Find the common denominator of 3/l*(-6)/(-16) and b.
88
Let i = -37 + 31. Let g(k) = k**3 + 4*k**2 - 14*k. Calculate the lowest common multiple of g(i) and 12.
12
Suppose -4*p = -3*s - 83, 4*p - 81 - 3 = 4*s. Suppose -10*m + 238 = 18. Let n = -16 + m. What is the least common multiple of p and n?
60
Let o = 457274/21 - 21779. Let d = -4062 + 85325/21. What is the common denominator of o and d?
21
Suppose -2*d + 2*g + 0*g = -20, 3*g = 0. Calculate the lowest common multiple of d and 151.
1510
What is the common deno
|
{
"pile_set_name": "DM Mathematics"
}
|
e of m**4 - 244*m + 152. Let g(a) be the first derivative of h(a). Let x(i) = -12*i. What is x(g(o))?
-144*o**2
Let o(l) = 7169*l. Let s(t) = 355*t. Give o(s(r)).
2544995*r
Let a(o) = 145*o**2. Let f(y) be the first derivative of -y**5/60 - 85*y**2/2 + y - 86. Let j(l) be the second derivative of f(l). Calculate a(j(k)).
145*k**4
Let m(u) = 12890*u. Let h(k) = -865*k**2. Calculate m(h(b)).
-11149850*b**2
Suppose -5*j = 3*c, 6*j - 3*j = -2*c. Let b(o) = o + c*o + o. Let f(m) = m**2 - 1687 + 1687. What is b(f(i))?
2*i**2
Let t(m) = 155211*m**2 - 3. Let i(b) = 96*b. Give i(t(h)).
14900256*h**2 - 288
Let f(a) = 50*a**2 - a - 1. Let l(h) = 5*h**2 - 2. Let c(d) = -f(d) - 2*l(d). Let p(z) = -z. Calculate p(c(o)).
60*o**2 - o - 5
Let d(z) = 2*z. Let q(p) = -1000195*p. Determine q(d(o)).
-2000390*o
Let z(q) = 0*q + 4*q + 2*q - 8*q. Let u(w) = -6190*w. Calculate u(z(j)).
12380*j
Let r(s) = 2*s**2. Let g(m) = 282 + 274 - 4*m**2 + 280 + 110*m - 836. Determine g(r(y)).
-16*y**4 + 220*y**2
Let z(u) = 6*u. Let s(n) = 25*n. Let v be (-66)/8*(-56)/42. Suppose 3*x + v = f, 6 = x + x. Let i(c) = c. Let l(b) = f*i(b) - s(b). Determine z(l(d)).
-30*d
Let z(b) = 4*b + 636*b**2 - 4*b - 3077*b**2 + 7339*b**2. Let v(o) = 3*o. Determine z(v(y)).
44082*y**2
Let t(z) = 14*z + z - 5*z - 26 + 21. Let n(v) = -v**2 + 12*v - 6. Let r(a) = 5*n(a) - 6*t(a). Let s(w) = -31*w + 2. Calculate s(r(p)).
155*p**2 + 2
Suppose 4*y + 11 = 5*z + 2, 0 = -3*z + 4*y - 1. Let p(u) be the first derivative of 4 - 1 + 13 - 2 + z*u**2. Let k(j) = j. Calculate k(p(n)).
10*n
Let u(s) = 472*s**2 - 6*s + 1. Let v(r) = 1721*r. Give v(u(b)).
812312*b**2 - 10326*b + 1721
Let j(m) be the third derivative of -m**4/3 - 8928*m**2. Let w(k) = -k - 35. Give j(w(d)).
8*d + 280
Let z be ((-18)/(-15))/((-4)/(-10)). Let w(j) = -z*j + 0 + 0. Let k(o) be the third derivative of 13*o**4/24 + 107*o**2 + 17*o - 3. Calculate k(w(x)).
-39*x
Let c(x) = 98*x - 202*x + 100*x - 7 + 7. Let b(d) = d - 8. Let o be b(10). Let z(l) = -5*l**2 - l**2 + o*l**2 + 2*l**2. Give c(z(y)).
8*y**2
Let l(n) = 218*n**2. Let p(t) be the second derivative of -18*t + 0*t**3 + 2 + 0*t**2 - 1/6*t**4. What is p(l(v))?
-95048*v**4
Let a be (5/(-75))/((-16)/7*35/50). Let g(w) be the third derivative of 0*w**3 + a*w**4 - 19*w**2 + 0*w + 0. Let x(i) = -5*i. What is x(g(m))?
-5*m
Let v(f) = f**2. Suppose -5*b = -41 - 44. Suppose 0*y - 125 = -5*y + 4*g, -y + 54 = 5*g. Let c(p) = 2*p + b + 15 - y. Calculate v(c(a)).
4*a**2 + 12*a + 9
Let p(a) be the first derivative of a**4/4 + 3*a**2/2 - 7*a - 8. Let z(c) be the first derivative of p(c). Let q(j) = 2*j**2. Calculate q(z(l)).
18*l**4 + 36*l**2 + 18
Let m(u) = -10*u**2. Suppose -3*g + 5*g = -b + 90, b - 5*g - 104 = 0. Let y(i) = b*i**2 - 62*i**2 - 45*i**2. Determine y(m(j)).
-1300*j**4
Suppose 0 = 5*k + 3*a - a - 25, 3*k - 15 = -3*a. Let o(u) = -u**2 + k*u**2 - 3*u**2 - 2*u**2 + 2*u**2. Let h(q) = -31*q**2. Calculate o(h(p)).
961*p**4
Let f(g) = 628*g**2 + 689*g**2 - 1324*g**2. Let x(p) = 14*p**2. What is f(x(l))?
-1372*l**4
Let r(p) = -p**2. Suppose 0 = -3*g + 61 + 164. Let h(c) = -g*c - 90*c - 43*c. Give h(r(m)).
208*m**2
Let s(n) = -n - 4. Let u be s(-6). Let r(a) = 48*a**2 - 33*a**2 - 3*a**2 + 55*a**u. Let j(p) = p**2. Give r(j(x)).
67*x**4
Suppose -5*z + b + 11 = 0, 0*b - 2 = -3*z - 4*b. Let s(h) = -3 - 40*h**2 - 1 + 69*h**2 - 38*h**z. Let a(j) = -2*j**2 + j**2 + 42*j - 42*j. Give a(s(w)).
-81*w**4 - 72*w**2 - 16
Let f(z) = -27*z. Let n(a) be the third derivative of 5*a**5/12 + 468*a**2. What is f(n(t))?
-675*t**2
Let j(a) = 4*a**2 + a + 3. Let f(n) = 23664*n**2 + 5712*n + 17136. Let z(y) = -2*f(y) + 11424*j(y). Let u(l) = -l. Determine z(u(i)).
-1632*i**2
Let b(v) = -8*v. Let l(j) = 231*j. Let w(a) = -88*b(a) - 3*l(a). Let n(m) be the second derivative of 3*m**4/4 - 116356*m. Determine n(w(q)).
1089*q**2
Let w(v) = -v**2 + 7*v**2 + v**2. Let i(u) be the third derivative of 0*u + 0*u**3 + 0*u**4 + 1/20*u**5 + 2*u**2 + 7. Determine w(i(d)).
63*d**4
Let y(f) = f**2. Let c(h) be the first derivative of 7*h**2 - 17*h + 4741. Give c(y(q)).
14*q**2 - 17
Let g(k) = -76*k + 227*k - 72*k - 77*k. Let o(q) = -11*q + 152. Determine g(o(v)).
-22*v + 304
Let n(u) be the first derivative of -u**2/2 - 1. Let a be 12/15*(0 + 70/(-4)). Let l(b) = 6*b. Let y(m) = 20*m. Let q(s) = a*l(s) + 4*y(s). What is q(n(f))?
4*f
Let u(z) = z - 2384 + 2384. Let h be ((-40)/32)/((-1)/4). Let q(s) = -12*s + h*s - 20*s. Give q(u(p)).
-27*p
Let o(h) = -7*h + 0*h + h. Suppose 21*k = 6791 + 496. Let b(d) = -691*d + 349*d + k*d. Determine o(b(t)).
-30*t
Let g(h) = 4*h. Let d(s) = -749670*s. Give g(d(r)).
-2998680*r
Suppose -39*g - 910 = -98*g - 32*g. Let q(p) be the first derivative of 0*p - 10/3*p**3 + g + 0*p**2. Let r(v) = 3*v**2. Determine q(r(y)).
-90*y**4
Let z(f) = -9259632*f. Let t(m) = 15*m**2. Calculate z(t(i)).
-138894480*i**2
Let i(m) be the first derivative of -m**3/3 - 32. Let w be -2 - (2/(-1) - 2). Let h(v) = -2*v - w - 3*v + 3*v - 19. Calculate i(h(g)).
-4*g**2 - 84*g - 441
Let q(v) = 5798134*v. Let o(j) = 14*j**2. Give q(o(b)).
81173876*b**2
Let x(l) = -4375378*l**2 - l. Let s(p) = p**2. What is x(s(w))?
-4375378*w**4 - w**2
Let x(m) = 17*m**2 + 7*m + 21. Let d(c) = -5*c**2 - 2*c - 6. Let f(h) = 14*d(h) + 4*x(h). Let j(a) = -748*a. Calculate f(j(w)).
-1119008*w**2
Let d = 114 - 60. Let t(n) = -d*n + 30*n - 50*n. Let k(g) be the third derivative of -g**5/30 - 44291*g**2. Give t(k(a)).
148*a**2
Let n(w) = 2*w. Let h(k) = 13*k**2 + 8*k + 6. Let x(q) = -29*q**2 - 19*q - 15. Let g(u) = 5*h(u) + 2*x(u). What is g(n(c))?
28*c**2 + 4*c
Let n(u) = 26880*u**2 - 10780*u + 385. Let f(a) = -140*a**2 + 56*a - 2. Let o(y) = -385*f(y) - 2*n(y). Let s(l) = 5*l. Determine s(o(v)).
700*v**2
Let y(q) = -1232*q + 2. Let p(f) = -3*f + 832089 - 832089. Give y(p(j)).
3696*j + 2
Let c(q) = -22*q**2 - 12. Let f(l) be the second derivative of -l**4/12 + 62*l + 9. Calculate f(c(d)).
-484*d**4 - 528*d**2 - 144
Let w(b) = -2*b + 18. Let x(z) be the second derivative of -203*z + 0*z**2 + 1/3*z**3 + 0. Determine x(w(t)).
-4*t + 36
Let v(f) = 3*f. Let b(r) = 1785*r**2 + 210*r + 210. Let g(p) = -9*p**2 - p - 1. Let l(s) = 3*b(s) + 630*g(s). What is v(l(d))?
-945*d**2
Let z(y) = 15726*y + 6. Let k(f) = -2*f**2. Calculate z(k(j)).
-31452*j**2 + 6
Let y(x) = -2*x**2. Suppose 0 = -f + a - 0 + 5, -25 = -f + 5*a. Let v(m) = 14*m - 11*m + f - 50*m + 2. Give v(y(z)).
94*z**2 + 2
Let f = 173 - 155. Let l(z) = -48*z + f*z + 13*z + 24*z. Let p(b) = -13*b. Calculate p(l(y)).
-91*y
Let m(a) = 1148*a**2 - 119*a + 238. Let u(x) = 29*x**2 - 3*x + 6. Let r(b) = -6*m(b) + 238*u(b). Let w(n) = -5*n**2 + 3*n. Determine w(r(d)).
-980*d**4 + 42*d**2
Let p(g) be the third derivative of g**5/60 + 2*g**2. Suppose 56*i - 58*i = -4. Let n(h) = 5*h**i + 7*h**2 + 3*h**2 + 9*h**2. Calculate n(p(z)).
24*z**4
Suppose 0 - 2 = -2*p. Let m(o) = 14*o - 52. Let d be m(7). Let q(l) = d*l**2 - 52*l**2 + 1 - p. Let i(r) = -r. What is i(q(b))?
6*b**2
Let p be ((-8)/(-6))/(20/510). Let i(m) = -15*m**2 + 2*m - 2*m + p*m**2. Let y(s) = 31 - 48 + 17 - s. Determine i(y(c)).
19*c**2
Let t(m) = -6*m**2. Let l(i) = i**2 - 6*i - 25. Let o be l(9). Let x(k) = -13296*k - 2*k**o + 13296*k. What is t(x(r))?
-24*r**4
Let s(g) be the second derivative of -164*g**4/3 - 3780*g. Let b(z) = z. Determine b(s(l)).
-656*l**2
Let y(s) = 7*s**2 - 1 + 0*s**2 + 1. Let f(b) = 10034*b**2 - 5041*b**2 - 4992*b**2. Give y(f(c)).
7*c**4
Let c(r) = 1. Let v(j) = -2*j**2 - 6. Let f(n) = 6*c(n) + v(n). Let i(w) = 82376*w**2 - 164872*w**2 + 82396*w**2. Determine f(i(x)).
-20000*x**4
Let z(q) = 14*q. Suppose 12*w = 9*w + 162. Let b(k) = -152*k**2 + w*k**2 + 53*k**2 + 44*k**2. Give z(b(m)).
-14*m**2
Let v(f) = -2*f**2 + 95*f. Let x(k) = 6*k**2 + 51 + 448*k - 448*k - 51. Calculate v(x(b)).
-72*b**4 + 570*b**2
Let v(f) = 3*f**2 + 105*f. Let c(p) = 82926*p. Determine v(c(w)).
20630164428*w**2 + 8707230*w
Let x(c) be the first derivative of c**2 + 1. Let l(a) be the first derivative of 0*a**2 + 0*a - 4/3*a**3 + 116. Determine l(x(u)).
-16*u**2
Let t(z) = -2*z**2. Let o(d) = d - 8. Let j be 3 - 2 - (-47 + 51). Let n(h) = -9*h + 144. Let q(l) = j*n(l) - 54*o(l). Determine q(t(v)).
54*v**2
Let b(h) = 15*h**2 - 9*h + 9. Let o = 50 -
|
{
"pile_set_name": "DM Mathematics"
}
|
letters picked without replacement from qiiqqiqqqiii.
1/11
What is prob of sequence liis when four letters picked without replacement from {i: 5, s: 2, l: 2}?
5/189
Two letters picked without replacement from jjnjjn. Give prob of sequence jj.
2/5
What is prob of sequence vvxx when four letters picked without replacement from vovxxoovxvovoov?
1/182
Two letters picked without replacement from donnndddooojojd. Give prob of sequence jn.
1/35
What is prob of sequence bbwl when four letters picked without replacement from {l: 2, d: 3, k: 1, w: 1, b: 6}?
1/286
Calculate prob of sequence zwe when three letters picked without replacement from wzwzzzzwzwzzwzwzzze.
4/323
What is prob of sequence aa when two letters picked without replacement from aaaaaaagaaaaa?
11/13
Three letters picked without replacement from kbjjhjrrerbejk. Give prob of sequence rjh.
1/182
What is prob of sequence mnam when four letters picked without replacement from nanmmmnnmnannnmnnnn?
5/969
Four letters picked without replacement from jdjld. Give prob of sequence jjdl.
1/30
Four letters picked without replacement from osooooso. Give prob of sequence ooos.
1/7
Calculate prob of sequence xz when two letters picked without replacement from {z: 3, x: 3}.
3/10
What is prob of sequence hbfa when four letters picked without replacement from abbfphabfkbh?
4/1485
What is prob of sequence am when two letters picked without replacement from {a: 3, m: 7, v: 7, x: 2}?
7/114
Four letters picked without replacement from {c: 3, e: 6, z: 1, g: 3, u: 1}. Give prob of sequence eucc.
3/2002
Calculate prob of sequence dqc when three letters picked without replacement from dqqdcdoyddcmdmq.
6/455
What is prob of sequence vbvb when four letters picked without replacement from vvbbbve?
3/70
Three letters picked without replacement from zzzeetzzzpzzz. What is prob of sequence tpz?
3/572
Four letters picked without replacement from zzxtrxztjddrztzrxtz. What is prob of sequence ztzj?
5/3876
Three letters picked without replacement from gzbzmmmm. What is prob of sequence zgz?
1/168
Three letters picked without replacement from zmmmzmuzzzmzzmmzmzmz. What is prob of sequence mum?
1/95
What is prob of sequence ldd when three letters picked without replacement from dddddddddddl?
1/12
Calculate prob of sequence ddd when three letters picked without replacement from qddqddqqddd.
7/33
Calculate prob of sequence oe when two letters picked without replacement from {u: 4, e: 1, w: 3, o: 1, a: 6}.
1/210
Three letters picked without replacement from {t: 16, c: 4}. What is prob of sequence ttt?
28/57
Calculate prob of sequence udx when three letters picked without replacement from uuxrudxuuudddddux.
21/680
Calculate prob of sequence sdu when three letters picked without replacement from {o: 3, u: 10, s: 2, d: 1}.
1/168
Three letters picked without replacement from plpclccc. Give prob of sequence lcl.
1/42
Four letters picked without replacement from {x: 6, e: 1, m: 1, y: 3, h: 3}. What is prob of sequence myyx?
3/2002
Calculate prob of sequence ffe when three letters picked without replacement from {h: 5, m: 2, f: 2, e: 8}.
1/255
Four letters picked without replacement from {x: 5, o: 3}. Give prob of sequence ooox.
1/56
Calculate prob of sequence rrr when three letters picked without replacement from rrzrzkkizkzkkcckkkrk.
1/285
Two letters picked without replacement from {v: 1, r: 1, d: 4, z: 7}. Give prob of sequence rz.
7/156
Two letters picked without replacement from iurgwui. What is prob of sequence uw?
1/21
What is prob of sequence sx when two letters picked without replacement from {u: 1, v: 1, s: 1, x: 7, m: 5}?
1/30
Calculate prob of sequence hb when two letters picked without replacement from ddbhdbdh.
1/14
Calculate prob of sequence ddt when three letters picked without replacement from ttihthzhzizizhhddz.
1/816
Two letters picked without replacement from qqqqqqq. Give prob of sequence qq.
1
What is prob of sequence txu when three letters picked without replacement from uxxuhthttxxuhut?
32/1365
What is prob of sequence mjg when three letters picked without replacement from {j: 1, g: 6, z: 3, m: 7}?
7/680
Two letters picked without replacement from bbxxbbxbbbb. Give prob of sequence bx.
12/55
Calculate prob of sequence re when two letters picked without replacement from gokkkekkkekkkkgrver.
1/57
Three letters picked without replacement from {r: 10, m: 2}. What is prob of sequence rmm?
1/66
Calculate prob of sequence efe when three letters picked without replacement from {f: 1, e: 7, u: 9, y: 1}.
7/816
Two letters picked without replacement from {f: 1, l: 2, v: 4, e: 5, b: 4}. What is prob of sequence ll?
1/120
What is prob of sequence uq when two letters picked without replacement from {q: 3, n: 3, s: 1, a: 3, u: 1}?
3/110
Two letters picked without replacement from {f: 5, t: 2, p: 1, v: 1, r: 3}. Give prob of sequence tf.
5/66
Calculate prob of sequence yky when three letters picked without replacement from {k: 1, y: 2, c: 1, f: 4, m: 1}.
1/252
Three letters picked without replacement from ylanlqv. What is prob of sequence qln?
1/105
Three letters picked without replacement from {e: 2, p: 1, q: 6, h: 2, t: 6}. What is prob of sequence tet?
1/68
Calculate prob of sequence kp when two letters picked without replacement from {k: 2, h: 3, c: 4, t: 1, p: 6}.
1/20
Two letters picked without replacement from {z: 5, y: 8}. Give prob of sequence zz.
5/39
Four letters picked without replacement from {c: 2, d: 2, t: 4}. What is prob of sequence ttct?
1/35
What is prob of sequence av when two letters picked without replacement from affvfafzwww?
1/55
What is prob of sequence ttkk when four letters picked without replacement from {t: 2, k: 3}?
1/10
Two letters picked without replacement from {x: 2, m: 3, u: 1, i: 4, s: 1}. Give prob of sequence us.
1/110
Calculate prob of sequence vsv when three letters picked without replacement from ovsesvy.
2/105
Three letters picked without replacement from {x: 8, c: 2, t: 4, p: 5}. Give prob of sequence ptt.
10/969
What is prob of sequence cyc when three letters picked without replacement from {g: 10, u: 3, t: 1, c: 4, y: 1}?
2/969
Three letters picked without replacement from {p: 2, l: 6}. What is prob of sequence llp?
5/28
Calculate prob of sequence tv when two letters picked without replacement from qvtq.
1/12
Four letters picked without replacement from {s: 1, u: 2, l: 4, v: 4, m: 3}. Give prob of sequence ulsu.
1/3003
Calculate prob of sequence xj when two letters picked without replacement from {x: 1, j: 3}.
1/4
Three letters picked without replacement from fxllxxlxlxxxflfxl. What is prob of sequence xff?
1/85
Two letters picked without replacement from rxrvxrsrvrrrvrvrvxs. Give prob of sequence vr.
5/38
Calculate prob of sequence wuur when four letters picked without replacement from {w: 2, t: 5, r: 2, u: 4}.
2/715
What is prob of sequence tth when three letters picked without replacement from {q: 1, h: 3, t: 1}?
0
Calculate prob of sequence ez when two letters picked without replacement from {z: 1, u: 1, e: 1}.
1/6
Calculate prob of sequence ku when two letters picked without replacement from {k: 1, w: 1, u: 1}.
1/6
Four letters picked without replacement from hhmxmlhhlzul. What is prob of sequence umxm?
1/5940
Calculate prob of sequence wcws when four letters picked without replacement from {z: 2, j: 1, w: 2, c: 4, s: 1}.
1/630
Two letters picked without replacement from {x: 8, p: 8, e: 1}. Give prob of sequence ep.
1/34
Calculate prob of sequence gxix when four letters picked without replacement from {x: 10, i: 5, l: 1, j: 1, e: 2, g: 1}.
5/1292
What is prob of sequence nnun when four letters picked without replacement from {m: 1, t: 2, n: 1, u: 1, p: 1, k: 1}?
0
Four letters picked without replacement from ymmmymmymmmmmmmmmm. Give prob of sequence mmmm.
91/204
Calculate prob of sequence sbs when three letters picked without replacement from sssppspspbpspssfbw.
7/306
Two letters picked without replacement from pkpvkpppkvv. What is prob of sequence vk?
9/110
Two letters picked without replacement from hhhhphhqhhhhkq. Give prob of sequence qh.
10/91
What is prob of sequence mmm when three letters picked without replacement from jmimm?
1/10
Four letters picked without repl
|
{
"pile_set_name": "DM Mathematics"
}
|
Let v be j(s). Solve -2*f - v = -0*f for f.
-2
Let p be (-1058 + 12)/1*2/(-4). Let z = 539 - p. Suppose -q + 5*o + 18 = 0, -2*q - 15 = -6*q + o. Solve f = -q*f - z for f.
-4
Let n(l) = -l**2 + 13*l - 18. Let i be n(12). Let o be (14 + i)*(5 - 4). Solve 0 = 3*t - o*t for t.
0
Let b(g) = -2*g - 1. Let u be b(-3). Let l be (-4)/(-20)*(7 - 4 - 3). Suppose -w + l*v = v - 6, 0 = 3*w - u*v + 14. Solve 0*f + w = f for f.
2
Let i be (-4)/(((-36)/(-15))/(-3)). Let m be 0 + i - (-42)/(-21). Suppose 4*w - m*w = 0. Solve 2 = x - w for x.
2
Let p = -6 + 10. Suppose -p*n = 15*n. Solve n = -3*x + 5*x - 4 for x.
2
Let k = -15296 - -15296. Solve 30*q + 43 - 133 = k for q.
3
Let x(r) = 75*r + 2291. Let j be x(-30). Solve -23*s = j*s + 512 for s.
-8
Let s be -5 - 1288/(-2)*(-66)/88. Let i = s - -528. Solve -10*l = -0*l - i for l.
4
Suppose 111*o - 1179 = 107*o - 5*x, -2*x = 10. Solve -22*c = -65*c + o for c.
7
Let o be 11/13 + -1 - 55986/(-2418). Solve 3*l = -26 + o for l.
-1
Let w(l) be the first derivative of l**4/4 - 5*l**3 - 57*l**2/2 + 68*l + 18. Let r be w(18). Solve -12 = -20*y + r*y for y.
2
Let w(n) = -n**3 + 7*n**2 - 7*n - 1. Let u be w(6). Let q = u + 17. Solve -4*z + 18 - q = 0 for z.
2
Let z = 9663 + -9141. Solve -514*m = -z*m + 8 for m.
1
Suppose 3*a - 360 = -96. Suppose 49*d - 206 = a. Solve -d*f - 5 = 7 for f.
-2
Let y(z) = -417*z - 7084. Let r be y(-17). Solve r*v - 4853 = -4823 for v.
6
Let c = 683 - 663. Let h be -8*8/(-10 - -2). Solve h*n - c = 3*n for n.
4
Let l = 16146 + -16144. Solve l*d - d = 5*d for d.
0
Let g(t) = t**3 + 6*t**2 + 10*t + 10. Let p be g(-4). Let u be 6*p/3 - 2. Suppose 0 = -u*d - 75 + 83. Solve d*c + 1 = -11 for c.
-3
Suppose 2*w + 1126 = -5*b, 2*w = -b - w - 220. Let f = -218 - b. Solve 0 = 5*c + f + 7 for c.
-3
Let l = -8148 - -8264. Solve b + 28*b = l for b.
4
Let u(v) = 2*v**2 - 17*v - 55. Let p be u(11). Solve -2*c - 9*c - 55 = p for c.
-5
Suppose -5*w = 43*x - 44*x - 157, w - 173 = x. Let m = x + 184. Solve 8*o + 2 = m*o for o.
-2
Suppose -4*l + 2*x = -l - 154, -207 = -4*l + x. Let v(r) = -r**3 - 7*r**2 - 5*r - 22. Let a be v(-4). Let w = a + l. Solve 3 + w = i for i.
5
Suppose -5*q + 7*q = 10. Suppose y = -4*j + 1, -3*y - y + 4 = -q*j. Solve j = -0*i + 2*i + 6 for i.
-3
Let w(s) = 6*s**2 - 16*s. Let k be -1 + 15/9*3. Let i(c) = -17*c**2 + 48*c + 1. Let v(b) = k*i(b) + 11*w(b). Let j be v(8). Solve 0*p = j*p for p.
0
Let m be (-6)/((2340/182)/(-30)). Solve -38*a = -52*a - m for a.
-1
Let y(c) = -6*c**3 - 3*c**2 + 2*c - 5. Let g be y(-3). Let p = -120 + g. Solve 6*x - 2*x = p for x.
1
Let n = -2926 - -2938. Solve -99*s - n = -96*s for s.
-4
Suppose 5*s - 771 = -2*o, 5*o + 4*s - s - 1956 = 0. Let z = o + -384. Solve -z = 4*q + 7 for q.
-4
Suppose -4*a = 2*f - 18, -13 = -2*a - 9*f + 4*f. Solve 0 = u + a for u.
-4
Suppose -1487 = -16*b - 767. Solve -41 + b = v for v.
4
Let o be (-572)/(-8) - (-30)/20. Let j = 75 - o. Solve 0*i - j = i for i.
-2
Let w(p) = p**2 + 17*p + 32. Let z(k) = 3*k + 30. Let x be z(-15). Let t be w(x). Suppose -2*d + t = -4*q, -4*d + 3*q = 4*q - 13. Solve d + 1 = -2*r for r.
-2
Let k(v) = -4*v + 38. Let c be k(6). Let l be c + (0/13)/(3 - 2). Solve -5*h - 6 = l for h.
-4
Let n be 148/20 - (-3)/5. Let s = n - 8. Let c = 17 - 11. Solve c*j - j + 25 = s for j.
-5
Let r(b) = 195*b + 1572. Let v be r(-8). Solve v*g + 74 = 26 for g.
-4
Let p = 34 + -17. Let w(j) = 3*j**2 - 7*j + 2. Let y(g) = -3*g**2 + 7*g - 3. Let v(x) = -4*w(x) - 5*y(x). Let a be v(2). Solve p = -a*l - 8 for l.
-5
Let d(s) = -363*s + 8062. Let u be d(22). Solve -29*l - 76 = -u for l.
0
Suppose -5*x + 34 = 4*h - 42, -4*h = -x - 52. Solve -56*q - h = -42*q for q.
-1
Suppose -2*h = 18 - 24, -44 = -4*l + 4*h. Let d be (-5648)/(-144) - l - (-4)/(-18). Solve 0 = 28*m - d*m - 9 for m.
3
Let z = -12749 + 12761. Let g(j) = j + 1. Let b be g(1). Let a be 5 - b/(z/30). Solve 3*f + 2*f + 20 = a for f.
-4
Let g = 147148 + -147141. Let x(j) = -j**2 - 7*j + 6. Let z be x(-5). Solve g*c - z = 12 for c.
4
Let v = 2887 - 2882. Solve -104*k + 109*k = v for k.
1
Suppose 2*g + 2*r = 12, 3*r + 6 = -g + 18. Let d(x) = -x**3 + x**2 + 6. Suppose -v - 3*v = -3*w - 6, -2 = w. Let p be d(v). Solve -g*s + 5*s = -p for s.
-3
Let k(d) be the second derivative of d**5/20 - 3*d**4/4 + 5*d**3/6 - 11*d**2/2 - 6*d. Let h be k(9). Let b = h + -15. Solve -b - 1 = -5*a for a.
4
Suppose -683 = -25*g - 133. Suppose -g*q + 20*q = -2. Solve 9*d + 8 + q = 0 for d.
-1
Let s(x) = -2*x**3 - 3*x**2 + x - 296. Let w be s(0). Let q = 305 + w. Solve 11*z - q*z - 6 = 0 for z.
3
Suppose 24*v = 25*v - 9. Let p = v - 4. Let u(t) = t**3 - 11*t**2 + 10*t. Let w be u(10). Solve w = -p*z + 20 for z.
4
Let c(x) = -x**2 + 10*x + 100. Suppose -1 + 25 = -4*r. Let j be c(r). Solve 4 + j = 2*s for s.
4
Let u(b) = b**3 - 3*b**2 - 3*b - 7. Let o be u(5). Suppose 1188 - 107 = -47*y. Let z = y + o. Solve 0 = k - z + 4 for k.
1
Let k = 7628 - 7628. Solve k = 72*j - 68*j + 20 for j.
-5
Let b = -779 - -853. Suppose b = 2*j + 4*v, 12 = j - 7*v + 4*v. Solve -j = -8*y + 13 for y.
5
Let n(w) = -8*w**2 + 138*w - 20. Let s be n(17). Solve 16*q + 180 = -s*q for q.
-6
Let a(i) = i**3 - 9*i**2 - 4*i + 10. Let w be a(9). Let o = -12 - w. Let t be 48/28 + 4/o. Solve -5*m + t*m = 12 for m.
-4
Let d be (-48)/(-128) - (-4263)/24. Solve 0 = -173*x + d*x for x.
0
Let v be ((-14)/(-28) - (-6)/(-4))*-28. Let d(c) = c**3 - 27*c**2 - 26*c - 56. Let b be d(v). Solve b = -4*a + 8*a + 12 for a.
-3
Suppose -j + 3 = x + 27, 0 = 5*j + x + 108. Let o be 4/(-7) + j/49 - -4. Solve -4*n = o + 1 for n.
-1
Suppose 3*u - 5*u + u = 0. Suppose u = 4*z - 20, -19 = 2*c - 7*z + 2*z. Solve -7 = -l - c for l.
4
Let h be (-2 + (-5)/(-2))*(32 - 2). Suppose 9*l = 39 + h. Solve l*z + 3 = -15 for z.
-3
Suppose 70*a = 27*a + 9*a + 884. Solve -a = 13*f + 13 for f.
-3
Let o be (69/(-2))/(54/(-36)). Suppose -4*q = -2*j - 14, 20*j - 5*q + o = 23*j. Solve -j = -u - 1 for u.
0
Suppose 0 = 25*g - 6299 + 124. Solve g*c = 251*c + 8 for c.
-2
Let w = -6287 + 6287. Solve w = 9*n - 422 + 395 for n.
3
Let p(v) = v - 1. Let g(t) = -10*t + 22. Let c(q) = -2*g(q) - 18*p(q). Let r be c(15). Suppose -m = r*f - 8, 4*m = -4*f + 2*m + 4. Solve -f*k = -9 - 0 for k.
3
Suppose 0 = -3*h + g - 3, 2*g + 4 = -3*h + 10. Suppose h = r, -5*r = -p + 6 - 3. Suppose -4*l = 4*j + 4, -5*j - 3*l + p = -2. Solve 0 = -5*d + d + j for d.
1
Let q be 6/(-14) + (-579)/21. Let u be -2 - (1*-5 - (-29 - q)). Solve -y + 5 = -u*y for y.
-5
Let h(z) = 5*z**2 + 119*z - 623. Let k be h(5). Solve -k*i + 7 = -90*i for i.
1
Suppose -129 = -3*d + 3*u, d + 3*u + 213 = 6*d. Suppose -126*c - d = -133*c. Solve -c*q - 23 = -11 for q.
-2
Let t(n) = 2*n**3 - n**2 - 8*n + 15. Let f be t(3). Suppose -97*k = -103*k + f. Solve -11*x - k*x = -85 for x.
5
Let q(p) = p**2 + 8*p - 3. Let v be q(-9). Suppose 8*l = 341 - 2813. Let h = l + 321. Solve 3*x + h = v*x for x.
4
Let n be -58*(9 - 7/14). Let a = 588 + n. Solve a*k - 10 = 97*k for k.
-5
Suppose 3*r + 2*v - 334 = 4*r, 334 = -r - 4*v. Let g = r + 336. Solve -3 - 5 = -g*q for q.
4
Let a be ((-10)/(-4))/((-2)/(-4)). Let u = -1721 + 1725. Solve 0 = a*z - 1 - u for z.
1
Suppose -2*j = -j. Let k = 18 + -16. Let t = j + k. Solve -t*p + 10 + 0 = 0 for p.
5
Let u(s) = 7752*s**3 - 7756*s**3 - 30 + 2*s - 35*s**2 - 5. Let z be u(-9). Solve 0 = 10*b - z - 12 for b.
4
Let g be 0/3 - (14 + -10). Let i be ((0 - 2) + 1)*g. Solve u + i*u - 10 = 0 for u.
2
Suppose 4*a - 273 = v - 21, -a = -4*v - 63. Let b be -7*(2 - 216/a). Solve -10*c + b = -0*c for c.
1
Let q be (-2)/2 + -1 + 3. Let u = 955 - 949. Suppose -5*p = 2*x - u, -q - 2 = -3*p - x. Solve j + j + 10 = p for j.
-5
Let o be (-3 - -5) + 2 - 2. Suppose 0 = -c - 2*d + 3, -c + o*c + 4*d - 5 = 0. Solve -2 = m + c for m.
-3
Suppose d + 4 = 3*d. Suppose 0 = -47*w + 22*w + 50. Suppose 9*x = 5*x - w*x. Solve x*c - d = c for c.
-2
Let m = -122 + 126. Suppose 4 = 7*o + m. Solve o = -3*g + g for g.
0
Let b = -9824 + 9869. Solve 0 = -27*c + b*c for c.
0
Let o be 24/(-20)*(-235)/94. Solve o*f - 683 = -704 for f.
-7
Suppose 2 = -7*p + 30. Let l be ((-17)/2)/((-4)/8). Let k = 21 - l. Solve -k*b = -p - 0 for b.
1
Let j = -2832 - -2869. Solve 49*x = j*x - 24 for x.
-2
Let v(c) = -2*c**3 - 11*c**2 - 28*c - 22. Let i be v(-3). Solve 55*p -
|
{
"pile_set_name": "DM Mathematics"
}
|
ominator of -91/222 and 26.
222
What is the smallest common multiple of 198 and 6?
198
Calculate the smallest common multiple of 120 and 36.
360
Find the common denominator of -79/1462 and -49/860.
14620
What is the least common multiple of 40 and 105?
840
What is the lowest common multiple of 16 and 20?
80
What is the common denominator of -77/408 and 7/45?
6120
What is the lowest common multiple of 9780 and 1956?
9780
What is the smallest common multiple of 73 and 8?
584
Find the common denominator of -13/222 and 5/296.
888
What is the lowest common multiple of 3922 and 583?
43142
Calculate the lowest common multiple of 1575 and 945.
4725
Find the common denominator of 49/1450 and 81/290.
1450
What is the smallest common multiple of 138 and 414?
414
Calculate the common denominator of 37/122 and -10/7.
854
What is the common denominator of -13/399 and 8/1729?
5187
What is the common denominator of 1/15 and 101/6628?
99420
Calculate the common denominator of -79/30 and 52/15.
30
Calculate the smallest common multiple of 468 and 468.
468
What is the smallest common multiple of 90 and 15?
90
What is the common denominator of 121/720 and -59/7920?
7920
What is the smallest common multiple of 32 and 872?
3488
Calculate the lowest common multiple of 44 and 632.
6952
What is the common denominator of 13/9 and -155/132?
396
Find the common denominator of 89/240 and 71/4.
240
Find the common denominator of 42/115 and -99/100.
2300
Calculate the smallest common multiple of 286 and 11.
286
Find the common denominator of 5/7 and -14/923.
6461
What is the smallest common multiple of 16 and 564?
2256
What is the common denominator of 127/60 and 16/695?
8340
Calculate the lowest common multiple of 48 and 80.
240
What is the lowest common multiple of 1953 and 11?
21483
Calculate the least common multiple of 330 and 231.
2310
What is the smallest common multiple of 40 and 100?
200
Calculate the least common multiple of 176 and 44.
176
What is the lowest common multiple of 339 and 207?
23391
What is the lowest common multiple of 768 and 960?
3840
Find the common denominator of 55/994 and -75/1988.
1988
What is the common denominator of -31/24 and -32/3?
24
What is the common denominator of -71/54 and -5/27?
54
Find the common denominator of 31/20736 and 29/12.
20736
What is the common denominator of 5/4 and -67/17818?
35636
Calculate the common denominator of 45/62 and 50/7.
434
Calculate the least common multiple of 62 and 217.
434
Calculate the least common multiple of 6972 and 40.
69720
What is the lowest common multiple of 665 and 45?
5985
What is the least common multiple of 495 and 180?
1980
What is the common denominator of -67/375 and -29/21?
2625
Find the common denominator of 119/30 and 73/22.
330
Calculate the common denominator of -71/630 and -50/5229.
52290
What is the lowest common multiple of 483 and 147?
3381
Find the common denominator of -43/18 and 16/261.
522
Calculate the smallest common multiple of 842 and 22.
9262
Calculate the lowest common multiple of 6790 and 9506.
47530
Calculate the least common multiple of 10 and 535.
1070
Calculate the smallest common multiple of 112 and 28.
112
Calculate the common denominator of -49/1098 and -2/11.
12078
Find the common denominator of -36/385 and 18/605.
4235
What is the lowest common multiple of 6924 and 52?
90012
What is the lowest common multiple of 198 and 72?
792
What is the common denominator of 47/3654 and 115/252?
7308
Calculate the common denominator of -109/24 and 9/532.
3192
Calculate the lowest common multiple of 10 and 316.
1580
Calculate the common denominator of 67/10 and 25/1098.
5490
Calculate the common denominator of -19/72 and -2/27.
216
What is the lowest common multiple of 682 and 682?
682
Calculate the smallest common multiple of 4 and 632.
632
Calculate the common denominator of -87/1844 and 81/2.
1844
Calculate the smallest common multiple of 16222 and 10.
81110
What is the common denominator of -89/198 and -1/108?
1188
Find the common denominator of -40/9 and 13/66.
198
Find the common denominator of -151/648 and -77/1944.
1944
What is the lowest common multiple of 97 and 10?
970
What is the least common multiple of 16 and 14?
112
Calculate the least common multiple of 30 and 4632.
23160
Find the common denominator of -29/36 and -19/12.
36
Find the common denominator of 3/91 and -47/91.
91
What is the lowest common multiple of 15 and 40?
120
Find the common denominator of -71/711 and -31/553.
4977
What is the common denominator of -11/34 and -28/969?
1938
Calculate the lowest common multiple of 5 and 1600.
1600
Calculate the smallest common multiple of 4562 and 4.
9124
What is the common denominator of -91/5678 and 131/6?
17034
Calculate the smallest common multiple of 270 and 270.
270
What is the common denominator of -121/192 and -23/39?
2496
Calculate the lowest common multiple of 13559 and 3874.
27118
What is the common denominator of 101/1470 and 31/4?
2940
Calculate the common denominator of -7/458 and -115/18.
4122
Calculate the smallest common multiple of 87 and 116.
348
What is the smallest common multiple of 15 and 35?
105
What is the least common multiple of 8 and 1482?
5928
What is the least common multiple of 2872 and 32?
11488
Calculate the common denominator of 107/26 and -17/2.
26
What is the common denominator of 23/54 and -89/4?
108
What is the smallest common multiple of 60 and 8?
120
Calculate the common denominator of 42/2987 and 60/721.
20909
What is the lowest common multiple of 20 and 80?
80
What is the common denominator of 18/3481 and -8/11?
38291
Calculate the common denominator of 61/182 and -53/104.
728
Find the common denominator of -83/60 and 35/272.
4080
Calculate the common denominator of 79/140 and -62/133.
2660
What is the common denominator of -5/6 and -75/38?
114
Calculate the common denominator of 25/12 and 37/804.
804
What is the lowest common multiple of 27 and 9?
27
Calculate the lowest common multiple of 1500 and 40.
3000
Calculate the common denominator of 69/488 and 1/610.
2440
Find the common denominator of 19/40 and -7/96.
480
What is the lowest common multiple of 1340 and 50?
6700
What is the smallest common multiple of 10 and 3766?
18830
Calculate the common denominator of -85/88 and -115/132.
264
Calculate the least common multiple of 286 and 26.
286
Find the common denominator of 1/4 and 31/16.
16
Calculate the common denominator of -35/8 and 43/64.
64
Calculate the least common multiple of 4368 and 546.
4368
What is the smallest common multiple of 9 and 29?
261
Calculate the common denominator of -43/224 and -115/224.
224
Calculate the common denominator of -61/10 and 19/204.
1020
What is the lowest common multiple of 12 and 48?
48
What is the common denominator of 73/21 and -70/33?
231
What is the common denominator of 89/52 and 31/42?
1092
Find the common denominator of 46/55 and -179/330.
330
Find the common denominator of 12/25 and -81/50.
50
Find the common denominator of 49/20 and -107/14616.
73080
What is the least common multiple of 4524 and 6?
4524
Calculate the lowest common multiple of 333 and 14652.
14652
Find the common denominator of 10/77 and -61/70.
770
What is the common denominator of -36/77 and -4/121?
847
Calculate the lowest common multiple of 4 and 82.
164
What is the common denominator of -117/434 and -113/70?
2170
Calculate the common denominator of -14/6319 and -2/213.
18957
What is the least common multiple of 175 and 175?
175
Calculate the lowest common multiple of 24 and 620.
3720
What is the least common multiple of 169 and 1677?
21801
What is the lowest common multiple of 2 and 657?
1314
Calculate the smallest common multiple of 3014 and 19591.
39182
What is the common denominator of -93/2336 and -115/4088?
16352
Calculate the smallest common multiple of 2100 and 18.
6300
Calculate the common denominator of -45/28 and -81/4.
28
Calculate the lowest common multiple of 92 and 23.
92
Calculate the least common multiple of 314 and 4.
628
Calculate the lowest common multiple of 2427 and 30.
24270
What is the smallest common multiple of 18 and 10?
90
What is the smallest common multiple of 82176 and 2?
82176
Calculate the lowest common multiple of 344 and 136.
5848
What is the least common m
|
{
"pile_set_name": "DM Mathematics"
}
|
3
What is 40924 divided by -787?
-52
Divide 1135290 by 37843.
30
What is -528264 divided by -528264?
1
Divide 163348 by 194.
842
Calculate 1 divided by -1862631.
-1/1862631
616 divided by -19
-616/19
Calculate -3 divided by -423725.
3/423725
What is -11088 divided by -28?
396
Divide 37105 by 22.
37105/22
-8 divided by 315092
-2/78773
Calculate 2 divided by 40473.
2/40473
What is 504 divided by -14?
-36
Calculate 5020393 divided by 1.
5020393
Calculate -544079 divided by 43.
-12653
Calculate 10610 divided by 10610.
1
What is -33130 divided by 6626?
-5
21242290 divided by -2
-10621145
Calculate -312108 divided by -31.
10068
3 divided by -415572
-1/138524
What is 59 divided by 4236?
59/4236
What is 1408344 divided by -5656?
-249
-237734 divided by -5
237734/5
Calculate 137033 divided by 1.
137033
-627 divided by -13
627/13
-1627808 divided by -7
232544
Calculate -1550 divided by -62.
25
-1 divided by 10141
-1/10141
-95238 divided by -18
5291
What is -2501234 divided by -6?
1250617/3
161456 divided by 3
161456/3
Calculate 4 divided by 1679443.
4/1679443
What is 15 divided by 10894?
15/10894
-142360 divided by 142360
-1
Divide -70 by -597.
70/597
Divide -108460 by -986.
110
What is 2426424 divided by -6?
-404404
3 divided by -8044
-3/8044
Calculate -53 divided by 52.
-53/52
Divide 18306 by -3.
-6102
-243 divided by 213
-81/71
What is -1941238 divided by -2?
970619
Calculate 9975 divided by 7.
1425
Calculate -244650 divided by 1050.
-233
-2 divided by 6486
-1/3243
Divide -760884 by -1956.
389
Divide -3 by -1006734.
1/335578
Calculate -5359 divided by -10.
5359/10
Calculate 188600 divided by 1.
188600
15 divided by -8882
-15/8882
Divide -363 by -242.
3/2
Calculate 37810 divided by -199.
-190
What is -45378 divided by -22689?
2
Calculate -3532910 divided by -1.
3532910
Calculate 23958 divided by 33.
726
163 divided by 528
163/528
Divide -133267 by -1.
133267
7 divided by -35902
-7/35902
195642 divided by -3
-65214
-10 divided by 569
-10/569
Calculate -59349 divided by -4.
59349/4
What is 1 divided by 7731?
1/7731
2652093 divided by 884031
3
4 divided by -38035
-4/38035
What is -1389694 divided by 694847?
-2
Divide -5 by 49988.
-5/49988
Calculate 34236 divided by -8559.
-4
Divide -4 by -44212.
1/11053
Calculate 56770 divided by -5.
-11354
-28320 divided by -60
472
-110733 divided by -3
36911
1 divided by 516463
1/516463
What is -85335 divided by 5?
-17067
Divide 2973 by -5.
-2973/5
7818 divided by 3909
2
Divide 3 by 20236.
3/20236
3333 divided by -33
-101
21448 divided by 2681
8
Divide 775 by -537.
-775/537
Divide 105773 by 1.
105773
Calculate 5 divided by -58361.
-5/58361
Divide 12 by -9118.
-6/4559
Calculate 4653 divided by 3.
1551
Divide -21326 by -4.
10663/2
191739 divided by -10
-191739/10
Calculate 20004 divided by 11.
20004/11
What is -124500 divided by -31125?
4
Divide -29235 by 1.
-29235
Calculate 249460 divided by 49892.
5
Divide 65399 by 3847.
17
What is 5214 divided by -1?
-5214
Divide -89020 by -2.
44510
What is 97 divided by -17528?
-97/17528
What is -8148 divided by -28?
291
Divide -37145 by 17.
-2185
Divide -183685 by 85.
-2161
Divide -147436 by 4.
-36859
Divide 149106 by -24851.
-6
Calculate -7 divided by 17117.
-7/17117
Divide -44252 by -22126.
2
What is 8437 divided by -17?
-8437/17
Calculate -12 divided by 3969.
-4/1323
What is -236 divided by 10?
-118/5
What is -92244 divided by 92244?
-1
What is 2189 divided by 47?
2189/47
Calculate 130988 divided by -229.
-572
What is 250944 divided by -48?
-5228
What is 3525 divided by -10?
-705/2
Divide 939942 by 6.
156657
Calculate -1563714 divided by 3.
-521238
-177129 divided by 3
-59043
What is 192334 divided by -5?
-192334/5
What is 16 divided by 288?
1/18
Divide 48 by 7435.
48/7435
-8630 divided by -33
8630/33
What is 281025 divided by 3?
93675
Divide 132230 by 2.
66115
Divide -41468 by 2962.
-14
-6639 divided by -588
2213/196
1520 divided by -36
-380/9
Divide 44100 by 2205.
20
What is 16094 divided by -16094?
-1
Calculate -3 divided by 2406.
-1/802
-291947 divided by 6
-291947/6
Calculate 358918 divided by 51274.
7
Divide 202068 by -67356.
-3
Calculate -4632 divided by -7.
4632/7
-5292 divided by 1764
-3
Divide -67215 by -5.
13443
Divide -17799 by 6.
-5933/2
Calculate -1 divided by 164973.
-1/164973
355963 divided by 3
355963/3
Divide 8 by -11737.
-8/11737
What is 1 divided by -142276?
-1/142276
-734396 divided by -58
12662
Calculate 4 divided by 15284.
1/3821
Divide 88 by -18.
-44/9
-2 divided by -29291
2/29291
-66825 divided by 165
-405
Calculate -7367 divided by -9.
7367/9
What is 419415 divided by -1?
-419415
What is 87038 divided by 6?
43519/3
Divide 99576 by 3688.
27
Calculate -40 divided by 2423.
-40/2423
19 divided by -5496
-19/5496
Calculate 193609 divided by 689.
281
Calculate -8626 divided by 4.
-4313/2
What is 2 divided by 57546?
1/28773
Calculate -233576 divided by -43.
5432
138957 divided by 46319
3
Divide -129911 by -2.
129911/2
Divide 2172 by -68.
-543/17
What is -5056888 divided by -412?
12274
Calculate -4 divided by -11380.
1/2845
-5 divided by 17171
-5/17171
What is 49606 divided by -4?
-24803/2
Divide 91110 by -1.
-91110
What is 0 divided by -142608?
0
419094 divided by -702
-597
-327856 divided by 1
-327856
Divide 103446 by 3.
34482
What is 11172 divided by 114?
98
-693 divided by -21
33
Calculate -300183 divided by -100061.
3
Calculate 2 divided by 28325.
2/28325
Divide 5562 by 19.
5562/19
-994656 divided by -156
6376
0 divided by 8805
0
14 divided by 2736
7/1368
Calculate 50385 divided by 10077.
5
What is 16 divided by -9089?
-16/9089
128754 divided by 3
42918
Divide 2 by -50594.
-1/25297
Calculate -88 divided by 16641.
-88/16641
What is -52087 divided by -5?
52087/5
Calculate -11501996 divided by -4.
2875499
What is 998 divided by -8?
-499/4
Divide 2046654 by 1359.
1506
Divide 5 by 10048.
5/10048
Divide 0 by -18094.
0
-3 divided by -11194
3/11194
What is 5334 divided by -84?
-127/2
Calculate 113121 divided by -37707.
-3
Calculate -38238 divided by 2.
-19119
-9576 divided by -58
4788/29
What is -29368 divided by -3?
29368/3
Calculate 362405 divided by 2.
362405/2
What is -1853424 divided by 183?
-10128
What is 75360 divided by 60?
1256
What is 0 divided by -20133?
0
Calculate 2 divided by -44485.
-2/44485
What is -5 divided by 408976?
-5/408976
What is 919060 divided by -91906?
-10
What is -2 divided by 88317?
-2/88317
What is -2585 divided by -47?
55
Calculate 2 divided by 24672.
1/12336
56641 divided by -4
-56641/4
Calculate 3239628 divided by 4.
809907
Divide -39914 by 3.
-39914/3
2933558 divided by 3
2933558/3
What is 787 divided by 22?
787/22
Calculate -677616 divided by 304.
-2229
Calculate -14276 divided by -3569.
4
Calculate 1392571 divided by 4.
1392571/4
1 divided by -24368
-1/24368
-5971 divided by 102
-5971/102
Divide 39074 by -2791.
-14
Calculate -1529922 divided by 1.
-1529922
Divide -1026720 by 496.
-2070
34352 divided by 1
34352
-232211 divided by 677
-343
Divide -4898424 by 6.
-816404
What is 1635 divided by 57?
545/19
Divide -144769 by 2039.
-71
1803515 divided by 5
360703
What is -2152880 divided by 170?
-12664
-16529 divided by 9
-16529/9
Divide -474360 by 1416.
-335
What is -9729 divided by -96?
3243/32
Calculate 5228 divided by 163.
5228/163
Calculate -578 divided by 414.
-289/207
Divide 1042042 by -521021.
-2
What is 1488500 divided by 458?
3250
Divide 4849974 by -657.
-7382
Calculate 184 divided by -146.
-92/73
4780 divided by -187
-4780/187
Calculate -4322 divided by 2.
-2161
Calculate -16140 divided by 269.
-60
Calculate 203 divided by -3.
-203/3
What is -9 divided by -56066?
9/56066
Calculate -103427 divided by 3.
-103427/3
Divide 27864 by 87.
9288/29
Calculate 489605 divided by 5.
97921
Calculate 3 divided by 276780.
1/92260
What is 62 divided by -1661?
-62/1661
Calculate -36552 divided by -18276.
2
What is 7018 divided by 192?
3509/96
Divide 11888 by 9.
11888/9
56351 divided by 1523
37
What is -29187 divided by -9729?
3
1387364 divided by -31531
-44
-15443784 divided by 3
-5147928
Divide 187 by 51.
11/3
-131416 divided by -5
131416/5
75089 divided by -8
-75089/8
What is -953460 divided by -317820?
3
11 divided by -7909
-1/719
Calculate 15678 divided by 603.
26
-59858 divided by 1
-59858
14762 divided by -22
-671
Calculate 133114 di
|
{
"pile_set_name": "DM Mathematics"
}
|
is the nearest to -1/2? (a) 0.2 (b) -0.1 (c) -11 (d) 2/11
b
What is the closest to 4 in -6, -0.5, -387?
-0.5
Which is the closest to 0? (a) 2/11 (b) 2 (c) -2201 (d) 1/2
a
What is the nearest to -0.1 in 108, -1.809, 1/2?
1/2
Which is the nearest to -1? (a) 0.2 (b) -612/5 (c) 0.3 (d) -0.5 (e) -2
d
Which is the nearest to 34? (a) 14/13 (b) 1 (c) 0.4 (d) 155 (e) 1/2
a
What is the closest to 16 in 0.5, -0.6, 5, -0.1?
5
What is the closest to 1 in 15, -5, -4/4547, -0.5?
-4/4547
What is the closest to -0.1 in -293/5, 1, 0.1, -94?
0.1
Which is the nearest to -2.2? (a) 0.4 (b) 0.11 (c) 2/13 (d) 0.1
d
What is the nearest to -1 in 1.4, -6/151, -1/4?
-1/4
What is the nearest to 0.9 in 351, -3, -0.1?
-0.1
Which is the nearest to 4? (a) -0.5 (b) -2/7 (c) 3.5 (d) -0.1
c
Which is the nearest to 0.4? (a) 3 (b) -490 (c) -1/2 (d) 1
d
What is the nearest to 2 in 0.1, 9/7, -0.5, 5, -3/8?
9/7
Which is the closest to -0.1? (a) 50/3 (b) -1/3 (c) 2/65
c
What is the closest to 1/3 in 0.57, 0.3, -56.864?
0.3
What is the closest to 9 in -5, 3/7, 0.3, 0.5?
0.5
What is the closest to 0 in 516458, 5, 0.5?
0.5
Which is the closest to 2? (a) -49 (b) -89.5 (c) 4 (d) -0.3 (e) 5
c
Which is the closest to 1.362? (a) 0.5 (b) 4 (c) 4/11
a
What is the closest to 74 in -0.08, 4, 0.08?
4
What is the nearest to -1/9 in 1/254, 4, -4, 2/15?
1/254
Which is the nearest to 0? (a) -1/2 (b) 7/12 (c) 9 (d) 0
d
Which is the nearest to -3/382? (a) -0.09 (b) -1/4 (c) 0 (d) -0.1 (e) 0.4
c
What is the closest to 0.22 in 0.4, 735, 9/4, -0.2?
0.4
What is the nearest to -0.2 in 16, -2/11, -0.32?
-2/11
Which is the nearest to -14/9? (a) 8 (b) -1/6 (c) 196
b
Which is the nearest to -0.3? (a) -5 (b) -3 (c) -4 (d) -405 (e) 3/4
e
What is the nearest to 12/17 in 4, 2/5, 14493?
2/5
What is the closest to -2/7 in 148, -0.5, 27?
-0.5
Which is the closest to 6? (a) 932 (b) 2 (c) -4 (d) -2 (e) -1/4
b
What is the nearest to 0.043322 in 0.5, 0.4, 7, 0.2?
0.2
Which is the closest to -47/6? (a) 1/3 (b) -2 (c) -0.4
b
Which is the nearest to -0.03? (a) -7 (b) -2 (c) 53/6
b
What is the closest to 11 in 0, 35, 3, -3?
3
Which is the closest to 2/1281? (a) 5 (b) -1 (c) 1/10 (d) 0.4
c
Which is the nearest to 1/6? (a) 1 (b) 8/2283 (c) 0.4
b
Which is the closest to 0.1? (a) 428 (b) -795 (c) -1
c
Which is the closest to -100? (a) -0.2 (b) 2/3 (c) -0.32
c
Which is the nearest to 0.2? (a) 30 (b) 0.5 (c) 5 (d) -7/2
b
Which is the nearest to 0.1? (a) -4 (b) 4421 (c) 7
a
Which is the closest to -36? (a) 14/41 (b) 2 (c) -4 (d) 5/4
c
Which is the closest to 46? (a) -3 (b) 2/71 (c) 10
c
Which is the closest to 0? (a) -3/2 (b) -4 (c) -112 (d) -3 (e) -125
a
What is the nearest to -542/3 in 4, -2, -2/9?
-2
Which is the closest to 5? (a) -3 (b) -0.2 (c) 133.6
b
What is the nearest to -0.2 in -10/19, 0.3, -6?
-10/19
Which is the closest to 0.1? (a) -0.3 (b) 0.03 (c) 37297
b
What is the nearest to 1/5 in -11, 2/25, 0.8, 2?
2/25
What is the closest to 0.1 in -1.3, 4, -0.2, -6/11, 53?
-0.2
Which is the closest to 266? (a) -2 (b) -3/31 (c) 0.3
c
Which is the closest to 199? (a) -1/5 (b) -1/3 (c) -2/15 (d) 1/4 (e) -0.3
d
What is the nearest to 0 in 2, 9, 0.3, 26, -4.75?
0.3
Which is the nearest to -1/3? (a) -0.6 (b) -0.1 (c) 1/2478
b
Which is the closest to 0.02? (a) 11/2 (b) 9 (c) -2.3 (d) 4 (e) -0.1
e
What is the nearest to 4 in -0.13, -0.1, -20?
-0.1
What is the nearest to 0.9 in -0.2, -69, -8/5, -1/2?
-0.2
Which is the nearest to -25? (a) 1.38 (b) -28 (c) -0.4
b
What is the nearest to 2/7 in -0.01, -0.4, 0.002, 0.3?
0.3
What is the closest to -0.1 in -0.070345, -2, -4, 5?
-0.070345
Which is the nearest to -4/73? (a) -2/7 (b) 2/7 (c) -2/17 (d) -3 (e) -1
c
Which is the nearest to -5/2? (a) 1/6 (b) 1973 (c) 5/2
a
What is the closest to 19 in -137, 2/9, -0.02?
2/9
Which is the closest to 1? (a) -0.3 (b) 2 (c) -10 (d) 63.7 (e) 4
b
What is the nearest to 0.1172 in 2, -2/9, -2/27?
-2/27
Which is the closest to -2/7? (a) -2 (b) 206 (c) -21/4 (d) 4
a
What is the nearest to 1/5 in -1076/9, -2/11, 2, -5?
-2/11
Which is the closest to -0.1? (a) -3 (b) -0.6 (c) -0.057 (d) 1/2 (e) -5
c
What is the nearest to -1/2 in -0.2, 4, 721?
-0.2
What is the nearest to -2/131 in 2, -1, -249?
-1
What is the nearest to -1 in -23751, 4, -4/7, 1/7?
-4/7
What is the closest to 6 in 1/185, 0.5, -0.6?
0.5
What is the closest to 2/5 in 1, 15, 9, -2?
1
Which is the closest to -2374? (a) -1/3 (b) -5 (c) 1/4 (d) -1/5
b
What is the nearest to 7/12 in 7.5, -8, -2/17?
-2/17
What is the closest to -0.1 in -3, -2, -1743, 5?
-2
What is the closest to -548 in 1/2, 2, 43?
1/2
What is the nearest to -1 in 223/4, -0.6, 1/19, 0.5, 3?
-0.6
Which is the closest to -3? (a) 4 (b) -5 (c) -22 (d) 1
b
What is the closest to 0 in -3/5, 13, -1, 183?
-3/5
What is the closest to -0.1 in 26, 0, 0.5, -2, 7/3?
0
Which is the nearest to -1? (a) 22 (b) 0.5 (c) -20 (d) -0.5
d
Which is the nearest to 11? (a) 2/7 (b) 5 (c) 89 (d) -5
b
Which is the nearest to 2? (a) 1/13 (b) -0.1 (c) 0.26 (d) -2
c
What is the nearest to 2/29 in -3/8, 64, -9?
-3/8
Which is the closest to -4/25? (a) 4 (b) -8 (c) 1/3 (d) -14
c
What is the nearest to 1 in 30, -0.1, 0, 22, 4?
0
What is the closest to -6 in -7/2, -21, 4/3, 0.81?
-7/2
What is the nearest to -1011 in -6, 1, -0.3?
-6
What is the nearest to -0.13 in -1/5, 40, -91?
-1/5
Which is the nearest to 1? (a) -18 (b) -16 (c) -0.04 (d) 1/2 (e) 11
d
What is the nearest to -117 in 0, -96, -3/7?
-96
Which is the closest to 34? (a) -6 (b) -1/4 (c) 58
c
What is the closest to -5 in 2, -1/4, 385, -0.1?
-1/4
What is the closest to -7 in 59/6, -2, 3, -0.5?
-2
Which is the closest to -1.681? (a) -3 (b) 1/3 (c) 2
a
What is the nearest to -0.1 in -8, 0.1, 1/1337, 5, 0.5?
1/1337
Which is the closest to -738? (a) -0.4 (b) 1 (c) -3 (d) 0.2
c
Which is the nearest to -226.8? (a) 0.01 (b) 0.15 (c) 5 (d) -2/5 (e) 1/10
d
What is the closest to -22 in -0.2, 5, 100?
-0.2
What is the nearest to -1 in -186.7, 0.5, -0.3, 20, 1/3?
-0.3
What is the closest to -0.14 in 2/5, -3, 41, -6/11?
-6/11
What is the closest to -0.4 in 20, -5.9, -5, -2?
-2
Which is the closest to -1.03? (a) 0.4 (b) 3/5 (c) 1/18
c
Which is the closest to 1? (a) 4/15 (b) -56 (c) -0.06
a
What is the closest to 2 in 0.4, -19940, -2, 1, -3?
1
Which is the nearest to -1404? (a) -4 (b) 4 (c) -2 (d) -1/2
a
What is the nearest to 0 in -0.2, 1/3, 0.13, 0.21, 0.3?
0.13
What is the nearest to 0.01 in 7, 2/17, 0?
0
What is the closest to 1 in -2/11, -2/1041, 1, 8?
1
What is the closest to 2 in -2/5, 1/30, -19, 9/7?
9/7
Which is the nearest to -2/9? (a) 0 (b) 1.6 (c) 1/9 (d) 1/4 (e) 4/13
a
What is the nearest to 1/4 in 19, -4, 4, 21?
4
Which is the nearest to -1? (a) -3/4 (b) 114 (c) 75 (d) 3/5
a
Which is the nearest to -8? (a) -8 (b) -5 (c) 0.1 (d) -2
a
Which is the closest to -0.029? (a) -5 (b) 580 (c) -1/4 (d) -0.1
d
Which is the nearest to -1? (a) -0.0307 (b) -1 (c) 2 (d) -0.4 (e) -0.047
b
What is the nearest to -0.2 in -6, 6, -964?
-6
What is the nearest to 1 in 2, 15, -2.15?
2
What is the nearest to 1 in -2/3, -2.1, 150?
-2/3
Which is the closest to -2/5? (a) -1 (b) 0.004 (c) -181/5
b
What is the nearest to -205 in 1, -7, -3/2, -0.26?
-7
What is the closest to -2.1 in 4, 58, -5?
-5
What is the nearest to -3/7 in -47, -2, 0.5?
0.5
Which is the closest to 0.2? (a) -10/3 (b) -3/7 (c) 16
b
Which is the nearest to 7? (a) 2/25 (b) 0.5 (c) -38 (d) 5
d
What is the closest to 2/7 in -5, 8, 4885?
-5
What is the nearest to 181.2 in 1/5, -0.3, 0.75?
0.75
Which is the nearest to 2/17? (a) 0.5 (b) -2/15 (c) 3/4 (d) 7/3
b
Which is the nearest to -2/5? (a) -274 (b) -22/3 (c) 4
c
What is the closest to 0 in 7.7, 2/17, -1.4?
2/17
What is the closest to -5.3 in 1/2, 2/3, -74, 0.07, -4?
-4
Which is the closest to 0.1? (a) 1.6 (b) -3.89 (c) 0.3
c
What is the nearest to -2/5 in -6/7, 1, -3/2, 23, -38?
-6/7
What is the nearest to 0 in -39, -1/6, -1, -0.12?
-0.12
What is the nearest to 0.2 in -5, -0.03, -6/19, 146?
-0.03
What is the closest to 2 in -2, 4, 1, 4/71?
1
Which is the nearest to 14? (a) 16 (b) -2 (c) 0.4
|
{
"pile_set_name": "DM Mathematics"
}
|
-35*b**2 + 61*b**2 + 36*b**2).
-124*b**3
Expand -118*j + 118*j + 5*j**2 + (j + 3 - 3)*(0*j + j - 2*j) - 2*j**2 + j**2 + 2*j**2 + 2 - 2 + j**2.
6*j**2
Expand (2*g + 0*g + g)*(-6*g**3 + 0*g**4 - 7*g**4 + 8*g**4).
3*g**5 - 18*g**4
Expand (-54*y - 2 - 11*y - 7*y)*(-2 + 2 - y).
72*y**2 + 2*y
Expand (-2*m - 14*m - 3*m)*(-2*m**3 + 0*m**3 + 2*m**2 + 1 + 0).
38*m**4 - 38*m**3 - 19*m
Expand (0*a**2 - 2*a**2 + 3*a**2 + (a - a - 2*a)*(-1 + 1 - 2*a) - 18*a**2 + 81 - 81)*(-4*a + 2*a + a).
13*a**3
Expand -1 - 2*d + 1 + 0*d + d - 3*d + (2*d + d - 6*d)*(3 - 1 + 0) + 0*d + 2*d - 3*d.
-11*d
Expand (-2 + 1 + 3)*(-3*k + 0 + 0) - 2*k - 2*k + 3*k - 1.
-7*k - 1
Expand -65*i**2 - 11*i**2 + 5*i**2 + (-i + 2*i - 3*i)*(2*i - 3*i - i) + 1 - i**2 - 1.
-68*i**2
Expand -b + 4*b - 4*b + (-4 + 2 + 4)*(4*b - b - 2*b) + 3*b - 2*b + 2*b.
4*b
Expand (0*x + x**2 + 0*x)*(83 + 17*x - 83)*(4*x + 0*x - 2*x).
34*x**4
Expand (-2*f - f + 4*f)*(f**2 - 20*f**3 - f**2).
-20*f**4
Expand 0*g - g**3 + 0*g + 3*g - 3*g + 2*g**3 + (-2*g + 3 - 3)*(-g**2 + g**2 - g**2) - g**3 + 5*g - 5*g.
2*g**3
Expand (-u**3 + 0*u**3 + 6*u**3)*(10*u - 1 - 3*u - 5*u).
10*u**4 - 5*u**3
Expand ((d + d + 0*d)*(-d**2 - 2*d**2 + d**2) - 73 - 71*d**3 + 20*d**3 + 75)*(-3 + 3 + d**2).
-55*d**5 + 2*d**2
Expand (3*x - 3*x - x)*((4 + 2 - 7)*(-2 - 1 - 1) + 2 + 3 - 4 + 0 - 1 + 2) + (x - x + x)*(-2 - 2 + 2) + (3 - 2 + 1)*(0*x + 2*x + 0*x) - 2*x - 1 + 1.
-6*x
Expand (-3 - 1 + 3)*(-4*t**3 + 3*t**3 + 4*t - 3*t).
t**3 - t
Expand (-1 + 5 - 5)*(-2 + u**2 + u**2 + 3).
-2*u**2 - 1
Expand (-t + 4*t - t)*(8 - 4 - 1) + (5*t - 2*t - t)*(3 - 5 - 2).
-2*t
Expand (-4 + 3 + 0)*(-2 - 2*g + 2)*(18*g**3 + 11*g**3 - 10*g**3).
38*g**4
Expand -4*n + 0*n + 5*n + (2 + 1 - 5)*(2 + 2*n - 2) - 2*n - n + n - n + 3*n - n - n + 3*n - n - 2 - 3*n + 2 + (2*n + 0*n - 3*n)*(1 + 2 - 1).
-8*n
Expand (0 + 2 - 3)*(-2*m + 2*m - 2*m)*(1 + 0 - 4)*(0 + 0 + 2).
-12*m
Expand (1 - 6 + 2)*(-9*w + 5*w - 2*w).
18*w
Expand (17 - 3 + 4)*(-3*g + 3*g + 3*g).
54*g
Expand 2*n + 0*n**5 - 4*n**5 + 3*n**5 - 2 + (-n + 2*n - 7*n)*(0*n**4 - 2*n**4 + 0*n**4).
11*n**5 + 2*n - 2
Expand -4*i**3 + 2*i**3 - i**3 - 4*i + 4*i - 2*i**3 + (-2*i**2 - i**2 + 2*i**2)*(2*i + 2*i - 3*i) + 0*i**2 + 2*i**3 + 0*i**2.
-4*i**3
Expand (-4*n + 2*n - 5*n)*(3*n + 0*n - 6*n)*(0*n + n + 0*n)*(-1 + 5 - 2).
42*n**3
Expand (-4*x + 2*x + x + (6 - 1 - 3)*(0*x + 0*x + 2*x) + 3 - 3 + x + 2*x - 6*x + 2*x + 1 + 3*x - 1)*(-72 + 72 + 6*x**2).
30*x**3
Expand (3 - 2 - 3)*(41*q - 20*q - 70*q).
98*q
Expand (3*f - 5*f - 3*f)*(4*f - 4*f - 2*f) - f**2 - 3 + 3 + (f - f + f)*(-f + 0*f + 0*f) - 4*f**2 + 2*f**2 + 0*f**2.
6*f**2
Expand (-w**4 - w**4 - 3*w**4)*(3 + 1 + 0*w + w).
-5*w**5 - 20*w**4
Expand -2*i - 4 + 4 + (-2*i + i + 0*i)*(0 + 3 - 1) - 1 - 5*i + 1 + (-3 + 3 - 2)*(4 - 4 - 2*i) + 2 - 2 - 2*i - i + 0*i - i.
-9*i
Expand (11 - 5 + 8)*(-5*m - m + 3*m).
-42*m
Expand (3 - 4 - 3)*(-6*z + 3*z + z + 2*z**2 + 1).
-8*z**2 + 8*z - 4
Expand (-1 + 3 - 11)*(-c**4 - 2*c**4 + 4*c**4).
-9*c**4
Expand (45 - 60 - f**4 - 4*f**4)*(3*f - 3*f - f).
5*f**5 + 15*f
Expand (3*g**2 - 12*g + 12*g + (0*g + 0*g - 2*g**2)*(1 - 2 - 1))*(g - 3 + 3).
7*g**3
Expand (7*p**3 - 88 + 88 + 4*p**3 - 4*p**3 - p**3 + (4*p + 2*p**2 - 4*p)*(p + 0*p + 0*p) + p**3 - 3*p**3 + 3*p**3 + p**3 - 2*p**3 + 3*p**3)*(2*p**2 - 2 + 2).
22*p**5
Expand 3 - 3 - 3*k**2 + ((k - k + 2*k)*(3 - 1 - 4) + 1 + k - 1)*(-2*k + 4*k - 6*k).
9*k**2
Expand (3 - 1 - 4 + (1 - 1 - 2)*(-5 + 2 - 14))*(0*g + g - 3*g) - 2 + 2 + g.
-63*g
Expand (-1 + 4 - 2)*(-4*p + p + 6*p) + 4*p + 0*p - 3*p - 3*p + 3*p + 2*p.
6*p
Expand -n**5 + n**5 + n**5 + (5*n - n - n)*(n - 2*n**4 - n + (2*n**2 - 6*n**3 - 2*n**2)*(-n - n + n) + (n - 2*n - n)*(n**3 - 4*n**3 + n**3)).
25*n**5
Expand (4 + 0 - 2)*(-n - 3*n + 2*n) + (2*n - 5*n + 4*n)*(-2 + 5 - 1).
-2*n
Expand (2 - 2 - 1 + (1 - 3 + 0)*(0 + 0 - 2) + 3 - 6 + 2)*(2*r**2 + 0 + 0 + 2*r**3).
4*r**3 + 4*r**2
Expand -3*b**2 + 0*b**2 + 9*b**2 + b**2 + b - b + (0*b**2 + 2*b**2 + 0*b**2)*(-2 + 1 + 2) - b**2 + b**2 - b**2 - 2*b**2 - 3*b**2 + 0*b**2.
3*b**2
Expand -2*c + 6 - 3 + 0*c + (4 - 4 + 16*c)*(-3 + 1 + 0).
-34*c + 3
Expand 2*a**5 + 3*a**5 - 4*a**5 + (a**3 - a**2 + a**2)*(0*a**2 + 0*a**2 - 2*a**2) + 6*a**5 + 2*a**5 - 2*a**5.
5*a**5
Expand 2*p**2 - 2*p**2 + p**2 + (0 + p + 0)*(-p + 0*p - p) + p - p - 3*p**2.
-4*p**2
Expand (4 - 1 + 0)*(-2 - 2 + 2)*(4*m + 2*m - 4*m) + (4 + 1 - 3)*(0*m + 0*m - m) + 2*m - 2*m - m - m - 2*m + 5*m.
-13*m
Expand (a**2 + 2*a**2 - 5*a**2)*(-2*a + 0 + 0) + 2*a + 14*a**3 - 2*a.
18*a**3
Expand (-2*i**3 + i**2 - i**2)*(1 - 1 + 2) + 4*i**3 - 12*i**3 - 4*i**3 + (3*i + i - 2*i)*(-3*i**2 + i**2 + i**2) + 2*i**3 - 2*i**3 - 2*i**3.
-20*i**3
Expand (-n**3 + 6*n**3 + 0*n**3)*(2*n**2 - 3*n**2 - 4*n**2) + (0*n + n + n)*(2*n**4 + 4*n**4 - 7*n**4) + 4*n**5 - 3*n**5 + n**5.
-25*n**5
Expand (-2*d - 2 + 2)*(-116*d**4 - 51*d**4 - 122*d**4 + 76*d**4).
426*d**5
Expand (2 - 8 + 2)*(-f**2 - 2 + 2) + f**2 + 2*f**2 - f - 2*f**2.
5*f**2 - f
Expand (-m**2 + 4*m**2 - 2*m**2)*((2*m + 3*m - 4*m)*(2*m + m - 2*m) - 3*m**2 + 7*m**2 - m**2).
4*m**4
Expand ((-2*w + 2*w - 2*w)*(0 - 5 + 2) - 2*w - 1 + 1)*(0*w**2 + 0*w**2 - w**4).
-4*w**5
Expand ((1 - z - 1)*(1 + 2*z - 1) + z**2 - 2*z**2 - 2*z**2 - 5*z**2 + 4*z**2 + 2*z**2)*(-5*z**3 - z**3 + 5*z**3).
4*z**5
Expand (-5 + 5 + q + (2*q - 4*q + 4*q)*(0 - 1 - 1) + 1 - 2*q - 1)*(-q**2 + 6*q**2 - 4*q**2) + 4*q**3 - 9*q**3 - 4*q**3.
-14*q**3
Expand (c - c + c**2)*(1 - c**2 - 1)*(-1 + 4*c + 1).
-4*c**5
Expand (-y - y + y)*(10*y + 2*y**2 + y**2 - 11*y - 1).
-3*y**3 + y**2 + y
Expand (2*h + 0*h - h)*(-4*h**3 + 2*h**3 + h**3) + (5*h**2 - h**3 - 5*h**2)*(10*h + 2*h - 2*h).
-11*h**4
Expand (1 - 1 - m**2)*(-193*m + 201*m - 165*m).
157*m**3
Expand (-6*k - k + 0*k)*(-2 + 2 - 2*k) + 0*k**2 - 3*k**2 + 4*k**2.
15*k**2
Expand ((-2 - 3 + 6)*(-b + 2*b - 3*b) + 12 - 9 - 2 - 17*b)*(-2 + 2 + 2).
-38*b + 2
Expand (-4*d**2 + 4*d**2 - 2*d**3)*(-13*d + 13*d + 24*d**2).
-48*d**5
Expand -3 + 2*x + 3 + (-2*x + 3*x - 3*x)*(-1 + 2 - 3) + 0 + 0 + 2*x + 0 + x + 0 + 2*x + 4 - 4 + 0*x - 74*x - 46*x + 16*x.
-93*x
Expand (2*u - u + 1 - 2*u)*(-2 + 1 + 3)*(2*u - 2*u + 2*u).
-4*u**2 + 4*u
Expand -2*p - 2*p**4 + 2*p + (3*p - 4*p + 2*p - 2*p - 2*p + 2*p + 3 - 3 - p + (1 - 4 + 1)*(0*p + 2*p - p) + 2*p + 3*p - 2*p)*(p**3 - 8*p**3 + 0*p**3).
5*p**4
Expand -14*b**2 + 9*b**3 + 14*b**2 - 3*b**3 - 2*b**3 + 4*b**3 + (1 - 2*b - 1)*(-2*b**2 - 2 + 2) + 3*b**3 + 2*b**2 - 2*b**2.
15*b**3
Expand (3 - 14 + 54)*(s**2 - 3*s**2 + 5*s**2).
129*s**2
Expand (2*k - 3 + 3 + k - 5*k + 3*k + (-k - 2*k + k)*(4 - 3 + 1) + k + 1 - 1 - 2*k - 2 + 2)*(-2*k + 3*k + 3*k) + (-2*k - 2*k + 3*k)*(3*k + 0*k - 4*k).
-15*k**2
Expand -s**3 + 0*s**3 + 0*s**3 + (-2 + s + 5 + 3)*(-s**2 - 5*s**2 + 4*s**2).
-3*s**3 - 12*s**2
Expand 1 - o - 1 - 5 + 2*o + 5 + (4 + 0 - 2)*(2*o - 2 + 2) + (0 + 0 - 1)*(3*o + 3*o - 5*o) - 10556 - 142*o + 10556.
-138*o
Expand (-4 - 7*k + 4)*(5*k**3 + 0*k**2 + k**2 + 1 - 4*k**3).
-7*k**4 - 7*k**3 - 7*k
Expand (-6 + 2 + 3)*(6*z + 79 - 79).
-6*z
Expand (539 - 539 + 24*b)*(4*b + b - 4*b).
24*b**2
Expand (-3*d + 0*d + d)*(1 + 0 + 0)*(2 - 1 + 1)*(-3 + 6 - 2).
-4*d
Expand (6*q - 5*q + 0*q)*(-5 + 4 + 2 + (4 + 0 - 2)*(-2 + 0 + 1) + 1 - 1 + 2).
q
Expand 4 - 2*h**2 - 4 + (0 - 1 + 2)*(h + h - 5*h)*(2 - 2 - h).
h**2
Expand (0 + 2 - 5)*(2*t + 2*t - 7*t)*(-1 + 2 - 3) - 6*t + 3*t + 5*t.
-16*t
Expand (0*r**3 + 3*r**3 - r**3)*(-5*r**2 + r**2 + r**2) - 3*r**3 + 4*r**5 - r**5 - 6*r**5.
-9*r**5 - 3*r**3
Expand (0*l**3 - 2*l**3 + 0*l**3)*(2 + l - 2) + 2*l**4 + 2*l + 6*l**4 - 7*l**4 + 3*l**2.
-l**4 + 3*l**2 + 2*l
Expand (0*u - 3*u + 2*u)*(-5*u + 3*u + 3*u) + 13*u**2 + u + 14 - 14.
12*u**2 + u
Expand (s + 3*s**4 - s)*(3 - 1 - 2*s + 1).
-6*s**5 + 9*s**4
Expand (-k + 0*k + 2*k)*(2 - k - 2) + (-1 + 1 + 3*k)*(4*k - k - 2*k).
2*k**2
Expand 7*r + r**5 - 7*r + (4*r - 4*r - r**2)*(3*r - 2*r**3 - 3*r) - 5*r**5 + 4*r**5 + 2*r**5.
4*r**5
Expand 5*x**5 + 2*x**5 - 3*x**5 + (-5*x + 4*x + 0*x)*(-2*x**4 + 3*x**4 - 3*x**4) - 2*x**5 - 5*x**5 + 2*x**5.
x**5
Expand (-2*t**2 + 3*t - 4*t + t**2)*(-5*t - 9*t - 4*t).
18*t**3 + 18*t**2
Expand (7 - 3 + 2)*(-2*l + 2*l + 3*l) + (2*l - l + l)*(2 + 2 - 3) + 0*l - l + 3*l.
22*l
Expand (2*f**4 + 2*f - 2*f)*(-3 + 7 - 1)*(-4 + 4 + 3*f).
18*f**5
Expand (2*w - 4 + 1 - 4*w)*(0 + 0 - w)*(-3*w - 2*w + 6*w).
2*w**3 + 3*w
|
{
"pile_set_name": "DM Mathematics"
}
|
))/k*-57 is divided by v?
5
Let g(c) = c**2 + 2*c - 2. What is the remainder when 304/6 + 0 + 1/3 is divided by g(3)?
12
Let h(l) = 7*l - 1. Let s be (6/3 + 0)/2. Let t be h(s). Calculate the remainder when ((-16)/t)/((-3)/36) is divided by 11.
10
Let a = -3 - -3. Let m(u) = 4*u - 1 - 1 + a. What is the remainder when 18 is divided by m(3)?
8
Suppose -3*u + t - 3 = -39, 3*t = 0. Calculate the remainder when 23 is divided by u.
11
Let f = -9 - -8. Suppose 4*r - 86 = -2. What is the remainder when (r - 1) + (f - -3) is divided by 8?
6
Let s = 0 - 0. Suppose t - 36 - 4 = s. Calculate the remainder when t is divided by 14.
12
Let d(q) = -q**3 - 18*q**2 - 17*q + 8. What is the remainder when 23 is divided by d(-17)?
7
Suppose -3*c = 2*r - 123, 2*r - 6*r + c + 267 = 0. Calculate the remainder when r is divided by 17.
15
Let n = 18 + -9. Suppose 4*c = -3*x + 43, 0*x - x = c - 12. Let w(t) = -t**3 + 8*t**2 - 2*t - 9. What is the remainder when w(c) is divided by n?
8
Let n = 11 - 8. Suppose v - n*v = -76. Calculate the remainder when v is divided by 20.
18
Let m(s) = 24*s**3 + s**2 - s + 1. Suppose -29 = q - 42. What is the remainder when m(1) is divided by q?
12
Suppose 2*o = 3*o - 42. What is the remainder when 207 is divided by o?
39
What is the remainder when 21 is divided by ((-2)/4)/(13/(-156))?
3
Suppose 1 = -2*p + 11. Suppose q + 5*k + 8 = 1, -3*q = -5*k - 19. Let c = p - q. What is the remainder when c is divided by 2?
0
What is the remainder when 57 is divided by ((-203)/28)/((-1)/4)?
28
Let v(i) = i**3 - 7*i**2 - 5*i - 15. What is the remainder when 22 is divided by v(8)?
4
Let l = 11 + -8. Suppose -9 + 24 = l*o. Calculate the remainder when 8 is divided by o.
3
Suppose 5*p = 10, -2*m + 3*p + 18 = -2. Suppose 4*t - 62 = -y + 3*y, 0 = 5*t + y - 74. Calculate the remainder when 370/t + 2/6 is divided by m.
12
Suppose 2*r - 39 - 87 = 0. Calculate the remainder when r is divided by 8.
7
Suppose -2*q = -23 - 5. Calculate the remainder when 53 is divided by q.
11
Let w(x) = -x**2 - 23*x + 26. Calculate the remainder when 126 is divided by w(-23).
22
Suppose r + 77 = 89. What is the remainder when r is divided by 12?
0
Suppose 9 + 32 = x. Let u = -20 + x. Calculate the remainder when u is divided by 11.
10
Let u(h) = -h**2 - 2*h - 3 + 7*h + 9 + 3*h. Let o be u(-7). Let r = 145 + o. What is the remainder when r is divided by 16?
14
Suppose 9*b + 19 = 10*b. What is the remainder when b is divided by 10?
9
Let v(r) = r**2 + 7*r + 4. Let u be v(-7). Suppose -u*n - 145 = -9*n. Calculate the remainder when n is divided by 38/5 - (-6)/15.
5
Suppose -6 = -b + y, -2*b + y + 0*y = -13. Let r(n) = -n**3 + 3*n**2 - 1. What is the remainder when r(-2) is divided by b?
5
Suppose -2*l - 14 = -2*a - 2*a, 0 = 4*a + 4. Let m = 2 + l. What is the remainder when 28 is divided by (10/(-3))/(m/21)?
8
Suppose 2*t - 8 = 4. Suppose -m + t = m. What is the remainder when 3 is divided by m?
0
Let z(k) = k**2 + k - 1. What is the remainder when z(3) is divided by 6?
5
Let t = -128 - -250. Suppose -115 = -5*x - 5*j, 3*x = -x + 2*j + t. Calculate the remainder when x is divided by 10.
8
Let c = 184 + -100. What is the remainder when c is divided by 43?
41
Suppose 5*n - 4*n = 0. Suppose n = 7*y - 8*y + 9. What is the remainder when 24 is divided by y?
6
Suppose -3*v = -3*y + 12, -2*v = -4*y + 13 + 3. Let u(d) = 3 - 2*d + 6*d - 9*d**2 + y*d**2 - d**3 - 2. Calculate the remainder when u(-6) is divided by 5.
3
Let h = 8 + 25. Suppose 0*n - n + h = 0. Calculate the remainder when n is divided by 12.
9
What is the remainder when 53 is divided by 27/4 - (-9)/36?
4
Let w(a) = 3*a**2 + 6*a + 6. Calculate the remainder when w(-5) is divided by 18.
15
Let a(r) = -r**3 + 14*r**2 + 16*r - 18. Let s be a(15). Let c(x) = -x**2 + 6*x + 7. Calculate the remainder when 96/(-1 + 5) - s is divided by c(6).
6
Let s = 0 + 0. Suppose s*n - 8 = -n. Let l = 6 + 17. What is the remainder when l is divided by n?
7
Suppose -2*o + 105 = 35. Calculate the remainder when o is divided by -3*(-4)/((-4)/(-3)).
8
Suppose -3*q + 3 = 2*h + 38, 2*h - 3*q = -5. Let a = 23 + h. What is the remainder when ((-8)/(-20))/(1/60) is divided by a?
11
Suppose t + 5*z = -29, -5*t - 11 - 42 = 2*z. Let v = -5 - t. Suppose -3*j - 32 - 50 = -v*o, -5*j + 28 = 2*o. What is the remainder when o is divided by 7?
5
Let i(q) = q**3 - 4*q**2 + 3*q + 1. Let r(h) = -1 + h - 10 + 1. What is the remainder when r(11) is divided by i(3)?
0
Let i be (-2 - -3)*9 + -1. Let m = i + 7. What is the remainder when (84/10)/((-3)/(-10)) is divided by m?
13
Let y = -6 + 8. Suppose -5*o = -y*x - 33, 21 = 4*o + o + x. Suppose -a + o = -0. What is the remainder when a is divided by 3?
2
Let j(s) be the second derivative of -s**4/12 - 3*s**3 - 5*s**2 + 4*s. Calculate the remainder when j(-12) is divided by 13.
10
Let i(b) = -3*b**3 + b - 9. Let g(h) = -h**3 + h**2 - h - 1. Let r(f) = -4*g(f) + i(f). What is the remainder when r(5) is divided by 12?
9
Suppose 0 = -4*i + 60 + 80. Let p = -41 + 59. What is the remainder when i is divided by p?
17
Suppose 5*o = 485 - 115. Let h = 3 + 16. Calculate the remainder when o is divided by h.
17
Let f(u) = 5*u**2 + 2 - 2 + 9*u**2 - 2. Let q be f(-3). Suppose z = -z + q. What is the remainder when z is divided by 21?
20
Suppose 15 = 4*y - 1. Let q = -7 - -6. Let f = q + 3. What is the remainder when y is divided by f?
0
Suppose -5*u = -14*u + 774. What is the remainder when u is divided by 15?
11
Suppose -24 = t - 32. What is the remainder when 37 is divided by t?
5
Let u = 11 + -6. Suppose -y + 1 + 9 = -x, u*x = -y + 16. Calculate the remainder when y is divided by 7.
4
Let m(u) = 19*u**2 - u - 1. What is the remainder when m(-1) is divided by 10?
9
Let c(m) = m**2 - m. Let s be c(-2). Suppose -1 + s = n. Suppose 12 = n*u - 23. Calculate the remainder when 12 is divided by u.
5
Suppose -5 = -2*k + 1. Suppose 0 = -8*l + 4*l + 8. Calculate the remainder when k is divided by l.
1
Let s be 78/10 - 4/(-20). Suppose h - 5*h + s = 0. Suppose x = 3*g - 189, -20 = 4*g + h*x - 262. What is the remainder when g is divided by 21?
20
What is the remainder when 25 is divided by 3/((-6)/4) - -16?
11
Suppose z = -z + 36. Let p(r) = r**2 + r + 4. What is the remainder when p(-6) is divided by z?
16
Suppose -5*r + 60 = -40. What is the remainder when r is divided by 12?
8
Let t(m) = m**3 - 13*m**2 + m + 9. What is the remainder when t(13) is divided by 16?
6
Let q(t) = -8 - 4 + 6*t + 3. What is the remainder when 57 is divided by q(4)?
12
Let t = 6 - 21. Calculate the remainder when 22 is divided by 20*((-36)/t + -2).
6
Let g = 39 - 24. Calculate the remainder when 50 is divided by g.
5
Let f(l) = l**2 + 4*l + 5. What is the remainder when f(-5) is divided by 6?
4
Suppose -4*k - 4*u + 8 = 0, 0 = u + 4 + 1. Suppose -31 + k = -4*v. Calculate the remainder when 39 is divided by v.
3
Suppose 0 = x - 4*c + 15 + 3, -3*x - 33 = -5*c. Let m = x + 17. Calculate the remainder when 20 is divided by m.
9
Let g(r) = 8*r - 10. What is the remainder when 182 is divided by g(9)?
58
Let i = 41 + -3. Let o = 4 - -9. What is the remainder when i is divided by o?
12
Let x(d) = d**3 - 4*d**2 + 5*d - 3. Let u be x(3). Suppose 2*t + 2 = 0, -u*g - t + 107 = g. What is the remainder when g is divided by 6/(-5 + 2) - -16?
13
Suppose -3*p - 4*y - 21 = 0, 0*y - 3*y = -4*p - 3. What is the remainder when 4 is divided by 4 - (-2 - p)*2?
0
Let u(b) = 22*b - 1. Suppose -2*c - 1 - 2 = -y, -10 = -2*y. What is the remainder when u(c) is divided by (7 + -3)*22/8?
10
Let p(v) = -15*v + 3. Let h be p(-3). Suppose 4*m = -0*m + h. Suppose 2*b + 2*z = m, -4*b + 0*z = 2*z - 22. What is the remainder when 14 is divided by b?
4
Let a(n) = 12*n - 7. What is the remainder when a(4) is divided by (4 + -9)*44/(-10)?
19
Suppose t - 14 = 1. Calculate the remainder when 44 is divided by t.
14
Suppose -27 + 10 = -z. What is the remainder when 65 is divided by z?
14
Suppose -89 + 23 = -6*c. Calculate the remainder when 16 is divided by c.
5
Let g = 3 - 1. Suppose -g = k - 12. Let y = 62 - 35. What is the remainder when y is divided by k?
7
Let p(s) be the second derivative of 3*s**5/10 + s**2/2 - s. Suppose 5 = 5*k - 0. What is the remainder when p(k) is divided by 4?
3
Suppose 28
|
{
"pile_set_name": "DM Mathematics"
}
|
+ g + 0*g)).
-16*g**5
Expand (0 - 3 + 6)*((-1 + 1 - 2)*(-1 + 1 + 2*a) + (7*a - 9*a + 0*a)*(-2 + 0 + 3)*(0 - 1 + 6)).
-42*a
Expand (-6*g - 4*g + 22*g)*(5 + 0 + 2).
84*g
Expand (0*o + 0*o - 7*o**2)*(-3 + 4 + 1)*(-2*o + 0*o + o) + 0*o**3 + 2*o**3 - o**3 + (o - o - o)*(o**2 - 4*o**2 + o**2) - 3*o**3 + 2*o**3 + 2*o**3.
18*o**3
Expand (0*v + v - 3*v)*(-2 + 4 - 6)*(-6*v**3 + 3*v**3 - 43*v**3).
-368*v**4
Expand (-j + j - 5*j**4)*(-6*j + 114 - 114).
30*j**5
Expand (o - 2*o - o)*(0 + o + 0) + 0 + 0 - 2*o**2 - 11*o**2 + 0*o**2 + 3*o + o.
-15*o**2 + 4*o
Expand (-1117*t - 217 + 57 + 1116*t)*(0 + 0 + t).
-t**2 - 160*t
Expand (0 + 0 - 5)*(b**2 + b**2 + b**2)*(-6*b + 4*b - 5*b).
105*b**3
Expand -3 - 3 + l + 3*l**5 + 5 + (l**2 + l**3 - l**2)*(96*l**2 + 28*l**2 + 229*l**2).
356*l**5 + l - 1
Expand (503*f - 99831 - 1523*f + 99831)*(-2*f + 0*f + f).
1020*f**2
Expand (2*w + w - 5*w)*(-w**2 + 2*w**2 + 0*w**2) + 2 - 2 - 2*w**3 - 23*w + 2*w**3 - 13449*w**2 + 13449*w**2.
-2*w**3 - 23*w
Expand (-2*q**2 - 2*q**2 - 4*q**2)*(15 - 32 - 26).
344*q**2
Expand (-1 + 5 + 2)*(0 + 1 - 3)*(4*s - 3*s + s) + 39*s - 44*s - 25*s.
-54*s
Expand 5*n - 5*n - 8*n - 2*n + 11*n + 3*n - 5*n + 5*n + n + (n - n + 2*n)*(-1 - 1 + 1) - 2*n + 0*n + 0*n.
n
Expand d**2 + 0*d**2 - 3*d**2 + (3*d - d + 0*d)*(-2*d + 2*d - 2*d) - d**2 + 3*d**2 - d**2 + (-31 + 31 - 11*d)*(0*d + 3*d + 0*d) - 5*d - 2*d**2 + 5*d.
-40*d**2
Expand (-5 + 2 - 2)*(13 - 5 + 26)*(2*x + 1 - 1).
-340*x
Expand (4*v + 7 - 7 + (-4 + 1 + 5)*(0*v + 3*v - v))*(-35 + 35 - 15*v).
-120*v**2
Expand (d - 4*d + d)*(39*d - 3*d + 29*d)*(-5*d + 3*d + d).
130*d**3
Expand (-26 + 8*f + 26)*(-10 - 19 + 5).
-192*f
Expand -o**3 + 3*o**3 + 0*o**3 + (3*o**2 + 3*o**3 - 3*o**2)*(9 + 8 + 5).
68*o**3
Expand -52*b**4 + 1549*b - 1549*b + (-b + 0*b + 2*b)*(-2*b + b**3 + 2*b).
-51*b**4
Expand (62 + 59 - 15)*(2*c**3 - 2*c**3 - 2*c**5).
-212*c**5
Expand 0*o**2 - o**4 + 0*o**2 + (31*o**2 - 14*o**2 - 4*o**2)*(3*o**2 + 3*o**2 - 7*o**2) + 4*o**4 + 0*o**4 - 6*o**4.
-16*o**4
Expand (0*n**3 - 2*n**3 + 0*n**3)*(2 - 5*n - 2) - 2*n**4 + 4*n**4 - 4*n**4 + (-n + n + 2*n)*(-78 + 78 + 61*n**3) + 1 - 1 + n**4.
131*n**4
Expand (-224*n - 349*n + 301*n - 439*n)*(4*n + 3*n - 5*n).
-1422*n**2
Expand (1 - 3 + 8)*(0*l + 13*l + 11*l).
144*l
Expand (16*j + 38 - 8*j - 7*j)*(j + 0*j + 0*j).
j**2 + 38*j
Expand ((2 + 5 - 2)*(1 - 5 + 3) + 3 - 4 + 3 - 5 + 3 + 1)*(-16*b + 4*b - b)*(-2*b**4 + b**4 - 2*b**4).
-156*b**5
Expand -2*d**3 + 1 - 1 + (d + 0*d + 0*d)*(-2*d**2 - 2*d**2 + 2*d**2) + (-8*d**3 - 14*d**3 - 5*d**3)*(1 + 0 - 3) + d**3 - 4*d**3 + 4*d**3.
51*d**3
Expand -2*o - o**4 + 2*o - 2*o**4 - 3*o**4 + 3*o**4 + (2 - 6 + 3)*(9*o**4 - 7 + 7).
-12*o**4
Expand (-2*h**2 + 4*h**2 - 4*h**2)*(0 + 3 - 4) - 13*h**2 - 1 + 37*h**2 - 18*h**2.
8*h**2 - 1
Expand 2*f**3 - 64*f + 64*f - 3*f**3 + 5*f**3 - 4*f**3 + (3*f - 3*f + f)*(0*f**2 - f**2 + 2*f**2).
f**3
Expand -23*g + 42 - 42 + (-1 - 4 + 2)*(6*g + 12 - 12).
-41*g
Expand (368*g**3 + 24*g**4 - 368*g**3)*(2*g - 7*g + 21*g).
384*g**5
Expand (-2*m**2 - 1 + 1)*(-m - 1 + 1) - 51 - 52*m**3 + 51 - 97 + 14*m**3 + 97 + (2 - 2 - 2*m)*(-5*m**2 + 2*m**2 + 4*m**2).
-38*m**3
Expand (0*p + 3*p - p)*(-2*p + 5*p - p) - 183*p**2 - 42*p - 54*p**2 + 40*p.
-233*p**2 - 2*p
Expand (-2 + 0 + 0)*(92*f - 50*f - 45*f + 31).
6*f - 62
Expand 2*d**2 - 4*d**2 + 4*d**2 + (-72 - 86 + 21)*(-3*d**2 + 2*d**2 + 0*d**2).
139*d**2
Expand (-3 + 0 + 4)*(-2*y**5 + 4*y**3 - 4*y**3) - 2*y**5 + 0*y**3 + 0*y**3 - 6297*y + 64*y**5 + 67*y**5 + 6302*y.
127*y**5 + 5*y
Expand (-110*w + 109*w - 15 + 3)*((w - 1 + 1)*(0*w**3 - w**3 - w**3) - 2*w**4 + w - w + 6*w**4 - w**4 - 3*w**4 + 4*w**4 + 3*w**4 - 2*w**4).
-3*w**5 - 36*w**4
Expand 0 - 10 - 11 - 3*v**5 + 0*v**5 + 0*v**5 - v**5 + (-3*v**5 - 2*v**5 + 3*v**5)*(-5 + 1 - 2).
8*v**5 - 21
Expand (22 - 12*a - 22)*(220*a**2 + 40*a**3 - 220*a**2).
-480*a**4
Expand (-24 + 7*a**2 + 24)*(-3 + 3 - 3*a)*(2*a + 4*a + 4*a) + 2*a**4 + 5*a**3 + 0*a**4 - 7*a**3.
-208*a**4 - 2*a**3
Expand -f + 2*f + 0*f + (6 - 4 - 3)*(-533 + 51*f + 533) - 2*f - f + 0*f.
-53*f
Expand -11*d**2 - 17*d**3 + 11*d**2 + (-7 + 7 - 6*d)*(-3*d**2 + 5*d**2 - 3*d**2).
-11*d**3
Expand (-3 + 3 - 2*j)*(-2 - 3 + 4)*(-123 - 322 + 7)*(-4 + 1 + 2).
876*j
Expand 952*m**5 - 1856*m**5 + 947*m**5 + (2*m**4 + 0*m**3 + 0*m**3)*(-3*m + 3*m - 2*m).
39*m**5
Expand (-2*a - a + 4*a)*(168*a**3 - 213*a**3 - 272*a**3).
-317*a**4
Expand (-4 + 3*f + 4)*(5 - 9 + 1) + 12*f + 12*f - 31*f.
-16*f
Expand -7 + 7*n**4 + 7 + (-3 + 2*n + 3)*(-9*n**2 - 15*n**3 + 9*n**2).
-23*n**4
Expand ((0 - 4 + 2)*(3 - 5 + 1) + 10 - 36 - 1)*(-b**2 + 19*b - 19*b).
25*b**2
Expand 127*u**3 + 12*u**4 - 1 + u**2 - 127*u**3 + (0 + 2 + 0)*(2*u**2 + 2*u**4 - 2*u**2) + 5 - 7*u**4 - 5.
9*u**4 + u**2 - 1
Expand (-126 + 108 + 221)*(-5*m**2 + 2*m**2 + 2*m**2)*(2 - 2 - 3).
609*m**2
Expand (4*c**2 - 34*c**2 - 29*c**2)*((1 - 2 + 3)*(2*c + 7*c - 4*c) + 4*c - c - 4*c + (2*c - 3 + 3)*(4 + 2 - 7) + (-4 + 3 - 1)*(-c - 2 + 2)).
-531*c**3
Expand (4*m - 2*m + 0*m)*(-43*m + 66*m + 27*m)*(m + 0*m + m).
200*m**3
Expand c**4 + 0*c**4 + 0*c**4 + c**4 - c**4 - c**4 + (c**2 - 3*c**2 + 0*c**2)*(2*c**2 + 2*c**2 - 3*c**2) + (-11*c**2 - c**3 + 11*c**2)*(-47*c - 72*c + 98*c).
19*c**4
Expand (2 - 2 + 2*x)*(7*x + 23*x + 64*x).
188*x**2
Expand (-5*u + 3*u - 3*u)*(-4*u**3 + 13 - 13)*(2 + 2 - 2)*(2 + 1 + 2).
200*u**4
Expand 9 + 16*u**4 - 9 + (792 - 47*u - 792)*(-4*u**3 + 0*u**3 + 3*u**3) + (-1 + 1 - u)*(2*u**3 + 0*u**3 - u**3).
62*u**4
Expand (-11 - 10 - 6 + 7)*(10*w**3 + 3*w**3 + 13*w**3).
-520*w**3
Expand (5 - 5 - 4*t**5)*(0 + 0 + 1) + (-4 + 0 + 5)*(-12*t**2 + 12*t**2 + 5*t**5).
t**5
Expand -2*k**5 - k**5 + k**5 + (0*k**2 + 0*k**2 + k**2)*(k**2 - k**3 - k**2) + ((-1 + 4 - 5)*(0*k + k - 3*k) + k + 4*k - 7*k)*(2*k**4 - 28*k**4 - 9*k**4).
-73*k**5
Expand (2*i - 11*i - 4*i)*(-3*i + 3*i - i**3).
13*i**4
Expand (0 - 1 + 3)*(-47*v + 38*v + 6 + 11*v).
4*v + 12
Expand (2 + 1 - 2)*(n - n - 2*n**2) - 7*n**2 + 8*n**2 - 2*n**2 - 23.
-3*n**2 - 23
Expand (-256*b + 1 + 304*b + 173*b)*(-b**3 - 2*b**3 + 2*b**3).
-221*b**4 - b**3
Expand (0*c - 3*c + c)*(-3 - 2*c + 3) + (2*c + 0*c - c)*(11*c - 97*c - 10*c).
-92*c**2
Expand ((v**2 + 3*v**2 - 2*v**2)*(-5*v + 2*v + v) + 6*v**3 - v**3 + 4*v**3)*(2*v - 2*v + 4*v).
20*v**4
Expand -2*m**5 - m**5 + 0*m**5 - 3*m**5 + 2*m**5 + 3*m**5 + (2*m**3 - 2*m**3 + 4*m**5)*(4 - 2 - 3).
-5*m**5
Expand (4 - 3 + 1)*(-4 - 3 + 4)*(10 - 3 + 4)*(2*u**2 - 5*u**2 + 2*u**2).
66*u**2
Expand (2*h**2 - h**2 + h**2)*(-128*h - 78 + 78)*(-4*h**2 + 5*h**2 - 2 + 1).
-256*h**5 + 256*h**3
Expand 3*u**5 - u**5 - u**5 + (4 + 0 + 6)*(2*u**5 - 2*u**5 - u**5) + 2*u**2 - 2*u**2 + 5*u**5.
-4*u**5
Expand (2 - 2 - r)*(661*r - 540*r + 1208*r) + 3*r**2 + 2*r**2 - 3*r**2 + (-r + 0*r + 3*r)*(-3*r + r + 0*r).
-1331*r**2
Expand (-a**2 + 7*a**4 + a**2)*((-3 + 4 - 2)*(-1 - 4 + 4) + 13 + 4 + 6)*(-3 + 4 + 2).
504*a**4
Expand (-4 + 4 - o**2)*(2*o**3 - 1 + 1) + (o**4 - 4*o**4 + o**4)*(16*o - 111*o - 41*o).
270*o**5
Expand (3*u + 3*u - 5*u)*(2*u**2 + 0*u**2 + 4*u**2)*(5*u + 5*u - u).
54*u**4
Expand -y**4 - y**4 + 0*y**4 + (0*y + y - 2*y)*(3*y**3 + 3*y**3 - 5*y**3) + 13*y**4 + 9*y - 9*y.
10*y**4
Expand (w - 5 - 3*w**2 + 5)*(-13*w**3 + 48*w**3 - 2*w**2 + 8*w**3).
-129*w**5 + 49*w**4 - 2*w**3
Expand (-4 - 3 + 4)*(x**3 + 0*x**2 + 0*x**2) + (2*x - x**2 + 0*x**2 + 3*x**2)*(0*x - x - 4*x).
-13*x**3 - 10*x**2
Expand (10*p**3 - 13*p**2 + 13*p**2)*(-p**2 + 2*p - 2*p) - 4*p**5 + 4*p**5 - p**5.
-11*p**5
Expand -5*a - 6*a + 9*a + 3*a + 3*a - 4*a + (-5*a + 5*a + 4*a)*(-3 + 2 + 2).
4*a
Expand (-3*j + 0*j + 4*j)*(-1946 + 294 + 563 + 50 + 139).
-900*j
Expand (3 + 6 - 8)*(-c**4 - 2*c**4 + c**4)*(3*c - 4 + 3 + 7).
-6*c**5 - 12*c**4
Expand (-2*i**4 - 5*i + 5*i + (2*i**4 - 2*i**4 - 2*i**4)*(2 - 2 - 2) + 0*i**4 + 5*i**4 - 3*i**4)*(-2 + 2 + 12*i).
48*i**5
Expand ((0 + 2 + 0)*(5 - 5 - 3*n) - 2 - 2*n + 2 + 6 - n - 6)*(-5*n**2 + 5*n**2 - 4*n**4).
36*n**5
Expand -8*p**2 + 4*p**2 + 0*p**2 + (-3 + 0 + 4)*(-10*p**2 + 142*p - 142*p).
-14*p**2
Expand (-4*v + 3*v + 3*v)*(-2 + 0 - 3 - 2 + (-4 + 4 + 1)*(1 - 2 + 3)).
-10*v
Expand (-l**5 - 2*l**5 + 0*l**5)*(49 - 41 - 21).
39*l**5
Expand (-3 + 1 + 1)*(-2*g**2 + 2*g**2 - 2*g**2 - g**2 + 2*g**2 + 0*g**2 + (0 - g + 0)*(7*g - 2*g - 3*g) - 35*g**2 - 5 + 5).
38*g**2
Expand (14*o - 56*o + 29*o)*(-19 - 1 - 20).
520
|
{
"pile_set_name": "DM Mathematics"
}
|
s + 0*s**2 + 80*s + 3*s**2 - 6*s**2.
-3*s**2
Collect the terms in -157*r - 4*r**2 + 157*r + 3*r**2.
-r**2
Collect the terms in -68*r**2 + 215*r**2 - 67*r**2 - 71*r**2.
9*r**2
Collect the terms in 16*k**3 + 5*k**3 - 25*k**3 + 6*k**3.
2*k**3
Collect the terms in -1 - 236*c**2 + 231*c**2 + 1.
-5*c**2
Collect the terms in -10*g + 35130 - 35130.
-10*g
Collect the terms in -14*f**3 + 9*f**3 + 0*f**3 + 2*f**3.
-3*f**3
Collect the terms in -8*o**2 - 53*o**2 + 17*o**2 + 12*o**2 + 2.
-32*o**2 + 2
Collect the terms in 1610 - 1610 - 7*z.
-7*z
Collect the terms in 3*q**2 - 33 - 36 + 69.
3*q**2
Collect the terms in 0 - 13*h**2 + 1 - 1.
-13*h**2
Collect the terms in -27*j**2 + 16*j**2 + 8*j**2.
-3*j**2
Collect the terms in -8*h**3 - 877947*h**2 + 877947*h**2.
-8*h**3
Collect the terms in 93*k**2 - 44*k**2 - 51*k**2.
-2*k**2
Collect the terms in 18*x**3 + 2*x - 50 - 2*x + 50.
18*x**3
Collect the terms in 1 - 1 - 72*s**3 + 151*s + 71*s**3.
-s**3 + 151*s
Collect the terms in -14*k**2 - 6*k**3 + 14*k**2.
-6*k**3
Collect the terms in -577 + 251 + 2*g**2 + 326.
2*g**2
Collect the terms in -31*x - 96*x - 44*x.
-171*x
Collect the terms in -7 - 2 + 4*v**2 + 3.
4*v**2 - 6
Collect the terms in 338*z + 0*z**3 - 4*z**3 - 338*z.
-4*z**3
Collect the terms in 6*m + 3*m**3 + 2*m - 8*m.
3*m**3
Collect the terms in 21 + 30 + 24 + x**2 - 75.
x**2
Collect the terms in 7 + 32*s - 20*s - 34*s.
-22*s + 7
Collect the terms in -13 + 13 + 71*k - 45*k.
26*k
Collect the terms in -21*n**2 + 1072*n - 1072*n.
-21*n**2
Collect the terms in -8*s + s**2 + 8*s.
s**2
Collect the terms in -v**2 + 2*v**2 - 2*v**2 + 3*v**2.
2*v**2
Collect the terms in 717*t**3 + 6*t - 6*t.
717*t**3
Collect the terms in -52*j - 9 + 50*j + 1.
-2*j - 8
Collect the terms in 355*q**3 - 716*q**3 + 359*q**3.
-2*q**3
Collect the terms in -8*d**3 + 7 - 10*d**3 - 16*d**3 + 32*d**3.
-2*d**3 + 7
Collect the terms in 23*b - 4*b + 9*b.
28*b
Collect the terms in -21*o**3 - 24*o**3 + 56*o**3 - 21*o**3.
-10*o**3
Collect the terms in u - 84*u**3 + 13*u**3 + 3*u.
-71*u**3 + 4*u
Collect the terms in 1 + 5*w**2 - 5 + 4.
5*w**2
Collect the terms in 4 - 18*i**3 + 11*i**3 + i**3.
-6*i**3 + 4
Collect the terms in -49*n**3 + 95*n**3 - 50*n**3.
-4*n**3
Collect the terms in -2*t**3 - 12*t**3 + 19*t**3.
5*t**3
Collect the terms in 0*y - 286 + 286 + 0*y - 11*y**2.
-11*y**2
Collect the terms in 3*v**3 - 4*v**3 - 3*v**3.
-4*v**3
Collect the terms in 2*r - 2*r + 9073*r**2 - 9079*r**2.
-6*r**2
Collect the terms in 62*s - 58*s**2 - 62*s.
-58*s**2
Collect the terms in 20*h**3 - 5*h**3 + h**2 + 25*h**3.
40*h**3 + h**2
Collect the terms in 1 - 81*o + 155*o - 1.
74*o
Collect the terms in -105*y - 119*y + 223*y.
-y
Collect the terms in 0 + 0 - 174*f - 182*f + 358*f.
2*f
Collect the terms in -w - 2*w + w - 7*w.
-9*w
Collect the terms in 8*v**2 + 27*v**3 - 18*v**2 + 4*v**3.
31*v**3 - 10*v**2
Collect the terms in 4*h**2 - 4*h**2 + 18*h**2 + 4*h**2.
22*h**2
Collect the terms in -24*q + 14*q + 14*q.
4*q
Collect the terms in 4*n**2 - 5811 + 5811 + 2*n - 2*n.
4*n**2
Collect the terms in 63*y**3 - 6*y**2 - 25*y**3 + 6*y**2.
38*y**3
Collect the terms in -14*d + 2 + 13*d + 12*d + 22*d.
33*d + 2
Collect the terms in -531*o**2 - 531*o**2 - 535*o**2 + 1600*o**2.
3*o**2
Collect the terms in -9*c + 4*c**2 + 3*c**2 - 9*c + 18*c.
7*c**2
Collect the terms in -19*g**3 - 8*g**3 + 5*g**3.
-22*g**3
Collect the terms in -8 + 4 + 10*x**3 + 4.
10*x**3
Collect the terms in 5*b + b - 10 + 10.
6*b
Collect the terms in -174 + 4*p + 135 - p.
3*p - 39
Collect the terms in 2*y - 3*y**2 + 0*y - 3*y.
-3*y**2 - y
Collect the terms in 12*v - v - 4*v + 5*v.
12*v
Collect the terms in 85*p**2 - 46*p**2 - 24*p**2.
15*p**2
Collect the terms in -30*k - 6 + 1 + 5.
-30*k
Collect the terms in 8*d - 25*d + 9*d + 4*d.
-4*d
Collect the terms in -40066*x**3 + 3 - 3 + 40065*x**3.
-x**3
Collect the terms in z - 51*z**2 - 43*z**2 - z.
-94*z**2
Collect the terms in 0*q**2 + 8*q + 46*q**2 - 4*q - 2*q.
46*q**2 + 2*q
Collect the terms in -1164*i**3 + 1 + 1166*i**3 - 1.
2*i**3
Collect the terms in -p - 8 + 3*p + p.
3*p - 8
Collect the terms in 12*m**2 - 16*m**2 - 43*m**2.
-47*m**2
Collect the terms in -328145*s + 2*s**2 + 328145*s.
2*s**2
Collect the terms in 42*l**2 - 42*l**2 + 74*l**2.
74*l**2
Collect the terms in 4*u + 147 - 147.
4*u
Collect the terms in 32966*t - 32966*t - t**2.
-t**2
Collect the terms in 148*d + 22*d**2 - 66*d - 82*d.
22*d**2
Collect the terms in -5*x**2 + 14*x**2 + 9*x**2 - x**2.
17*x**2
Collect the terms in 17*d**3 + 2 + 0 - 2.
17*d**3
Collect the terms in -h**3 + h**3 + 4*h**3 - 6*h**3.
-2*h**3
Collect the terms in 18*h + 0*h + 4*h.
22*h
Collect the terms in -20*m**2 + m**2 + 6*m**2 - 7*m**2.
-20*m**2
Collect the terms in 12*x + 6*x + 3*x - 16*x.
5*x
Collect the terms in 6*z + 20*z - 35*z.
-9*z
Collect the terms in 125*v**3 + 9 - 122*v**3 - 9.
3*v**3
Collect the terms in 5*z - 4*z + 5*z - 1 + 6*z.
12*z - 1
Collect the terms in 949*s + 1136*s - 484*s.
1601*s
Collect the terms in 2*j**2 - 8 + 10*j - 10*j.
2*j**2 - 8
Collect the terms in 4*p**3 + 36 - 149 - p**3.
3*p**3 - 113
Collect the terms in 116619 - 116619 - f**2.
-f**2
Collect the terms in 34*s**2 - 66*s**2 + 30*s**2.
-2*s**2
Collect the terms in 13562*c**2 - 27121*c**2 + 13560*c**2.
c**2
Collect the terms in 42*a + 37*a**3 - 42*a.
37*a**3
Collect the terms in -r**3 + 3*r**3 + 585 - 585.
2*r**3
Collect the terms in 8*t**3 - 31*t**3 + t**3 + 10*t**3.
-12*t**3
Collect the terms in -b**2 + 4*b**2 - 9*b**2.
-6*b**2
Collect the terms in -1950*b**3 - 2*b + 1951*b**3 + 2*b.
b**3
Collect the terms in -15*h**2 - 19*h**2 + 69*h**2 - 23*h**2.
12*h**2
Collect the terms in 2*y + 10*y + y - 3*y.
10*y
Collect the terms in -d**2 + 2*d**2 + 132032 - 132032.
d**2
Collect the terms in 2*r**2 + 2*r**2 - 6*r**2.
-2*r**2
Collect the terms in -107*f - 3*f**2 + 4 + 107*f.
-3*f**2 + 4
Collect the terms in 5*y**3 - 8*y**3 + y**3.
-2*y**3
Collect the terms in -21*k + 50*k - 22*k.
7*k
Collect the terms in 7*f**2 - 37 + 37.
7*f**2
Collect the terms in 347*i**2 - 177*i**2 - 173*i**2.
-3*i**2
Collect the terms in k + 1383*k**2 - k.
1383*k**2
Collect the terms in -114*o**3 + 49*o**3 + 68*o**3.
3*o**3
Collect the terms in 1 + 113*r**2 - 106*r**2 + 0 - 1.
7*r**2
Collect the terms in -q**2 - 28 - 24 + 3.
-q**2 - 49
Collect the terms in t**2 + 31*t**3 - 4*t**2 + 3*t**2.
31*t**3
Collect the terms in 119*a**2 + 120*a**2 - 243*a**2.
-4*a**2
Collect the terms in 2351 - 4708 + 2*q**3 + 2357.
2*q**3
Collect the terms in 6 + 0 - 6 - 234*g**3.
-234*g**3
Collect the terms in -90*o + 224*o - 129*o.
5*o
Collect the terms in 219*w + 321*w + 152*w.
692*w
Collect the terms in 4*s + 14*s**3 - 7*s + 6*s.
14*s**3 + 3*s
Collect the terms in 15*i + 9*i - 42*i + 16*i.
-2*i
Collect the terms in 2*m - 35 - 17 + 75.
2*m + 23
Collect the terms in 15*i**3 - 22*i**3 + 8*i**3.
i**3
Collect the terms in -9*s + 4*s + 10*s.
5*s
Collect the terms in -56*p**2 + 37*p**2 + 16*p**2.
-3*p**2
Collect the terms in -520*t + 110*t - 111*t.
-521*t
Collect the terms in -17 - 2 + 18*t**3 - 14*t**3.
4*t**3 - 19
Collect the terms in 17*i - 139*i**3 - 17*i.
-139*i**3
Collect the terms in -4*o**2 - 71*o**3 + 4*o**2 + 95*o**3.
24*o**3
Collect the terms in -121*c + 28*c - 91*c.
-184*c
Collect the terms in -a - a - 17*a**2 + 2*a.
-17*a**2
Collect the terms in -11*v**2 - 19*v**2 + 6*v**2.
-24*v**2
Collect the terms in 1121 + 1121 + 1126 - 3368 + 6*r.
6*r
Collect the terms in 2695*q - 3*q**2 - 2695*q.
-3*q**2
Collect the terms in -2*a - 5*a + 223 - 223.
-7*a
Collect the terms in -2 + 3 - 4*o - 17*o.
-21*o + 1
Collect the terms in -11*v**3 + 10 - 9 - 1.
-11*v**3
Collect the terms in 10*r - 5*r + 8*r.
13*r
Collect the terms in 0*a**3 + 404 - 2*a**3 - 404.
-2*a**3
Collect the terms in 34*z - 66*z + 42*z - 4 + 4.
10*z
Collect the terms in 2 - 2 + 26*j + 3.
26*j + 3
Collect the terms in -44*s**3 - 84*s**3 + 123*s**3.
-5*s**3
Collect the terms in 89*b + 30*b + 47*b.
166*b
Collect the terms in -5*o + 0*o + 2*o + o.
-2*o
Collect the terms in -f**3 - 3*f**3 + f**3 - 1137*f + 1119*f.
-3*f**3 - 18*f
Collect the terms in 7*f - f + 3*f - 8*f.
f
Collect the terms in -1 - 30*k**2 - 11*k**2 - 2*k + 1.
-41*k**2 - 2*k
Collect the terms in p - 63*p**2 - 9*p + 8*p.
-63*p**2
Collect the terms in -46779*m + 46779*m - m**3.
-m**3
Coll
|
{
"pile_set_name": "DM Mathematics"
}
|
7*b - 3*b**3 + 17*b + 2*b**3.
-b**3
Collect the terms in k**2 - 3*k**2 + 8*k**2.
6*k**2
Collect the terms in -50 + 50 - 3*h.
-3*h
Collect the terms in -22*s**2 - 19*s**2 - 3 + 3 + 38*s**2.
-3*s**2
Collect the terms in -1120*d**2 + 560*d**2 + 559*d**2.
-d**2
Collect the terms in 1084*a + 18 - 1085*a - 18.
-a
Collect the terms in 33*k**3 + 65 - 65.
33*k**3
Collect the terms in 20*f**3 + 34*f**3 + 13*f**3.
67*f**3
Collect the terms in 26*b - 4 - 5*b + 6 - 2.
21*b
Collect the terms in -2*p + 72646 - 72646.
-2*p
Collect the terms in -5*u + 8*u - u.
2*u
Collect the terms in -123*n + 60*n + 66*n - 2*n**3.
-2*n**3 + 3*n
Collect the terms in t**2 - 6*t**2 + 7*t**2 + 34*t**3 - 10*t**3.
24*t**3 + 2*t**2
Collect the terms in -7*n**3 - 8*n**3 + 18*n**3 - 16*n**2.
3*n**3 - 16*n**2
Collect the terms in -53*l**2 + 73*l**2 - 37*l**2.
-17*l**2
Collect the terms in -3 + 207*u + 337*u + 3.
544*u
Collect the terms in -5 + 5 + 9*a**2 - 19*a**2 + 12*a**2.
2*a**2
Collect the terms in 9*k**3 + 26*k**3 - 9*k**3 - k + 5*k**3.
31*k**3 - k
Collect the terms in -4*h**3 - 8*h**3 - 11*h + 2*h**3.
-10*h**3 - 11*h
Collect the terms in 2*m**3 + 122 - 122.
2*m**3
Collect the terms in 4*b**3 - 32*b**3 - 12*b**3.
-40*b**3
Collect the terms in 332*j - 205*j - 128*j.
-j
Collect the terms in 4*m**3 + 4*m**3 + 4*m**3 + 0*m**3.
12*m**3
Collect the terms in -7*v**3 + 5*v**3 - 12*v**3.
-14*v**3
Collect the terms in 3 + 18*j - 3.
18*j
Collect the terms in -25*y + 25*y - 76*y.
-76*y
Collect the terms in b - b - 103*b**2 - 66*b**2.
-169*b**2
Collect the terms in 5*b**2 - 2*b**2 - b**2 - 13*b**2 + 10*b**2.
-b**2
Collect the terms in -2*p - 2*p + p.
-3*p
Collect the terms in 5*o**3 - 2*o**3 + o**3.
4*o**3
Collect the terms in 15*f + 9*f - 8*f.
16*f
Collect the terms in -1 + 11892*m**2 + 1 - 57*m - 11894*m**2.
-2*m**2 - 57*m
Collect the terms in 172*r**2 - 348*r**2 + 168*r**2 + 4*r - 4*r.
-8*r**2
Collect the terms in -63*s**2 + 126*s**2 - 66*s**2.
-3*s**2
Collect the terms in 4*q + 24 + 29 - 53.
4*q
Collect the terms in -85*v**2 + 42*v**2 + 44*v**2.
v**2
Collect the terms in -2*t + 19 + 83 - 16.
-2*t + 86
Collect the terms in 15*w**3 + 19*w**3 - 28*w**3.
6*w**3
Collect the terms in 70*b - b**3 + 107*b - 20*b.
-b**3 + 157*b
Collect the terms in -7*m**3 + 5*m**3 + 5*m**3.
3*m**3
Collect the terms in -6 + 5 + 2*t + 5*t + 3*t.
10*t - 1
Collect the terms in w**2 - 637*w**3 - 3*w**2 + 2*w**2.
-637*w**3
Collect the terms in 64*p**3 - 114*p**3 + 59*p**3.
9*p**3
Collect the terms in 4*b**3 - 6*b**3 - b**3 + 5*b**3.
2*b**3
Collect the terms in -2*w**2 - w**2 - w**2 + 5*w**2.
w**2
Collect the terms in -69*o**2 + 31*o**2 + 276*o**2.
238*o**2
Collect the terms in -3592*t**2 + 3592*t**2 + 170*t**3.
170*t**3
Collect the terms in m**3 - 2*m**3 + 152*m - 152*m.
-m**3
Collect the terms in -d - 1 - d + 1 - 4*d.
-6*d
Collect the terms in -14*s**2 - 14*s**2 + 43*s**2 - 19*s**2.
-4*s**2
Collect the terms in -6702261*s + 6702261*s - 3*s**2.
-3*s**2
Collect the terms in -30*c + 30*c + 93*c**2 - 92*c**2.
c**2
Collect the terms in 1140*n - 8*n**3 - 1140*n - 7.
-8*n**3 - 7
Collect the terms in -150*k + 150*k - 69*k**3.
-69*k**3
Collect the terms in 12855*z**2 - 12855*z**2 + 12*z**3.
12*z**3
Collect the terms in -1 + 1 - 13*j - 3*j + 38*j - 21*j.
j
Collect the terms in 0*c - 4*c - 4*c - 2*c.
-10*c
Collect the terms in -31 + 62 - 31 + 27*s**3.
27*s**3
Collect the terms in 132*y**3 - 48*y**3 - 46*y**3 - 48*y**3.
-10*y**3
Collect the terms in 14*z**2 - 751 + 751.
14*z**2
Collect the terms in -3412 + 13*h**2 + 3412.
13*h**2
Collect the terms in -158*f - 38*f - 70*f + 63*f.
-203*f
Collect the terms in -8*k**3 - 15*k**3 - 10*k**3.
-33*k**3
Collect the terms in 37*p**3 - 17*p**3 - 22*p**3.
-2*p**3
Collect the terms in -7 + 4*l**3 + 7.
4*l**3
Collect the terms in 7*f**3 - 3*f**3 + 2*f**3.
6*f**3
Collect the terms in -3 + 35 + 3 - 35 + 3*b**3.
3*b**3
Collect the terms in 65*r - 15 - 30*r + 2*r**2 - 35*r.
2*r**2 - 15
Collect the terms in -5*u + 1939 - 1939.
-5*u
Collect the terms in -5*p - 15*p + 24*p - 9*p.
-5*p
Collect the terms in 7 + 7*n + 6*n - 10*n - 2.
3*n + 5
Collect the terms in -4*b**2 + 6*b**2 + 4*b**2.
6*b**2
Collect the terms in 0 + 2*n**2 - 14*n**2 + 0.
-12*n**2
Collect the terms in 5*a - a + 0*a.
4*a
Collect the terms in 9*n**2 + 3*n**3 - 7*n**2 - 2*n**2.
3*n**3
Collect the terms in 22*j**2 + 14*j**2 - 31*j**2.
5*j**2
Collect the terms in -737*g + 321*g - 372*g.
-788*g
Collect the terms in -9*a**3 - 3 - 8*a**3 + 3.
-17*a**3
Collect the terms in -14 + 7 - 3*x**2 - 12 + 1.
-3*x**2 - 18
Collect the terms in -17 - 39 + 56 - a**2.
-a**2
Collect the terms in 533 - 533 + 138*z + 37*z.
175*z
Collect the terms in -15*f - 16*f - 7*f + 44*f.
6*f
Collect the terms in 3 - 16*o**2 - 19*o**2 - 3.
-35*o**2
Collect the terms in -1600*y + 30*y**3 - 31*y**3 + 1600*y.
-y**3
Collect the terms in -2*p - 61*p**2 - p**3 + 2*p.
-p**3 - 61*p**2
Collect the terms in -x**2 + 11*x**2 - 2*x**2 - 3*x**2 - 4*x**2.
x**2
Collect the terms in 2*p + 25*p - 50*p.
-23*p
Collect the terms in 17*k**2 + 85*k - 85*k.
17*k**2
Collect the terms in 2*s**2 - 7*s**2 + 3*s - 3*s.
-5*s**2
Collect the terms in 76*a - 37*a + a**2 - 39*a.
a**2
Collect the terms in 255*d**3 - 82*d**3 - 87*d**3 - 85*d**3.
d**3
Collect the terms in 91*n**3 - 186*n**3 + 93*n**3.
-2*n**3
Collect the terms in -912*l + 3 - 3.
-912*l
Collect the terms in -2*p**2 + 14*p**2 - 10*p**2.
2*p**2
Collect the terms in -75*s + 75*s + 4*s**2 - 3*s**2.
s**2
Collect the terms in 10*r**2 + 4*r**2 + 6*r**2 - 24*r**2.
-4*r**2
Collect the terms in 2*b + 2*b - 18*b.
-14*b
Collect the terms in 84*l**2 + 41*l**2 + 2*l - 8*l**2.
117*l**2 + 2*l
Collect the terms in -514*a**2 - 491*a**2 + 981*a**2.
-24*a**2
Collect the terms in -2*u**2 + 21*u**2 + 2*u**3 - 3*u**3.
-u**3 + 19*u**2
Collect the terms in -9*j + 24*j - 13*j + 48*j.
50*j
Collect the terms in 4*d**3 - 3*d**3 - 53*d**2 - 35*d**2 + 3*d**2.
d**3 - 85*d**2
Collect the terms in -8*m + 3 - 5*m - 1 + 12.
-13*m + 14
Collect the terms in -39*h + 2*h**2 + 0*h**2 + 88*h - 49*h.
2*h**2
Collect the terms in -9420*f**2 - 3*f**3 + 9420*f**2.
-3*f**3
Collect the terms in -5*w + 5*w - 4*w - 4*w.
-8*w
Collect the terms in -12*u - 10*u + 24*u.
2*u
Collect the terms in 6 + 7*h**3 - 17*h**3 + 8*h**3.
-2*h**3 + 6
Collect the terms in -2 - 6 + 30*q**2 + 8.
30*q**2
Collect the terms in 4*i**2 - 2*i**2 + 4*i + 0*i**2 + 9*i.
2*i**2 + 13*i
Collect the terms in -p + 2*p - 5*p - 5*p + 13*p.
4*p
Collect the terms in 93*l**2 + 95*l**2 - 197*l**2.
-9*l**2
Collect the terms in -7*s + 3*s - 2*s**2 + 4*s.
-2*s**2
Collect the terms in 29*u - 48*u + 22*u.
3*u
Collect the terms in -1 + 33*z + 2*z + 1 + 2.
35*z + 2
Collect the terms in 321*i - 25*i**2 - 321*i.
-25*i**2
Collect the terms in -6*d**2 + 6*d**2 - d**2 - d**2.
-2*d**2
Collect the terms in -3*l + 227 - 227.
-3*l
Collect the terms in 20*t - 911 - 23*t + 911.
-3*t
Collect the terms in 6*o**2 - 2*o**2 + 3*o**2 + 95*o**3 - 5*o**2.
95*o**3 + 2*o**2
Collect the terms in -2*x**3 + 304*x - 304*x + 4*x**3.
2*x**3
Collect the terms in o**2 + 0*o + 6*o**2 + 0*o.
7*o**2
Collect the terms in -2 - 118*h**3 + 116*h**3 + 2.
-2*h**3
Collect the terms in 573*c**2 + 577*c**2 - 2298*c**2 + 570*c**2 + 579*c**2.
c**2
Collect the terms in -33*v**3 + 7 - 7 + 88*v**3 - 57*v**3.
-2*v**3
Collect the terms in -201*x - 196*x - 194*x - 202*x + 795*x.
2*x
Collect the terms in 541*a**3 - 560*a**3 + 4 - 4.
-19*a**3
Collect the terms in -15*z + 18*z + 16*z.
19*z
Collect the terms in 3*w + 11 - 2 - 1.
3*w + 8
Collect the terms in -2*x**2 - 31*x + 31*x.
-2*x**2
Collect the terms in 1788 + 17*b - 1788.
17*b
Collect the terms in 156*v - 2*v**2 - 2 - 156*v.
-2*v**2 - 2
Collect the terms in 205*a + 206*a - 419*a.
-8*a
Collect the terms in 7*h + 3*h + 13*h - 19*h.
4*h
Collect the terms in 6*z**2 - 3*z**2 + z**2 - z**2.
3*z**2
Collect the terms in 834*i**3 - 1670*i**3 + 834*i**3.
-2*i**3
Collect the terms in 0*b - 5*b + 14*b + 3*b - 5*b.
7*b
Collect the terms in -16*x + 16*x - 5*x**3 + 3*x**3.
-2*x**3
Collect the terms in 0*p**2 + 0*p**3 - 3*p**3 - 3*p**2 + 2*p**2.
-3*p**3 - p**2
Collect the terms in -136 + s + 67 + 69.
s
Collect the terms in -3*s - 42 + 42 + s.
-2*s
Collect the terms in -11 + 23 - 2*w - 115 - 17.
-2*w - 120
Collect the terms in 55*i**3 - 31*i**3 - 20
|
{
"pile_set_name": "DM Mathematics"
}
|
5 - 5?
2
-16 - (-18 - (11 - 31)) - (-5 - 0)
-13
-499 - -489 - (4 + (3 - -9))
-26
What is -20 + (-3 - (9 - 17)) - -1?
-14
What is (-3 - (1 + -8 + -18) - 6) + -1?
15
Evaluate 26 + -38 - (4 - 6).
-10
What is 0 + 0 + 9 - (-188 + 205)?
-8
(10 - (1 - 2)) + 0 + (-2 - -10)
19
What is (7 - 3) + (6 - 4) - 8?
-2
What is the value of -1 + 15 + (169 - 162) - (1 - -3)?
17
Evaluate (25 - (1 - -4)) + (0 - (5 + -2)).
17
Evaluate 4 + -7 + -7 - -4 - 6.
-12
Calculate 10 - (13 + 5 + 3 + -15 - 13).
17
What is (1 - -1 - -1) + (19 - 29)?
-7
Calculate (12 - -4) + (-1 - 9) + -5.
1
What is the value of -12 + (40 - ((-19 - -4) + (-36 - -44)))?
35
What is the value of (-13 - (-3 + (8 - 0))) + 48?
30
(15 - 2) + -21 + 25 + -8
9
12 + -65 + 65 + (2 - (-11 - -4))
21
Evaluate (-6 - 3) + -1 + (-24 - -69 - 8).
27
What is the value of (-11 - 6 - (4 + (3 - 1))) + 5?
-18
What is the value of (5 - -1) + -99 + 105 + -27?
-15
Calculate (-1 - -6) + (16 - (24 - 0)).
-3
What is the value of 15 - 0 - 1 - 17?
-3
-4 + (-2 + -4 - -2) + 1
-7
What is 631 - 629 - (10 - 1 - 0)?
-7
What is -2 + (-23 - -46) + -26?
-5
Evaluate (1 - -3) + (-9 - (1 - 2)) + -1.
-5
What is the value of -8 - (-20 - (2 + -14))?
0
Evaluate -1 - 33 - (-99 + 93).
-28
Evaluate 26 + -2 + -10 + 7.
21
Calculate -5 + 2 + 0 + (-555 - -549).
-9
What is the value of 14 + (-4 - (-12 + 6 - -1) - 5)?
10
Calculate 11 - (13 + -6 + 0).
4
Calculate 6 - (-9 - -6 - -7 - (-18 - -2)).
-14
What is (5 - (-68 - -73)) + 1 + (0 - 0)?
1
Calculate 12 + 20 + -27 + 14.
19
What is (0 - (2 - (-11 + 3))) + -253 + 259?
-4
What is the value of -8 + (-3 - (1 - -4))?
-16
Evaluate 1 + 0 + 5 + -317 + 336.
25
Calculate 8 + (6 - 33) - -20.
1
-19 - 18 - -23 - -32
18
What is the value of 18 + (9 - -2) + -15 + -10?
4
Calculate -49 + (26 + -23 - -25).
-21
-11 + -3 + 7 + -6 + 1
-12
Calculate (-16 - -10) + (123 - 140).
-23
What is (3 - (-3 - -22)) + (391 - 385)?
-10
What is the value of -8 - 5 - (-2 + -5 + 4 + -5)?
-5
What is the value of 2 - (20 + -13 + (-2 - 1) - 1)?
-1
What is -10 + ((4 - -1) + -9 - 5)?
-19
Calculate 0 - 13 - (15 - (46 - 5)).
13
Calculate (-2 - (17 - 10)) + (0 - (4 - 3)).
-10
-42 + 38 - (0 - 1) - (6 - 1)
-8
What is -23 - -35 - (15 + -2)?
-1
Evaluate -15 - (2 + (-5 - (7 + -16 + 7))).
-14
What is (1 - 3) + 2 - (496 - 502)?
6
-15 - (13 - (5 + 9) - 38)
24
-11 + -5 + (15 - 8)
-9
Evaluate (12 - (-18 - -21)) + 8.
17
Evaluate -19 + 8 + -19 + 24 - 7.
-13
Evaluate -118 - -139 - (10 + 2).
9
What is -12 - (-7 + -13 + 19)?
-11
What is 1 + 15 + -1637 + 1631?
10
Evaluate 1 + -18 - (24 + (-3 - 27)).
-11
What is the value of -26 + 29 - (3 + 2 + -2)?
0
What is (-22 - ((9 - 10) + -10)) + -4?
-15
What is 2 + -15 + (-30 - -70) + -42?
-15
0 + (2 - -1) + 4 + -4 + 1
4
What is the value of (6 - 23 - -8) + (4 - (-2 - 13))?
10
Evaluate 12 + (-14 + (4 - 3) - -2).
1
What is 7 - (-1 - (3 - (4 - 5 - 3)))?
15
Calculate 8 - 5 - (41 + -32).
-6
Calculate 45 + -10 + 11 + -27.
19
Evaluate 2 + ((3 - 5) + 1 - -9) - -2.
12
1 + -1 - (-26 + (-4 - -40))
-10
Evaluate (-20 - -6) + -10 - (5 + -10).
-19
What is the value of -16 - (-13 + 12 + 2)?
-17
(2 - (-5 - (-5 + (15 - 7)))) + 9
19
-4 + (5 - 1) + (8 - (-7 + 19))
-4
Evaluate 0 + ((1 - 7) + 0 - -1) + -2.
-7
Calculate (12 - 6) + -27 - (-3 + 0 + -4).
-14
What is (2 - -5) + (0 - (-4 - -21))?
-10
What is 14 - (2 + -1 - -6 - (95 - 97))?
5
What is the value of 0 + 7 + 5 + -4?
8
What is -15 + (-12 - (-17 - 16))?
6
Calculate -2 + 30 - (-9 + (-14 - -17) + 14).
20
What is the value of 3 + (-15 - (-4 + 4)) - (-7 + 7)?
-12
-17 - (-12 + 15 + -16)
-4
Calculate 2 + 8 + -26 + 7 - (0 - -2).
-11
What is the value of 4 + -14 + 6 + -10?
-14
Evaluate (-4 - (-13 - -1)) + -4 + -7.
-3
What is 6 + (1 - (-4 + (-4 - -3) - -8))?
4
What is the value of 12 + -8 + -18 + (11 - (6 + 1))?
-10
What is the value of (-13 - -6) + 6 + (-6 - -8) + -16?
-15
What is the value of 0 + 18 + -3 + -173 + 171?
13
What is the value of (4 - 2 - 2) + -5 + (-2 - 1)?
-8
Evaluate 11 + -17 + 10 + (-2 - 4 - 1).
-3
-50 + 68 - (1 - -4)
13
What is the value of 0 + -9 + (1 - (9 - 12))?
-5
Calculate 42 + -31 + -10 + -8.
-7
What is -140 - -163 - (-2 - (-2 + -1))?
22
Calculate (-6 - (-2 + -8)) + (-15 - 2) + 2.
-11
(2 - 1) + 3 + -1 + (0 - -9)
12
What is the value of (231 - 229) + (-1 + 3 - -13)?
17
5 + 5 + (-53 - -7) + 1 - -10
-25
(3 - -1 - (16 - 19)) + 4 + 3
14
-9 + 26 - (50 + -28)
-5
Calculate -19 + 19 + 9 - 25.
-16
What is 4 - (0 + 1 + 7) - -15?
11
Calculate 1 + -7 + 13 + 2 + 9.
18
What is the value of (4 - (1 - -23)) + (-31 - -43)?
-8
-5 + -4 + 15 + 3 - -5
14
Calculate 4 + -7 + (3 - 16 - (18 + -21)).
-13
11 - ((13 - 3) + 11)
-10
Evaluate -6 - (1 - 9) - 5 - (3 - 4).
-2
Calculate -12 + (85 - 72 - (1 + -3)).
3
-3 + (5 + 0 - (5 - -4 - -4))
-11
Calculate -3 + 16 + -6 + 0.
7
Calculate -1 + 2 - (7 + 18 - (-19 + 25)).
-18
Evaluate (-18 - (-35 - -32)) + -15.
-30
What is 0 - ((-26 - -24) + -1 + 7)?
-4
Evaluate -35 + 16 + 10 - (0 + -10).
1
-3 - (24 - (-3 - -12)) - (-3 - -3)
-18
What is the value of 1 + (1 + -2 + 1 - (-1 + 3))?
-1
What is the value of -10 + 9 - (5 + -1 + -3 + -5)?
3
Evaluate (-5 + 2 - (-1 - -1)) + (6722 - 6723).
-4
Calculate -7 + 3 + (1 - 2) + (52 - 47).
0
What is the value of (11 - 8) + 5 + 3?
11
Evaluate (11 - 5) + -9 - 9 - -1.
-11
Evaluate 7 - (16 + -6 - 14).
11
What is the value of (3 + -1 - ((18 - -12) + -23)) + 0?
-5
Evaluate -7 + 2 - (-38 + 30 + -6).
9
Evaluate (14 - (7 - -13)) + (2 - -5) + -1.
0
16 - (-4 - -11) - 1
8
Evaluate -29 + 2 + 5 + -1.
-23
Calculate -41 + (-2 - -21) - -41.
19
What is the value of 60 - 61 - (-3 - -17) - -3?
-12
What is -9 + -1 + (11 - 3)?
-2
What is (14 - -13) + -14 + -15 + -13?
-15
What is the value of -9 + 50 + (-41 - -7)?
7
(-1 - -8) + 59 + -62 + 14
18
21 - (3 - (-37 + 15))
-4
What is (11 - 6) + -11 - (-10 + (0 - 1))?
5
What is -33 + (34 - (20 + 0))?
-19
17 - (10 - (13 + 7) - -12)
15
What is (-4 - -6 - -3) + 4 + (-7 - -6)?
8
Calculate 22 + -36 - (-9 + 3).
-8
(6 - 12 - -2) + 12
8
Evaluate 18 + -21 + 1 + 2 + 19 + -2.
17
(3 - -26 - 4) + -9 + 1 - 2
15
Evaluate (-2 - -10) + 1 + (-406 - -388).
-9
Evaluate -30 - (-55 + 10) - 34.
-19
What is -1 + (-3 + -7 - -10)?
-1
Evaluate 19 + 0 + (13 - (82 - 72)).
22
What is 2 + (-4 - -2) - (-48 + 37) - 0?
11
What is (16 - (-8 - (0 - 4))) + -5 - 5?
10
What is the value of (2 - -8) + -3 + -208 + 200 - -20?
19
What is 26 + -45 + 7 + (9 - 1)?
-4
-24 - (-14 + (35 - 6) - 15)
-24
-1 + 3 + (-1 - 0) - (-418 - -423)
-4
Evaluate -2 - ((-4 - 25) + 15).
12
What is 11 + -28 + 1 + (88 - 83)?
-11
Calculate 23 + -15 + 6 + -5 + 5.
14
What is the value of -9 + 27 + -14 - (-1 - -4)?
1
Calculate 0 + (5 + -22 - -36).
19
6 - ((-12 - -4 - -5 - -3) + 4)
2
What is -11 - (-11 + -40 + 4 - -9)?
27
Evaluate 0 - (-1 - ((4 - (-2 + 1)) + -2)).
4
Calculate (1 - (-11 + -1 + -1)) + -40 + 38.
12
Calculate 3 + -10 + 0 + -9 + 13.
-3
What is the value of 23 - ((-13 - -10) + -5 + 15)?
16
2 + -2 + (-23 + 3 - -8)
-12
Evaluate 6 - (8 + (9 - 8) + 0 + -9).
6
What is the value of (13 - (0 + -2)) + (552 - 588)?
-21
Evaluate 25 + -4 + (-109 - -112).
24
What is the value of 16 + (-18 - -7) + (-3 - 0) + -22?
-20
Evaluate (1 - 0) + 5 + (19 - (12 - 1)).
14
What is -6 - (-7 + (-9 - -21) + (-8 - 2))?
-1
-1 - (1 + -7 + (22 - 21) - -5)
-1
What is (1900 - 1898) + (1 - (-1 - -2))?
2
Calculate 33 + -7 - (17 - -4).
5
Calculate (370 - 363) + (-21 - 0).
-14
-3 + (4 - 6 - 2) + 2 + 15
10
Evaluate 4 + 11 + (-9 + -1 - -1).
6
What is the value of 0 - -15 - -2 - 18?
-1
What is (-26 - -15 - (-1 - -4)) + -2?
-16
Evaluate 3 + (1 - (4 - (12 - 49))).
-37
What is the value of 33 + -4 - 55 - -38?
12
What is the value of -10 - (1 + -9) - -12?
10
What is 7 - (-1 + (-21 - -28))?
1
What is -14 - (-11 + 1 - 6)?
2
Evaluate (1165 - 1156) + (-1 - (0 + 7) - -1).
2
Evaluate -10 + (0 + 9 - 16).
-17
Evaluate 39 + -99 + 57 - (2 - 10).
5
What is the value of 60 + -45 - (4 - (5 + -3))?
13
What is the value of -19 + (-28 - -11 - -23)?
-13
Evaluate -12 + 16 + -15 + 16.
5
What is the value of 53 + (-29 - 13) - (-25 + (2 - 2))?
36
Calculate -71 + (8 - (-71 - -36)).
-28
Calculate 6 + (17 - 24 - (12 - 4)).
-9
Calculate -9 + (-3 - (-6 + 2 + 0 - 2)).
-6
What is 54 + (17 - 36) + -52?
-17
What is the value of 6 + -43 + 15 + 4?
-18
What is the value of 11 + (12 - (-10 - (-9 + 0))) + -11?
13
Evaluate (29 + 0 + -17 - 1) + 0 + -17.
|
{
"pile_set_name": "DM Mathematics"
}
|
the nearest to 2/3 in 0.5, 1, -0.1, -155, 13.16?
0.5
What is the closest to 26490 in -0.0404, -5, 2?
2
What is the closest to 0.17 in 3, 0.5, -3, 22, 144, 2/21?
2/21
What is the closest to -2/5 in -4.3, 4/7, 1, 2, 0.01?
0.01
Which is the nearest to 0? (a) -3 (b) -40 (c) -1171 (d) 2 (e) -11/2
d
What is the closest to 1/2 in -1/354857, -13, -0.3?
-1/354857
What is the closest to 5 in -9, -4, 23, 4846?
-4
Which is the closest to 1? (a) -260 (b) -0.04 (c) -1.4 (d) 5 (e) 0.4
e
Which is the nearest to -445/13? (a) 3 (b) -6/13 (c) -1/6 (d) -0.1 (e) 3/7 (f) 9/13
b
What is the closest to 76 in 0, -161, -5, -9/2?
0
Which is the nearest to 25/6? (a) 4 (b) -1/4 (c) 0.54 (d) -32
a
What is the closest to 3.1 in 1/7963, -3, -4, 0.2?
0.2
Which is the closest to -2? (a) 4579 (b) -2/3 (c) -4 (d) 1/4 (e) 2
b
What is the nearest to -1 in -1, -17/32, 1/5, 6/29?
-1
What is the closest to -1 in 2, 3/2, -6/433, 139, 1?
-6/433
What is the nearest to -31405 in 0.3, -2, 1/3, 3?
-2
Which is the nearest to -2/3? (a) -1/8 (b) -0.09 (c) -2 (d) -11/789
a
Which is the closest to 0.03? (a) 2/9 (b) -3 (c) -197/121
a
What is the nearest to 0.1664 in 3, 5, 3/4, -0.3, 131?
-0.3
What is the nearest to 405 in -109, -2/9, -4, 3, 7?
7
Which is the closest to -2/1453? (a) -1/3 (b) 2.7 (c) -1/5 (d) -1/6 (e) -37
d
What is the closest to 39 in -0.2, -0.6, 1, -6.2?
1
What is the closest to -4 in 4, -3/269, -0.4, 1/7?
-0.4
Which is the closest to 2/5? (a) -0.672 (b) -200 (c) -0.5
c
Which is the closest to -350? (a) 0 (b) 3 (c) -1/3 (d) -3 (e) 103
d
What is the closest to 17 in 4, 5, -4/63, 0?
5
What is the closest to 4 in -3, 0.6, 0.06, 1/3, 161?
0.6
Which is the nearest to -0.4? (a) 3 (b) -417.18 (c) 164
a
Which is the closest to 0? (a) -4 (b) 1222 (c) 309 (d) -9
a
What is the closest to 2 in -96, -307, -4, 1/4, -8?
1/4
What is the nearest to -2/7 in 1/4, 0.4, 18, 63/10, 19?
1/4
What is the nearest to -1 in 2.98, 2/1459, -2?
-2
Which is the closest to 0? (a) 2 (b) -2177.9 (c) -465/4
a
What is the closest to -12/121 in -7, 3, 465?
3
Which is the nearest to 0.4? (a) 0.4 (b) -5/4 (c) 0.3 (d) 115646
a
Which is the closest to -139.3? (a) -0.1 (b) -104124 (c) 3
a
What is the closest to 0.1 in -5/4, -0.135, 1/7, -18/11, 0.6, -5?
1/7
What is the closest to -0.1 in -0.4, -1/4, 0.4931, 5/4, 4/5?
-1/4
What is the closest to 12 in -4244, -0.3, 2/11, 0.09?
2/11
Which is the closest to 19? (a) 0.2 (b) 725 (c) 0.1 (d) 0.06
a
What is the closest to 5 in 186, -0.4, -1801?
-0.4
What is the closest to 1/4 in 3.1, 0, -2, -1.6, -2/3, -233?
0
Which is the closest to -0.0016? (a) -4 (b) -35.5 (c) -5
a
What is the nearest to -5/2 in -0.3, 1.5, 29, -2/13, -8?
-0.3
Which is the closest to -0.1? (a) -12 (b) 225 (c) 1/5806
c
Which is the closest to -1/3? (a) -0.4 (b) -1 (c) -5/2 (d) -5/7 (e) -0.02058
a
What is the closest to -4/21 in -0.007, -0.5, 2, 4, -3.16?
-0.007
What is the nearest to -0.3 in 4/81, 17, -1/2, 1212, 2/11?
-1/2
What is the closest to -323657 in -5, -0.3, -0.5, 0, -3?
-5
What is the nearest to -86.051996 in 2, 0.1, -5?
-5
What is the nearest to 2/5 in 0.04, 2004733, -0.3?
0.04
What is the closest to -2/9 in 4/19, -107, 15/7, -5, 5?
4/19
Which is the closest to -1/832? (a) 0.3 (b) 9 (c) -4 (d) -2 (e) -13
a
What is the nearest to 30 in -0.2, -2/7, -0.4, -8, -4, 8?
8
Which is the nearest to 32? (a) -31 (b) -0.5 (c) -1/5 (d) -6 (e) 1/10
e
Which is the nearest to -17? (a) -7/26339 (b) -2/7 (c) 2
b
Which is the closest to -2/3? (a) 2 (b) 0.4 (c) -44/265061
c
Which is the closest to 41/9? (a) 3 (b) -425 (c) -1
a
Which is the nearest to -2/13? (a) 17/6 (b) -41 (c) 5 (d) -0.5 (e) -4
d
Which is the nearest to -243? (a) 1/4 (b) -0.5 (c) 2/7 (d) -5 (e) 0.04
d
What is the closest to 0 in 6856, -5, 11/2, -1/5?
-1/5
Which is the nearest to 46? (a) -1/165 (b) -5 (c) -8.62
a
Which is the closest to 1/4? (a) -44/17 (b) 812/15 (c) -0.08
c
What is the closest to -28 in 0.1, -5, 1, 3, 13?
-5
What is the nearest to 1/3 in 5, 3, 1.4, 28017?
1.4
Which is the nearest to 2.2? (a) -83 (b) -3/5 (c) -0.4 (d) -1/132
d
What is the closest to -0.1 in -3.4, -3/23, -1, -6, 10/11?
-3/23
What is the nearest to -2/5 in -84/27865, -3, -1/18, 2/19?
-1/18
Which is the closest to 0.5? (a) -5 (b) -4 (c) -1/3 (d) 1281 (e) 0.1
e
What is the closest to 1/3 in 0, 1, -5, -4, 2.2481?
0
Which is the closest to -5? (a) 2 (b) -153 (c) 77
a
What is the nearest to 1 in -701, -2/15, 1902, -2/27?
-2/27
Which is the closest to -0.01? (a) 0 (b) 3438 (c) 5 (d) 0.1 (e) 6/11
a
Which is the nearest to 0.111? (a) -14 (b) -0.5 (c) -3/2 (d) 1 (e) 2.4
b
Which is the closest to 0? (a) -0.5 (b) -20 (c) -1/4 (d) 2/7 (e) -0.2 (f) 1/3655
f
What is the nearest to -2/17 in -153, -139.7, 0.3?
0.3
What is the closest to 52 in 4, 1/5, -2, -68, -41, 0.1?
4
Which is the closest to 2/13? (a) 6 (b) -1.7 (c) 2/11 (d) 29 (e) -1/2 (f) -103
c
Which is the nearest to 1/35? (a) 2 (b) -9938975 (c) 1/3
c
Which is the nearest to -2? (a) -0.5 (b) -4 (c) -2487 (d) -0.66
d
Which is the closest to -4/13? (a) -2 (b) 0.122 (c) 14 (d) -310 (e) -1/5
e
Which is the closest to -27? (a) -1 (b) -127 (c) -2438
a
Which is the closest to 0.143? (a) 1/3 (b) -0.3 (c) 0.1 (d) 3/35
c
Which is the closest to -24? (a) -5 (b) 11 (c) -46 (d) -7
d
Which is the nearest to 0.1? (a) -49 (b) -27 (c) 0.058 (d) -24
c
What is the nearest to 49/316 in -4, -2, 2/179?
2/179
What is the closest to -0.01 in 1.301, 16, 221?
1.301
Which is the closest to -7? (a) 1/2 (b) 1859 (c) -5
c
What is the nearest to 2500 in -46, -2/11, -0.4?
-2/11
Which is the nearest to -13? (a) -1/4 (b) -0.2 (c) 57735 (d) -4 (e) 0.1
d
Which is the nearest to -1/534? (a) -2.4 (b) -5 (c) -2 (d) 238 (e) 3
c
Which is the nearest to 0.04? (a) 5/2 (b) 436 (c) 3.9 (d) -1.3
d
Which is the nearest to -2/143? (a) 8 (b) -2 (c) 58
b
What is the closest to 2/5 in -0.5, 0.08, -22, 4/51, 0.005?
0.08
Which is the closest to 1? (a) -33070 (b) -3/8 (c) -11 (d) 11
b
What is the nearest to 9.522 in 0.03, -1.5, 2?
2
Which is the closest to 0.1? (a) 4 (b) -3/4 (c) 1.1 (d) 429
b
What is the nearest to 20910 in 2, 3, -27?
3
What is the nearest to -0.1 in -315, 0.135, 16/7?
0.135
What is the closest to -0.1 in 4/9, 1/30, -255878, 0.4, -0.2?
-0.2
Which is the closest to -1? (a) -2/15 (b) -2/17 (c) 5 (d) 4/3 (e) -223522
a
Which is the closest to -1? (a) -6 (b) 1/11 (c) 5 (d) 3 (e) 12068/9
b
Which is the nearest to 16/221? (a) -4 (b) 2/5 (c) 57 (d) 14
b
What is the nearest to -2/237 in 85, 0, 0.2, -5?
0
What is the nearest to -1 in -23, 41.1, 177?
-23
What is the closest to -2/5 in 4, 0, 3, 0.662, -3, 4664?
0
Which is the closest to -2/305? (a) 2 (b) 1.1 (c) 127/26
b
Which is the closest to -2/118201? (a) 1/3 (b) 8/7 (c) -0.3 (d) 16/33
c
Which is the closest to 3/23? (a) -63387 (b) 0.5 (c) 5
b
What is the closest to 30/103 in 1, -4, 7, 0.06?
0.06
Which is the nearest to 0? (a) -2 (b) 1/5 (c) 0.66 (d) -41 (e) -57 (f) 1/3
b
What is the nearest to 2/9 in -1, -7, 7/4, 3, 1829, 2?
-1
Which is the nearest to 1? (a) -5.6 (b) 160/7 (c) 499
a
Which is the nearest to -0.4? (a) 765/8 (b) -0.3 (c) 15
b
Which is the nearest to -0.1? (a) -5 (b) 6 (c) -1519/148
a
Which is the nearest to 0.02? (a) -18 (b) 6 (c) 12 (d) -2/7 (e) 20/7
d
What is the closest to -1 in 4/9, 14, 3, 3/68, 82?
3/68
What is the nearest to -0.18 in 2, -454, 3, -2, -253?
-2
What is the nearest to 0.1 in -37, -9603, 0.6?
0.6
What is the nearest to -0.2 in 11/6, -3, 1/4, 0.03, 353/2?
0.03
Which is the nearest to -2/3? (a) 6/25 (b) -3 (c) -4 (d) -15/92
d
Which is the nearest to -10? (a) 2/7 (b) 5 (c) -2/5 (d) -388 (e) -5
e
What is the closest to 1/7 in 1, -5, -4, 12, -804?
1
What is the closest to -2/29 in 6, 12, 2165?
6
Which is the nearest to 2/10725? (a) -0.5 (b) -7 (c) -0.2 (d) 5 (e) 1/8 (f) -0.09
f
What is the nearest to -1/192 in 0.8, 1/9, -17/10?
1/9
Which is the closest to -0.1? (a) -1 (b) -2.5 (c) -12 (d) 2/643
d
Which is the nearest to -3/2? (a) 6/2353 (b) -0.03 (c) 2/5 (d) 5
b
Which is the nearest to -349120? (a) 4/5 (b) 0.5 (c) -3
c
Which
|
{
"pile_set_name": "DM Mathematics"
}
|
6?
589
What is the highest common divisor of 47909 and 15571?
23
Calculate the highest common factor of 498 and 215584034.
166
Calculate the highest common factor of 46725042 and 1092.
546
Calculate the greatest common factor of 747270 and 68970.
570
Calculate the greatest common divisor of 7035630 and 462.
42
Calculate the highest common factor of 1165260 and 8980.
20
Calculate the greatest common factor of 80226 and 7254.
18
Calculate the highest common factor of 555 and 197542815.
555
Calculate the greatest common divisor of 6388756 and 2073496.
5428
Calculate the highest common factor of 2 and 275698.
2
Calculate the greatest common divisor of 5405 and 1279141895.
5405
What is the highest common divisor of 4594 and 888144238?
4594
Calculate the greatest common divisor of 12 and 474306192.
12
Calculate the highest common divisor of 874 and 1841288.
46
What is the highest common divisor of 113 and 3942899169?
113
Calculate the greatest common factor of 4004 and 30649619.
1001
What is the greatest common divisor of 258966 and 6921?
9
Calculate the greatest common factor of 208611 and 71.
1
Calculate the highest common factor of 683410 and 78715.
455
Calculate the greatest common divisor of 5025111 and 1729.
91
Calculate the greatest common factor of 2203185 and 433716.
2307
Calculate the highest common factor of 14066990 and 1785.
595
Calculate the greatest common divisor of 529305 and 815.
5
Calculate the highest common factor of 8470 and 5103.
7
What is the greatest common divisor of 1869 and 3496227?
21
Calculate the greatest common divisor of 266 and 4978428.
14
Calculate the highest common divisor of 53 and 15209569.
53
Calculate the greatest common factor of 23 and 810392603.
23
Calculate the greatest common factor of 20860837 and 117106.
5323
Calculate the highest common factor of 996 and 98292.
12
Calculate the greatest common factor of 16523068 and 1863692.
12508
What is the greatest common factor of 44 and 74375378?
22
What is the highest common divisor of 34458673 and 43727?
599
What is the greatest common divisor of 43354 and 4990618?
818
Calculate the highest common factor of 108329053 and 343.
49
What is the highest common divisor of 182031 and 571913?
1291
Calculate the highest common divisor of 680 and 469400.
40
What is the highest common divisor of 49741198 and 26?
26
Calculate the greatest common factor of 3727228 and 127100.
164
Calculate the highest common divisor of 9156090 and 982290.
7170
What is the greatest common divisor of 2041 and 26914667?
2041
Calculate the highest common factor of 1740433 and 11408.
713
What is the greatest common divisor of 352175 and 21925?
25
Calculate the highest common divisor of 3144 and 1682376.
24
Calculate the highest common divisor of 190 and 119979050.
10
What is the highest common divisor of 454 and 10139182?
454
What is the greatest common factor of 416 and 18340452?
52
What is the highest common factor of 3135 and 5320950?
285
What is the greatest common factor of 1822764 and 60?
12
What is the greatest common divisor of 2794725 and 25?
25
What is the greatest common divisor of 8841 and 41020?
7
Calculate the highest common factor of 8253679 and 497.
497
Calculate the greatest common factor of 259440402 and 57.
57
What is the highest common divisor of 28203717 and 29949?
201
Calculate the greatest common divisor of 5 and 111808355.
5
Calculate the highest common divisor of 27 and 388323.
9
Calculate the highest common divisor of 4 and 45197674.
2
What is the highest common divisor of 31108224 and 652?
652
Calculate the greatest common divisor of 97 and 32267826.
97
Calculate the greatest common divisor of 2234973 and 21.
3
Calculate the greatest common divisor of 29128 and 15283925.
331
Calculate the highest common divisor of 70 and 9640020.
10
What is the highest common divisor of 34 and 1651635?
17
What is the highest common divisor of 14256448 and 4627?
661
Calculate the greatest common factor of 8869091 and 22.
11
Calculate the highest common divisor of 210 and 34334286.
42
What is the greatest common divisor of 22135 and 786125?
95
What is the highest common divisor of 83125 and 155743?
133
Calculate the greatest common divisor of 29055875 and 191.
191
Calculate the greatest common factor of 347112 and 7578.
18
What is the greatest common factor of 2871 and 2235420?
99
Calculate the highest common divisor of 72991 and 296623.
1553
What is the greatest common factor of 38912 and 25213?
19
What is the greatest common divisor of 11216 and 241264?
16
What is the greatest common divisor of 945880618 and 62?
62
What is the greatest common divisor of 1203923 and 579751?
1139
What is the highest common divisor of 104 and 542949264?
104
What is the highest common factor of 8961 and 239475?
309
What is the highest common factor of 16533408 and 96?
96
What is the greatest common divisor of 5421 and 244501?
139
Calculate the greatest common factor of 1904950 and 500.
50
What is the highest common divisor of 1572 and 21957303?
393
Calculate the highest common factor of 3645 and 21745.
5
What is the highest common factor of 16767261 and 39951?
1737
What is the highest common divisor of 149206 and 638406?
2446
What is the greatest common factor of 6428602 and 7844?
74
What is the highest common factor of 434669 and 3535466?
593
Calculate the highest common factor of 1339124844 and 24.
12
What is the highest common factor of 40029 and 808?
1
Calculate the greatest common divisor of 2284388 and 19364.
188
What is the greatest common divisor of 982760 and 394210?
790
Calculate the highest common factor of 995063 and 443166.
317
Calculate the greatest common divisor of 343552 and 14432.
352
What is the greatest common factor of 724 and 74436?
4
Calculate the greatest common divisor of 12151 and 48720.
29
Calculate the highest common divisor of 35554 and 11022353.
613
What is the highest common divisor of 24190575 and 3570?
255
Calculate the greatest common factor of 16743 and 26632532.
5581
What is the greatest common divisor of 49621 and 20669?
11
Calculate the greatest common factor of 2277 and 1163961.
207
Calculate the greatest common divisor of 179205 and 139113.
39
Calculate the greatest common factor of 185274 and 102276.
54
What is the greatest common divisor of 62542221 and 2139?
2139
Calculate the greatest common factor of 28811088 and 828.
828
What is the greatest common divisor of 232451326 and 7563?
2521
What is the greatest common divisor of 42496336 and 1886?
82
What is the greatest common divisor of 2500 and 20388500?
500
What is the highest common factor of 391 and 2061029?
17
Calculate the highest common factor of 30 and 1269735.
15
Calculate the greatest common factor of 6300175 and 27800.
3475
What is the greatest common factor of 12668 and 36328657?
3167
Calculate the highest common factor of 32010 and 3803370.
2910
Calculate the highest common divisor of 99002068 and 40172.
3652
Calculate the highest common divisor of 85278876 and 36.
12
What is the greatest common factor of 392995 and 137429?
53
What is the highest common divisor of 1622656 and 8064?
896
Calculate the greatest common divisor of 40175623 and 73.
73
Calculate the greatest common factor of 4089078 and 185472.
2898
Calculate the highest common divisor of 16314994 and 232.
58
What is the highest common divisor of 77984 and 17612199?
2437
What is the greatest common divisor of 123930 and 6209622?
1458
What is the greatest common divisor of 310187717 and 7?
7
What is the greatest common factor of 7830591 and 408?
51
Calculate the highest common divisor of 49987896 and 112.
56
What is the highest common divisor of 3693184 and 1562?
22
What is the highest common divisor of 7798288 and 1472?
368
Calculate the greatest common divisor of 642 and 1945474.
214
Calculate the highest common divisor of 8235 and 8600634.
1647
Calculate the highest common divisor of 2400 and 12131400.
600
What is the highest common factor of 507039445 and 2365?
2365
What is the highest common divisor of 22888495 and 5810?
2905
What is the greatest common factor of 12450 and 402842160?
2490
What is the highest common factor of 7938 and 65002?
14
Calculate the greatest common factor of 15829 and 3305383.
1439
What is the highest common d
|
{
"pile_set_name": "DM Mathematics"
}
|
picked without replacement from jjdvawwajdnvdand?
1/30
Calculate prob of sequence eio when three letters picked without replacement from {i: 4, o: 2, s: 2, e: 1, q: 7}.
1/420
Calculate prob of sequence aoee when four letters picked without replacement from eaeeeeeeaaeeeeeeeoee.
2/323
Four letters picked without replacement from ullullluuuulu. Give prob of sequence llul.
7/143
Four letters picked without replacement from {f: 3, y: 1, n: 5, x: 3}. What is prob of sequence ffnn?
1/99
Calculate prob of sequence ujj when three letters picked without replacement from {k: 2, u: 5, j: 3}.
1/24
Calculate prob of sequence pp when two letters picked without replacement from {p: 10}.
1
Calculate prob of sequence jjjt when four letters picked without replacement from {t: 1, p: 11, j: 3}.
1/5460
Two letters picked without replacement from {s: 7, d: 2}. Give prob of sequence ss.
7/12
Calculate prob of sequence ppp when three letters picked without replacement from pppppp.
1
Four letters picked without replacement from {k: 3, h: 5}. What is prob of sequence kkkh?
1/56
Calculate prob of sequence zz when two letters picked without replacement from {w: 2, p: 3, z: 15}.
21/38
Three letters picked without replacement from lblyybyb. What is prob of sequence yyb?
3/56
Three letters picked without replacement from {e: 5}. Give prob of sequence eee.
1
Three letters picked without replacement from fvvvpprppvppf. Give prob of sequence pvv.
6/143
Calculate prob of sequence jij when three letters picked without replacement from jcccjcjijjjqj.
7/286
Calculate prob of sequence mmm when three letters picked without replacement from mkk.
0
Four letters picked without replacement from {q: 2, f: 14, i: 1}. Give prob of sequence iqqf.
1/2040
What is prob of sequence gw when two letters picked without replacement from {d: 3, c: 2, y: 2, l: 4, w: 2, g: 1}?
1/91
Four letters picked without replacement from fffffzxxffffz. Give prob of sequence ffzz.
6/715
Three letters picked without replacement from {r: 3, q: 1, w: 6, u: 2, n: 4, c: 4}. Give prob of sequence qur.
1/1140
What is prob of sequence ptr when three letters picked without replacement from {r: 2, t: 1, p: 1, b: 2}?
1/60
Three letters picked without replacement from {a: 1, b: 1, j: 5, q: 1, f: 1}. What is prob of sequence bfq?
1/504
Three letters picked without replacement from ymmyknfkyksyy. What is prob of sequence kmk?
1/143
Three letters picked without replacement from {w: 9, x: 2, s: 4, l: 3}. What is prob of sequence wls?
3/136
What is prob of sequence vu when two letters picked without replacement from {u: 2, v: 4, d: 2}?
1/7
Three letters picked without replacement from qbkjjnqbqjnkon. Give prob of sequence bnn.
1/182
Calculate prob of sequence jzju when four letters picked without replacement from zejueeujezeeejjejze.
5/3876
Calculate prob of sequence muw when three letters picked without replacement from mamuvawaa.
1/252
Calculate prob of sequence wab when three letters picked without replacement from wab.
1/6
Calculate prob of sequence cz when two letters picked without replacement from {c: 1, z: 3, a: 4, p: 1, r: 2}.
3/110
What is prob of sequence ryrv when four letters picked without replacement from vrvryrvrrvvvv?
7/858
Three letters picked without replacement from {w: 7, n: 8, m: 3}. What is prob of sequence wwn?
7/102
Two letters picked without replacement from {m: 2, l: 1, c: 1, q: 1}. Give prob of sequence ll.
0
What is prob of sequence ooe when three letters picked without replacement from {o: 5, e: 2, u: 3, i: 2}?
1/33
Two letters picked without replacement from {v: 9, l: 2, r: 4, f: 4}. Give prob of sequence rl.
4/171
Four letters picked without replacement from pwwswpswpsppwws. Give prob of sequence sppp.
2/273
What is prob of sequence kho when three letters picked without replacement from okxhkxxxhoxh?
1/110
Three letters picked without replacement from {i: 1, w: 2, g: 1, t: 1, z: 2, l: 1}. Give prob of sequence ilw.
1/168
Calculate prob of sequence ff when two letters picked without replacement from {f: 3, g: 2}.
3/10
Calculate prob of sequence hh when two letters picked without replacement from {q: 12, h: 3}.
1/35
What is prob of sequence yy when two letters picked without replacement from iyioyiyyiioyiyy?
1/5
What is prob of sequence ee when two letters picked without replacement from eaezaaoa?
1/28
Two letters picked without replacement from {a: 2, g: 2, s: 2, p: 2}. What is prob of sequence pa?
1/14
Calculate prob of sequence nnjj when four letters picked without replacement from rnjjnnznnwjnnznjjw.
7/459
Two letters picked without replacement from cdxtldx. Give prob of sequence dx.
2/21
What is prob of sequence akkq when four letters picked without replacement from aakynkqanqaq?
1/495
Two letters picked without replacement from {w: 1, k: 1, q: 9, r: 7}. What is prob of sequence wq?
1/34
Two letters picked without replacement from sgspjyg. Give prob of sequence js.
1/21
What is prob of sequence lldd when four letters picked without replacement from dlddll?
1/10
Two letters picked without replacement from ittrttitrgtrg. What is prob of sequence gt?
1/13
Calculate prob of sequence cc when two letters picked without replacement from {d: 9, c: 5}.
10/91
Two letters picked without replacement from {h: 3, n: 1, f: 1, m: 2}. What is prob of sequence mn?
1/21
Three letters picked without replacement from {h: 3, i: 5, p: 2, w: 2, n: 3}. Give prob of sequence pih.
1/91
Four letters picked without replacement from kktwkwtttkkw. Give prob of sequence tkkk.
2/99
Calculate prob of sequence ayt when three letters picked without replacement from {v: 3, y: 1, a: 1, t: 2}.
1/105
Calculate prob of sequence id when two letters picked without replacement from htdhwie.
1/42
Calculate prob of sequence pvxe when four letters picked without replacement from {e: 3, x: 1, v: 2, p: 1, f: 8, i: 2}.
1/9520
What is prob of sequence bqbm when four letters picked without replacement from mbpkqbk?
1/420
Three letters picked without replacement from {u: 14, s: 5}. Give prob of sequence sss.
10/969
Calculate prob of sequence kt when two letters picked without replacement from {h: 4, k: 2, m: 8, t: 2}.
1/60
Three letters picked without replacement from kkxhkqs. Give prob of sequence hqs.
1/210
What is prob of sequence gg when two letters picked without replacement from {g: 2, f: 4}?
1/15
What is prob of sequence mmmc when four letters picked without replacement from mcomoojcmoiimm?
5/1001
Two letters picked without replacement from {y: 1, b: 2, h: 9, i: 4}. Give prob of sequence ib.
1/30
Calculate prob of sequence ix when two letters picked without replacement from {e: 2, a: 2, x: 4, i: 2}.
4/45
Two letters picked without replacement from rbrb. What is prob of sequence br?
1/3
Calculate prob of sequence es when two letters picked without replacement from esesseseessseeeses.
9/34
Calculate prob of sequence hxfh when four letters picked without replacement from {p: 2, n: 2, x: 1, f: 7, h: 6}.
7/2448
Two letters picked without replacement from smoioiisssssso. What is prob of sequence io?
9/182
What is prob of sequence jukk when four letters picked without replacement from jjpkypupkppyjpj?
1/4095
Two letters picked without replacement from {c: 2, u: 1, l: 3, a: 5, r: 8}. What is prob of sequence aa?
10/171
Two letters picked without replacement from olkqkqllmlkmimii. Give prob of sequence qi.
1/40
Three letters picked without replacement from {f: 3, i: 11}. What is prob of sequence fff?
1/364
Four letters picked without replacement from {k: 12, w: 1, p: 7}. What is prob of sequence pkpp?
7/323
Two letters picked without replacement from mbymbbmmmmmbmymbmb. What is prob of sequence my?
10/153
Two letters picked without replacement from {n: 11, q: 1, y: 2, i: 1, f: 5}. What is prob of sequence qi?
1/380
What is prob of sequence ux when two letters picked without replacement from {e: 3, q: 5, u: 1, x: 1}?
1/90
Two letters picked without replacement from {o: 1, m: 2, l: 7, z: 1, w: 4, y: 3}. Give prob of sequence oy.
1/102
Two letters picked without replacement from {r: 2, q: 4, k: 1, a: 2, t: 1}. Give prob of sequence ra.
2/45
What is prob of sequence wz when two letters picked without replacement from {r: 7, z: 4, w: 6}?
3/34
What i
|
{
"pile_set_name": "DM Mathematics"
}
|
114847, -143726, -172637?
-201574
What is the next term in -5905, -11743, -17583, -23425?
-29269
What is the next term in -3819, -8330, -14195, -22092, -32699, -46694, -64755?
-87560
What is next in -179589, -357314, -535039?
-712764
What comes next: 43339, 346765, 1170357, 2774197, 5418367, 9362949?
14868025
What comes next: 12543218, 12543213, 12543208, 12543203, 12543198, 12543193?
12543188
What comes next: -17119, -17149, -17195, -17257, -17335, -17429, -17539?
-17665
What is the next term in -2951, -4075, -5201, -6335, -7483, -8651?
-9845
What is next in 2439, 3319, 5733, 10449, 18235?
29859
What comes next: 19728, 39613, 59498, 79383, 99268?
119153
What comes next: 569, 74, -739, -1870, -3319?
-5086
What is the next term in -210956593, -210956595, -210956597, -210956599?
-210956601
What is next in -4771, -9511, -14199, -18835, -23419, -27951?
-32431
What is the next term in 4330257, 8660516, 12990775, 17321034?
21651293
What comes next: 26269, 48393, 85269, 136903, 203301, 284469, 380413, 491139?
616653
What is next in 226403, 452857, 679311, 905765, 1132219, 1358673?
1585127
What is next in 1762431, 1762430, 1762429, 1762428?
1762427
What is next in 4532926, 4532935, 4532944?
4532953
What comes next: -6314794, -6314800, -6314810, -6314824, -6314842, -6314864, -6314890?
-6314920
What comes next: -33551859, -33551858, -33551857, -33551856, -33551855, -33551854?
-33551853
What is the next term in -2506, -11689, -26992, -48415, -75958, -109621?
-149404
What comes next: -82170477, -82170479, -82170481, -82170483, -82170485, -82170487?
-82170489
What is next in 1596059, 3191772, 4787495, 6383234, 7978995, 9574784?
11170607
What is next in 48910, 50059, 51958, 54595, 57958, 62035, 66814, 72283?
78430
What is next in -15921, -63863, -143765, -255633, -399473?
-575291
What is next in 9633873, 9633992, 9634111, 9634230, 9634349, 9634468?
9634587
What comes next: 120238924, 240477855, 360716788, 480955723, 601194660, 721433599?
841672540
What is next in 86851, 168992, 251135, 333280, 415427, 497576?
579727
What is the next term in -7580, -36174, -83830, -150548?
-236328
What is the next term in -13156, -26694, -40232?
-53770
What is next in 189, -11, -967, -3057, -6659, -12151?
-19911
What is the next term in 20053, 40097, 60131, 80149, 100145, 120113?
140047
What is next in -3953974, -3953970, -3953962, -3953950?
-3953934
What comes next: -11898, -47217, -106012, -188223, -293790, -422653?
-574752
What is the next term in 50360, 100730, 151098, 201464?
251828
What is the next term in 1921, 6984, 15191, 26542, 41037?
58676
What comes next: -76807, -76197, -75571, -74929, -74271?
-73597
What is the next term in -3093, -3110, -3137, -3186, -3269, -3398, -3585, -3842?
-4181
What is next in -63730, -63980, -64382, -64924, -65594?
-66380
What is next in 227637, 910520, 2048639, 3641994, 5690585?
8194412
What is next in -426820, -426856, -426892, -426928, -426964, -427000?
-427036
What is next in -10243, -41088, -92537, -164590?
-257247
What comes next: 5207, 5194, 5173, 5144, 5107?
5062
What is the next term in -433, -3423, -11551, -27391, -53517, -92503, -146923, -219351?
-312361
What is the next term in 34814, 134237, 299932, 531893, 830114, 1194589, 1625312?
2122277
What comes next: 69, -24, -197, -498, -975?
-1676
What is next in 457519, 914971, 1372423, 1829875, 2287327?
2744779
What is the next term in -163258, -326412, -489566, -652720, -815874?
-979028
What is the next term in 215, 1292, 3895, 8690, 16343, 27520, 42887?
63110
What comes next: 13331, 13311, 13281, 13235, 13167, 13071, 12941?
12771
What is next in -11343902, -11343899, -11343896, -11343893, -11343890?
-11343887
What comes next: -1792, -3670, -8744, -18616, -34888?
-59162
What is next in -19067, -18974, -18881, -18788?
-18695
What comes next: -318682, -1275066, -2869042, -5100610, -7969770?
-11476522
What comes next: 2274, 13902, 45408, 106716, 207750, 358434?
568692
What is the next term in 1394158, 2788315, 4182472, 5576629, 6970786?
8364943
What is next in 138669, 135851, 133035, 130221, 127409, 124599?
121791
What is the next term in 484, 563, 640, 715, 788, 859?
928
What is the next term in -9256903, -9256920, -9256937, -9256954, -9256971, -9256988?
-9257005
What is the next term in -7341, -32417, -74213, -132729, -207965, -299921, -408597?
-533993
What is next in -7405716, -14811431, -22217146, -29622861, -37028576, -44434291?
-51840006
What comes next: 104302276, 208604553, 312906830?
417209107
What is the next term in 33, -77, -287, -645, -1199?
-1997
What is next in -66, -1019, -3508, -8301, -16166, -27871?
-44184
What is the next term in -31166, -124641, -280428, -498539, -778986, -1121781?
-1526936
What comes next: -11985126, -23970237, -35955348, -47940459, -59925570, -71910681?
-83895792
What is the next term in 38186146, 38186147, 38186148, 38186149, 38186150?
38186151
What comes next: -188, -1480, -4844, -11270, -21748, -37268, -58820?
-87394
What is next in -335, -609, -901, -1205, -1515, -1825, -2129?
-2421
What is next in -774653846, -774653848, -774653850?
-774653852
What is the next term in 2451, 3932, 5445, 6990, 8567, 10176?
11817
What is the next term in -93306, -186613, -279920, -373227?
-466534
What comes next: 7062583, 7062588, 7062593, 7062598, 7062603, 7062608?
7062613
What is the next term in 255, -1808, -6179, -12852, -21821, -33080?
-46623
What is the next term in -23408, -47332, -71256?
-95180
What is next in 277, -13, -321, -647, -991, -1353, -1733?
-2131
What is next in -436147, -872286, -1308425?
-1744564
What comes next: 14093, 56407, 126895, 225527, 352273?
507103
What is next in -5120, -6368, -7590, -8786?
-9956
What is the next term in 113, 91, -53, -313, -683?
-1157
What is the next term in -80957035, -80957034, -80957033, -80957032, -80957031?
-80957030
What is the next term in -306, -497, -572, -531, -374?
-101
What comes next: -5893185, -11786288, -17679391, -23572494, -29465597?
-35358700
What is the next term in 2123841, 4247691, 6371539, 8495385?
10619229
What is the next term in -34856, -37463, -40070, -42677, -45284?
-47891
What comes next: 798873, 3195552, 7190017, 12782268, 19972305?
28760128
What is next in -75692631, -151385272, -227077913, -302770554?
-378463195
What comes next: -364241, -727636, -1091031?
-1454426
What comes next: 257768, 257769, 257770, 257771, 257772?
257773
What is the next term in 11798, 22610, 32448, 41318, 49226, 56178?
62180
What is the next term in -274, 1059, 5544, 14759, 30282, 53691?
86564
What comes next: 112146019, 112146021, 112146023, 112146025, 112146027, 112146029?
112146031
What comes next: 3379, 14729, 35859, 68581, 114707?
176049
What is the next term in 33037187, 33037185, 33037183, 33037181, 33037179?
33037177
What is next in -18577, -74256, -167045, -296938, -463929?
-668012
What is the next term in -522598892, -522598893, -522598894?
-522598895
What is the next term in -475791, -951622, -1427447, -1903260, -2379055, -2854826?
-3330567
What is next in -55960, -55943, -55926?
-55909
What comes next: 593016, 1186029, 1779042, 2372055, 2965068?
3558081
What comes next: 4442874, 4442848, 4442822, 4442796?
4442770
What is next in 7489983, 14979950, 22469917, 29959884, 37449851?
44939818
What is the next term in 3032, 2892, 2518, 1910, 1068, -8?
-1318
What comes next: -5567, -19686, -43219, -76166, -118527?
-170302
What is the next term in 3248, 3297, 3314, 3293, 3228, 3113, 2942?
2709
What is the next term in -6802631, -13605265, -20407899, -27210533?
-34013167
What is next in -12201, -24487, -36773, -49059?
-61345
What is the next term in 53154, 106374, 159594, 212814, 266034?
319254
What is the next term in 14707, 14822, 15039, 15376, 15851, 16482?
17287
What is the next term in -5069, -20380, -45897, -81620?
-127549
What is next in -357980361, -357980359, -357980357, -357980355?
-357980353
What is next in -65162099, -130324196, -195486293, -260648390, -325810487, -390972584?
-456134681
What comes next: -1717, -8924, -20933, -37744, -59357, -85772, -116989?
-153008
What is next in 3409, 3505, 3625, 3769, 3937, 4129?
4345
What is next in -926687, -926621, -926513, -926363?
-926171
What is the next term in -6711656, -13423313, -20134970, -26846627, -33558284?
-40269941
What is next in 146
|
{
"pile_set_name": "DM Mathematics"
}
|
z(w) = -w**3 - 3*w**2 - 3*w - 1. Suppose 4*l + 5 = -3. Let m be z(l). What is the first derivative of -1 + m + 2 - 2*t**4 wrt t?
-8*t**3
Let b(t) be the third derivative of 0 + 0*t**6 + 0*t**5 + 0*t - t**2 - 5/24*t**4 + 0*t**7 + 1/168*t**8 + 0*t**3. Find the second derivative of b(d) wrt d.
40*d**3
Let g = -4 - -7. Let r(u) = -u**2 + u - 1. Let x(d) = 5*d**2 - 4*d + 5. Let w(o) = g*x(o) + 12*r(o). Differentiate w(j) wrt j.
6*j
Let h = 1/2 - 1/10. Let u(g) be the first derivative of 0*g**2 - h*g**5 + 0*g**4 - g + 3 + 0*g**3. What is the derivative of u(j) wrt j?
-8*j**3
What is the second derivative of -30*h**2 + 18*h + 30*h**2 + 0*h + 2*h**3 wrt h?
12*h
Let m(f) be the second derivative of 2*f**6/15 + 4*f**3/3 + 8*f. What is the second derivative of m(u) wrt u?
48*u**2
Let i(j) be the third derivative of j**7/21 + 13*j**3/6 + 7*j**2. Differentiate i(x) with respect to x.
40*x**3
Let u be (-100)/(-36) - (-4)/18. Find the second derivative of 2*h**3 + 3*h + 3*h**2 - 2*h - u*h**2 wrt h.
12*h
Let o = -1 - -4. Find the third derivative of -3*q**3 + 2*q**3 + o - 3 - q**2 wrt q.
-6
Suppose -i + 0*i - 3*i = 0. Let y(v) be the second derivative of -3/2*v**2 + i + 0*v**4 + 0*v**3 + 1/20*v**5 - 4*v. Differentiate y(d) with respect to d.
3*d**2
Let g(f) = -18*f**3 - 2*f**2. Let i(p) = 17*p**3 + 3*p**2. Let z(l) = 5*g(l) + 6*i(l). Find the third derivative of z(q) wrt q.
72
Let m(q) be the second derivative of 0*q**3 + 0*q**5 - 5*q - 5/2*q**2 + 0 + 0*q**4 + 2/15*q**6. Find the first derivative of m(a) wrt a.
16*a**3
Differentiate 1 - 26*q**3 + 2 + 22*q**3 with respect to q.
-12*q**2
Let r = 15 + -19. Let f(p) = 4*p + 9. Let h(l) = l**2 - 9*l - 19. Let k(y) = r*h(y) - 9*f(y). What is the derivative of k(t) wrt t?
-8*t
Let w(p) be the third derivative of -p**5/12 - p**3/6 + 4*p**2. Differentiate w(q) with respect to q.
-10*q
Let m = 50 - 80. Let b be (-3)/(-12) + m/(-8). What is the first derivative of -3*s**4 - 1 - s**4 + 2*s**b wrt s?
-8*s**3
Let v(t) be the second derivative of -11*t**4/12 + t**3/6 + 10*t. Find the second derivative of v(f) wrt f.
-22
What is the first derivative of -3 - 46*x**3 + 4 + 48*x**3 wrt x?
6*x**2
What is the third derivative of -m**6 + 6*m**2 - 20*m**2 - 2*m**6 + m**2 wrt m?
-360*m**3
Let k = -3 + 6. Differentiate -2 + 9*s**3 - 6 + k - 2*s**3 wrt s.
21*s**2
Let a be (2/(-3))/(3/(-9)). Let k be 3 - (-3 + a + 3). What is the first derivative of -f + 2 - 4 - k wrt f?
-1
Let p(z) = z - 1. Let m(i) = -i + 2. Let b(g) = m(g) - 2*p(g). Find the first derivative of b(d) wrt d.
-3
Let c(w) be the first derivative of 5*w**3/3 + 4*w**2 - 5. Find the second derivative of c(l) wrt l.
10
Let i = 18 + -10. Find the third derivative of l**2 - i*l**5 + 6*l**5 + 2*l**2 wrt l.
-120*l**2
Let z(b) = b**2 + 1. Let p(m) = 1. Let j = 4 + -6. Let x be ((-2)/3)/((-4)/(-6)). Let n(f) = j*z(f) + x*p(f). Differentiate n(q) wrt q.
-4*q
Let i(p) = -p**3 + 2*p**2 + 3*p + 1. Let s be i(3). Suppose -7 - s = -4*y. Find the third derivative of 6*g**6 - 3*g**6 + g**y - g**6 wrt g.
240*g**3
Differentiate 40*v**2 - 4 - 4 + 0 - 23*v**2 with respect to v.
34*v
Suppose 0*m + m = 4. Suppose m*t = -t. Find the third derivative of v - v + v**5 - 3*v**2 + t*v wrt v.
60*v**2
Let n(f) = f**3 + 5*f**2 - 7*f - 2. Let c be n(-6). Let g = c - 1. What is the third derivative of 3*s**g - s**3 - s**2 - s + s wrt s?
12
Let i(h) = 3*h**3 + 6*h**2 - 2*h - 4*h - 4*h**3 + 0*h**3. Let x(a) = a**3 - 7*a**2 + 7*a + 1. Let c(b) = -7*i(b) - 6*x(b). Differentiate c(z) with respect to z.
3*z**2
Let h(q) = 26*q**5 + 24*q**2 - 3*q + 3. Let j(g) = -51*g**5 - 48*g**2 + 5*g - 5. Let s(y) = -5*h(y) - 3*j(y). What is the third derivative of s(c) wrt c?
1380*c**2
Let z(m) = -2*m + 2. Let c(q) = -q + 1. Let b(f) = -8*c(f) + 3*z(f). Differentiate b(o) wrt o.
2
Let r(b) be the first derivative of -b**4/2 - 11*b**2 - 8. Find the second derivative of r(o) wrt o.
-12*o
Let y(a) = -4*a - 67. Let w(b) = 6*b + 66. Let g(x) = 6*w(x) + 5*y(x). What is the first derivative of g(k) wrt k?
16
Let f(y) be the second derivative of -5*y**3/6 + y**2 + y. Differentiate f(g) with respect to g.
-5
Let q(p) be the third derivative of p**6/360 + 7*p**4/24 + p**3 - 7*p**2. Let a(g) be the first derivative of q(g). Differentiate a(t) with respect to t.
2*t
Let g(q) be the first derivative of -3/2*q**2 + 1 + 3*q. Find the first derivative of g(y) wrt y.
-3
Let w be 2 - (-2)/(-3)*3. Let u(i) be the third derivative of i**2 + 0 + 1/6*i**3 + 0*i + w*i**4 + 0*i**5 + 1/60*i**6. Differentiate u(z) wrt z.
6*z**2
Let n(t) = -t**3 + 4*t**2 + 2*t - 6. Let q be n(4). Find the first derivative of -7*z**2 - q*z**3 - 4 + 3 + 7*z**2 wrt z.
-6*z**2
Let a(p) be the second derivative of p**6/5 - p**3/2 - 2*p. Find the second derivative of a(n) wrt n.
72*n**2
Let n(g) = -g**3 + 8*g**2 - 6*g - 4. Let q be n(7). Suppose 4*v = 3 + 1. Find the first derivative of -5 + q + 3*w**2 + v wrt w.
6*w
Let c(g) be the first derivative of -37*g**6/6 - 2*g**3 - 38. What is the third derivative of c(k) wrt k?
-2220*k**2
Suppose 0 = -6*z + 2 + 10. Let l(n) = n**3 + 2*n**2 - 4*n - 3. Let o be l(-2). What is the second derivative of 2*u**o + 3*u - z*u + 0*u wrt u?
40*u**3
Let q(d) = d - 1. Let v(y) = 8*y - 9. Let g(h) = -6*q(h) + v(h). Find the first derivative of g(i) wrt i.
2
Let h be (30/9)/(2/3). Suppose -a - h*y + 7 = 0, a - 6*a + 5*y = -5. Differentiate 2*n**3 + 4*n**a - 2 - 4*n**2 with respect to n.
6*n**2
What is the derivative of 1 - 6*x**4 + 12*x**4 + 7 + 9*x**4 wrt x?
60*x**3
Let c = 9 + 11. Let f = c + -11. What is the second derivative of 0*n**5 + 11*n - 3*n**5 - f*n wrt n?
-60*n**3
Let w(u) = u - 4. Let v be w(5). Let i(x) = -7*x**5 + 2*x**2 + 4. Let m(t) = t**2 - 1. Let z(a) = v*i(a) + 4*m(a). What is the third derivative of z(c) wrt c?
-420*c**2
Let v(k) = -k. Let u(m) be the first derivative of m**2/2 + 6*m + 6. Let y(a) = -u(a) - 5*v(a). Differentiate y(i) with respect to i.
4
Let g(u) be the second derivative of 3*u**2 - 1/10*u**6 - 4*u + 0 + 0*u**5 + 0*u**3 + 0*u**4. Find the first derivative of g(s) wrt s.
-12*s**3
Let h(x) be the second derivative of 0*x**3 - 9/20*x**5 + 0*x**4 + 0 + 3*x - 4*x**2. What is the derivative of h(t) wrt t?
-27*t**2
Let k(d) = d**2 + 6*d + 3. Let y be k(-5). Let b = y + 5. What is the third derivative of 6*s - 6*s - 3*s**3 - b*s**2 wrt s?
-18
Let t = 14 + -10. Let p(l) = -l**2 + 5*l - 1. Let c be p(t). Find the third derivative of 2*z**5 + z**2 - 3*z**5 - c*z**2 - 2*z**2 wrt z.
-60*z**2
Let c(r) be the second derivative of -r**10/2520 + r**6/120 + r**3/2 + 3*r. Let j(o) be the second derivative of c(o). Find the third derivative of j(s) wrt s.
-240*s**3
Let g(j) = -j. Let c be g(7). Let f = 10 + c. Find the first derivative of 2*z**2 - 1 - 3*z**2 + f wrt z.
-2*z
Let r(d) = d - 1. Let s(z) = -z**2 + 3*z - 1. Let k be s(2). Let t(u) = -2*u**3 + 5*u - 4. Let w(v) = k*t(v) - 5*r(v). What is the derivative of w(j) wrt j?
-6*j**2
Find the second derivative of 1 + 172*k - 178*k + 2 + 40*k**4 wrt k.
480*k**2
Let f(n) be the second derivative of -17*n**4/12 - 21*n**2/2 - 22*n. Find the first derivative of f(r) wrt r.
-34*r
Let s(b) = 2*b - 1. Let q be s(2). Suppose -q*h + 12 = -0*h. What is the second derivative of -l**3 + l + l**3 - l**h wrt l?
-12*l**2
What is the first derivative of 14*d**3 - 33 + 0 + 23 - 23 wrt d?
42*d**2
Let y(s) be the second derivative of -3/20*s**5 + 0*s**2 - s + 0*s**3 + 0 - 1/12*s**4. What is the third derivative of y(k) wrt k?
-18
Let n = -11 + 14. Let q(t) be the first derivative of 2/3*t**n + 0*t**2 + 0*t**4 + 2 + 0*t + 3/5*t**5. What is the third derivative of q(x) wrt x?
72*x
Let c(d) be the second derivative of 1/4*d**4 + d - 2*d**2 + 0*d**3 + 0. What is the first derivative of c(y) wrt y?
6*y
Let i be -3*-2*(-2)/(-4). Suppose u - 4*t + 20 = i*u, t = -3*u + 25. What is the third derivative of 2*k**2 - 11 + u - 3*k**5 + 3 wrt k?
-180*k**2
Let o(u) = -13*u**2 + 6*u - 3. Let f(j) = -14*j**2 + 7*j - 4. Let s(i) = 6*f(i) - 7*o(i). Differentiate s(x) with respect to x.
14*x
Let l(n) be the second derivative of 0 + 1/2*n**3 - 2*n - n**2. Differentiate l(o) with respect to o.
3
Let b(k) = 36*k - 22. Let s(l) = 71*l - 45. Let a(f) = -5*b(f) + 3*s(f). Differentiate a(r) wrt r.
33
Differentiate -4
|
{
"pile_set_name": "DM Mathematics"
}
|
8*t**2 + 4*t**3 - 2*t**3 - 5*t**3 + 2*t + 4*t**4 + t**3 - 1 to n*t**2 + p*t + j + f*t**4 + x*t**3 and give x.
-2
Express (0 - 2*y + 0)*(6 - 2 + 4) + 2*y - 2*y + y + (-2*y + 1 - 1)*(3 - 1 - 3) + 0 + 2*y + 0 + 2*y + 4 - 4 - y - 3*y + 5*y in the form s + u*y and give u.
-8
Express -j**4 - 3 - 9*j**2 + 0 + 4*j**2 - 13*j**4 + 4*j**2 - 2*j**3 + 2*j as t*j**3 + a + q*j + v*j**2 + z*j**4 and give a.
-3
Express 6*q**3 - 2296*q + 2301*q + 2 + q**4 - 3*q**3 in the form t*q**2 + a*q**3 + l + z*q + k*q**4 and give t.
0
Express (-m + 2*m - m**2 + 0*m**2)*(102 - 17 - 19)*(1 + 0 + 1) in the form s + f*m**2 + r*m and give r.
132
Express (-8*c**3 + 56*c**4 - 11*c**3 + 37*c**3 - 16*c**3)*(-12 - 6 + 13) in the form n + m*c**2 + i*c**4 + s*c + t*c**3 and give t.
-10
Rearrange 0*y + 7*y**3 - 2*y**3 + 4027*y**2 + 0*y - 4 + 2*y**4 - 4023*y**2 to v*y**3 + x + w*y + i*y**4 + h*y**2 and give x.
-4
Rearrange 23 - 19 - 4*x**3 - 243*x**2 + x + 242*x**2 to d*x**2 + b*x + u + w*x**3 and give u.
4
Rearrange (3*h + 42*h + 16*h)*(-2 + 1 - 3) to the form d + m*h and give m.
-244
Express 38*v**2 - 76*v**2 + 29*v**2 + 16 as s + d*v + u*v**2 and give s.
16
Express (s**3 - 2*s**3 + 0*s**3)*(s + 2 - 2) + (0 - 12*s**3 - 4 + 3*s + 13*s**3)*(3*s - 2 + 2) as f*s + n + l*s**2 + m*s**4 + u*s**3 and give u.
0
Rearrange (0*b + b + 2*b)*(1 - 2 + 3)*(13 + 0 + 3)*(0*b + 2*b - b + (-4*b - 2 + 2)*(-4 + 7 - 1)) to i + t*b**2 + p*b and give t.
-672
Express v**3 + 588*v**2 - 576*v**2 + 2 - v - 19*v**4 + 21*v**4 in the form l + c*v + y*v**3 + n*v**4 + x*v**2 and give y.
1
Rearrange -1262*l**2 - 570*l**2 + 316*l**2 to s*l + w*l**2 + x and give s.
0
Rearrange -838*q + 425*q + 16 + 422*q to the form p + c*q and give p.
16
Rearrange 3 + 6 + 5 - 14 - 559*j to g*j + s and give g.
-559
Express -111*d + 2 + 7 + 400*d - 9 in the form z*d + i and give z.
289
Rearrange -3*u**2 + 2*u**2 - 6*u**2 + (u - 5*u + 3*u)*(-2 - 3*u + 2) + 6 + 4*u**2 - 3 - 2*u**2 to the form m*u + h + r*u**2 and give r.
-2
Express 2*w + 81*w**3 + w**2 + 6*w**2 - 107 - 7*w**2 + 109 in the form c*w + o + r*w**3 + n*w**2 and give r.
81
Rearrange 77*w**4 - 10*w**3 + w - 80*w**4 + 26*w**3 + w**2 to i*w + h*w**2 + k*w**4 + f*w**3 + q and give k.
-3
Express 2 + 0*o - o - 3 + 7*o + o - o + (1 - 1 - 8*o)*(1 + 2 - 1) as b + t*o and give t.
-10
Express (-195*a - 118*a + 67*a)*(1 - 7 + 2) in the form f*a + s and give f.
984
Express (-1 + 1 - 3*c**3)*(11*c - 9 + 9) - 3 - 4 + 2 - c**4 in the form u*c**3 + y*c**4 + k*c + a*c**2 + t and give t.
-5
Express 3 + 133*h**2 - 136*h**2 + 2*h + 2*h**4 - 5 + h in the form l + v*h + u*h**2 + p*h**3 + q*h**4 and give l.
-2
Express (-2*y**4 + 5*y - 5*y)*((0 - 8 - 4)*(4 - 5 + 2) + (0 - 11 + 0)*((0 - 5 + 3)*(1 + 1 + 0) - 1 + 2 + 0)) as r*y + l*y**2 + w*y**4 + q + m*y**3 and give q.
0
Express (67 - 20*k - 67)*(2*k**3 - 4*k**3 + k - k**2 + k**3) as d*k + l*k**4 + v*k**2 + q + j*k**3 and give v.
-20
Express (-27 + q + 27)*((-1 - 1 + 3)*(1 - 2 - 1) + 2 + 2 - 1)*(5 - 1 - 2)*(7*q - 4*q - 4*q) as m*q + v*q**2 + k and give v.
-2
Rearrange (-143*f + 55*f + 59*f)*(-2 + 4 + 6) to the form g*f + z and give g.
-232
Express (-2*n + 0*n + n)*((-5*n + 5*n - n)*(3 + 2 - 1) + (3 + n - 3)*(-6 - 9 - 10) + 0 + n + 0) as p + k*n**2 + d*n and give k.
28
Rearrange 66*s - 58*s - 9*s + 472*s**2 to v + u*s**2 + k*s and give k.
-1
Express 7 + 77*a + 54*a - 102*a in the form s*a + w and give w.
7
Express -546*n**2 + 171*n**2 - 2 + 2 - 376*n**2 in the form i*n + m*n**2 + j and give m.
-751
Express -6*x**2 + 40 - 40 + 6*x**2 + 13*x - 65*x**3 in the form n*x + y*x**3 + c + u*x**2 and give y.
-65
Express -5*n + 66 + 164 + 3*n + n + 0*n as i + s*n and give i.
230
Rearrange (479634*s + 2 + 0 - 479681*s)*(4 - 5 + 0) to the form z + b*s and give b.
47
Express u - 16*u + 1 + 0*u + (2 - 2 + 3*u)*(0 + 0 + 1) + (-2 + 0 + 1)*(-2 + 2 - u) in the form t*u + a and give a.
1
Express (53 - 53 - 4*f)*(4*f + 5 - 5 - 8 - 4*f + 8 + (4 - 3 - 2)*(3*f - 2*f + 0*f) - 3*f - f + 3*f) as u + x*f + n*f**2 and give n.
8
Rearrange (-11*y**2 + 144 - 144)*(-5 + 5 + 5*y**2) + 2*y + 2*y**4 - 2*y to w*y + s + z*y**2 + u*y**3 + q*y**4 and give w.
0
Rearrange -842*l - 13 + 4*l**2 + 842*l + (-2*l**2 + l**2 - 2*l**2)*(-2 - 2 + 7) to the form d + z*l**2 + y*l and give z.
-5
Rearrange (-b - b + 0*b)*(0 - 3 + 2)*(0 + 0 - 2)*(-18 + 4 - 22)*(0 + 2 + 0) to the form q + l*b and give l.
288
Express (2*u**4 - u**4 + u**4)*(-231 - 120 - 9) as r*u + z*u**4 + h + x*u**2 + d*u**3 and give z.
-720
Express (9 - 3 + 6)*(-1 - 63*j - 3 + 384*j + 5) as b*j + h and give h.
12
Rearrange -2 + 47*v + 22*v**2 - 15*v**2 - 8*v**2 - v**3 to the form i + c*v**2 + n*v**3 + l*v and give l.
47
Rearrange (5 - 2 - 3 + 1)*(9*f**4 - 13*f**4 - 19*f**4) to u + j*f**3 + d*f**2 + h*f + k*f**4 and give u.
0
Rearrange 130*n - 210*n + 118*n to x*n + h and give x.
38
Rearrange 22*b**4 - 2*b - 28*b**4 - 106*b**2 - 14*b - b**3 + 108*b**2 to the form i*b**4 + w + j*b + l*b**2 + m*b**3 and give l.
2
Express (-3 - 1 + 3)*(u**4 - 5*u**4 + 0*u**4) - 6*u**4 + 3 - 1 + u**4 as v*u**3 + n*u**4 + c*u**2 + g*u + d and give d.
2
Rearrange (4*s**3 - s**3 - 2*s**3 + 1)*(200*s - 8*s + 201*s) to the form i*s**2 + f*s + r + p*s**4 + x*s**3 and give f.
393
Express -25*k + 9*k + 4*k - k**2 + 7*k as f*k + m*k**2 + s and give f.
-5
Express -3*w + 2*w + 0*w + (21*w - 10*w - 8*w)*(12 - 7 - 7) as x*w + h and give x.
-7
Express 5*q**2 - 30*q + 28*q + 10*q**2 in the form x*q**2 + z + g*q and give z.
0
Express (d + d + 0*d)*(-d + 3 - 10 + 0)*(-7*d**2 - 4*d**2 - 5*d**2) in the form l*d + g + p*d**3 + y*d**2 + i*d**4 and give i.
32
Express (0*s + 2*s - s)*(0*s**3 - 5*s**3 + 4*s**3) + 221*s**4 + 274*s**4 - 408*s**4 in the form y*s**2 + p*s**3 + z*s**4 + c*s + n and give z.
86
Express 32*z**3 - 7336 + 7336 + 7*z + 8*z as u*z + j*z**3 + o*z**2 + d and give u.
15
Express (2*g**2 - 7*g**2 + g**2)*(2*g - 104 - 6*g + 60 + 81) in the form s*g**3 + j + n*g + z*g**2 and give z.
-148
Express -1144*j**2 + 35*j + 1146*j**2 + 64*j in the form a + i*j + b*j**2 and give i.
99
Express -17*k + 10*k - 21*k - 5*k - 24*k as x*k + a and give x.
-57
Rearrange -175 + 327 - 159 + 3*q to s*q + l and give s.
3
Rearrange (-2 - 1 + 2)*(s + 5*s - s)*(1 - 1 - 2) - 20 + 20 + 8*s to w + o*s and give o.
18
Rearrange -12*z**2 + 8 + 3*z + 27*z**2 - 14*z**2 to l + g*z**2 + k*z and give l.
8
Express -14*s**2 - 6*s**2 + 9*s**2 + (16*s + 2*s + 17*s)*(4*s - 3*s + 0*s) + 2*s**2 - 3*s**2 + 0*s**2 as t*s + x + q*s**2 and give q.
23
Rearrange y**3 + 2 + 12*y - 26*y + y**3 + 0*y**3 + 5*y**2 + 19*y to i*y**3 + d + s*y + g*y**2 and give g.
5
Express (99 - 187 + 92)*(3 - 3 - 3*h**2) + 3*h**2 + 0*h**2 - h**2 + 5*h**2 - 2*h**2 - 2*h**2 in the form u*h**2 + x*h + t and give u.
-9
Rearrange -1743*l**2 + l + 1742*l**2 + l**4 + 74*l**4 to k*l**4 + d*l + g + c*l**3 + n*l**2 and give d.
1
Express -6*l**2 - 8*l**2 + 40*l + 19*l**2 + 0*l**2 + 5 - 2*l**2 in the form s*l + i + j*l**2 and give s.
40
Express (-17 - 15*g + 19 + 3*g)*(1 - 1 - 2*g)*(-2*g + 4*g + 0*g) in the form q*g + p + n*g**2 + i*g**3 and give i.
48
Express 4*s + 1 - 25*s + 5*s + 10*s + 24*s**2 + 3*s as a + q*s**2 + f*s and give a.
1
Express 331*z + 319 - 319 in the form i + c*z and give c.
331
Express -137 - 7 - 2*n + 5*n - 2*n**2 - 4*n + 4 as u + q*n + b*n**2 and give q.
-1
Rearrange 0*q + 0*q - 3*q**2 + (1 - 1 + 2*q)*(-2*q + 4*q - q) + 28*q**2 + 636*q - 636*q to g + h*q + t*q**2 and give t.
27
Rearrange -44 + 5 + 26 + 4*l**3 to a*l + u*l**3 + q + h*l**2 and give q.
-13
Rearrange 11*h + 1247*h + 2001*h to the form y + a*h and give a.
3259
Express ((-2*q + 0*q + 0*q)*(-3*q + 2*q + 3*q) - 2*q + 2*q + 2*q**2 + 188*q - 188*q + 10*q**2)*(-2*q - 5*q - 2*q + 4*q) as t + i*q**2 + j*q + p*q**3 and give p.
-40
Rearrange -2*h**2 + h**2 + 11*h**2 + (2 - 2*h - 2)*(71*h - 7*h - 2 + 22*h) to i + a*h**2 + g*h and give g.
4
Express 77*k**2 + 67*k**2 - 5 + 77*k**2 - 235*k**2 in the form d + s*k + x*k**2 and give s.
0
Express -137*o**2 + 155*o**2 - 3*o - 8 + 6 + 0 as x*o**2 + b*o + t and give t.
-2
Rearrange -39*f + 75*f + 38*f + 63*f to the form o + a*f and give a.
137
Express 79*s**3 - 80*s**3 + 0*s**4 + 16*s**2 + s + s**4 as u*s**3 + t*s + c*s**2 + v*s**4 + l and give u.
-1
Rearrange (3 - 6 + 1)*(-9*t**3 + 8*t**3 + 2 - 158*t - 8*t) to the form b*t + z*t**3 + w +
|
{
"pile_set_name": "DM Mathematics"
}
|
h term of 76, 160, 248, 340?
2*b**2 + 78*b - 4
What is the t'th term of -22, 22, 138, 362, 730, 1278?
6*t**3 + 2*t - 30
What is the j'th term of -29, -38, -47?
-9*j - 20
What is the k'th term of 15, 15, 13, 9, 3, -5?
-k**2 + 3*k + 13
What is the w'th term of -6, -20, -54, -114, -206, -336, -510, -734?
-w**3 - 4*w**2 + 5*w - 6
What is the j'th term of -56, -101, -146, -191, -236, -281?
-45*j - 11
What is the p'th term of -2604, -2606, -2608, -2610, -2612?
-2*p - 2602
What is the q'th term of -37, -76, -113, -148?
q**2 - 42*q + 4
What is the p'th term of -81, -80, -79?
p - 82
What is the y'th term of -6941, -6945, -6951, -6959, -6969, -6981, -6995?
-y**2 - y - 6939
What is the m'th term of 5, 32, 75, 134, 209?
8*m**2 + 3*m - 6
What is the u'th term of 379, 380, 381?
u + 378
What is the l'th term of -6, 7, 32, 75, 142, 239, 372?
l**3 + 6*l - 13
What is the v'th term of 35, 63, 149, 323, 615, 1055, 1673?
5*v**3 - v**2 - 4*v + 35
What is the j'th term of 13, 1, -19, -47, -83, -127, -179?
-4*j**2 + 17
What is the j'th term of 319, 640, 965, 1294, 1627, 1964?
2*j**2 + 315*j + 2
What is the p'th term of -17, -12, 3, 34, 87, 168, 283, 438?
p**3 - p**2 + p - 18
What is the x'th term of -2140, -2126, -2088, -2014, -1892?
2*x**3 - 2142
What is the i'th term of 13, 31, 55, 85, 121, 163?
3*i**2 + 9*i + 1
What is the f'th term of 32, 30, 14, -22, -84, -178, -310?
-f**3 - f**2 + 8*f + 26
What is the k'th term of 235, 471, 717, 979, 1263, 1575, 1921, 2307?
k**3 - k**2 + 232*k + 3
What is the d'th term of 553, 552, 551, 550, 549?
-d + 554
What is the r'th term of 964, 1913, 2850, 3769, 4664, 5529, 6358, 7145?
-r**3 + 956*r + 9
What is the s'th term of 78, 37, -2, -39, -74, -107?
s**2 - 44*s + 121
What is the b'th term of 66, 178, 364, 624, 958, 1366?
37*b**2 + b + 28
What is the w'th term of -300, -310, -324, -342?
-2*w**2 - 4*w - 294
What is the a'th term of -80, -67, -52, -35?
a**2 + 10*a - 91
What is the b'th term of -3, 4, 11?
7*b - 10
What is the g'th term of -61, -117, -171, -223, -273, -321, -367?
g**2 - 59*g - 3
What is the a'th term of -816, -1630, -2444, -3258, -4072, -4886?
-814*a - 2
What is the p'th term of 17, 33, 57, 89?
4*p**2 + 4*p + 9
What is the y'th term of -5390, -21551, -48486, -86195, -134678, -193935?
-5387*y**2 - 3
What is the u'th term of 191, 717, 1579, 2771, 4287?
-u**3 + 174*u**2 + 11*u + 7
What is the r'th term of 9, 34, 67, 102, 133, 154, 159, 142?
-r**3 + 10*r**2 + 2*r - 2
What is the n'th term of 18, 49, 102, 177, 274, 393, 534?
11*n**2 - 2*n + 9
What is the b'th term of 35, 82, 141, 218, 319, 450, 617?
b**3 + 40*b - 6
What is the g'th term of 7112, 7113, 7114, 7115, 7116, 7117?
g + 7111
What is the l'th term of 3, -1, -9, -21, -37?
-2*l**2 + 2*l + 3
What is the v'th term of -30, -18, 2, 30, 66?
4*v**2 - 34
What is the r'th term of -110, -43, 60, 193, 350?
-r**3 + 24*r**2 + 2*r - 135
What is the w'th term of 5817, 11637, 17457?
5820*w - 3
What is the x'th term of -173, -346, -519, -692, -865, -1038?
-173*x
What is the s'th term of 20, 15, -4, -43, -108, -205, -340?
-s**3 - s**2 + 5*s + 17
What is the v'th term of -108, -192, -274, -354, -432, -508?
v**2 - 87*v - 22
What is the i'th term of 91, 90, 89, 88, 87?
-i + 92
What is the x'th term of -678, -679, -682, -687, -694?
-x**2 + 2*x - 679
What is the k'th term of -51, -104, -155, -204, -251?
k**2 - 56*k + 4
What is the j'th term of -378, -757, -1136?
-379*j + 1
What is the o'th term of -286, -295, -316, -355, -418, -511, -640, -811?
-o**3 - 2*o - 283
What is the s'th term of -47, -45, -43, -41, -39?
2*s - 49
What is the j'th term of -178, -350, -524, -700, -878, -1058?
-j**2 - 169*j - 8
What is the w'th term of -15, -34, -59, -90?
-3*w**2 - 10*w - 2
What is the f'th term of -185, -375, -565, -755?
-190*f + 5
What is the t'th term of -226, -230, -238, -250, -266, -286, -310?
-2*t**2 + 2*t - 226
What is the s'th term of -92, -171, -250, -329, -408, -487?
-79*s - 13
What is the u'th term of -398, -409, -420, -431, -442?
-11*u - 387
What is the b'th term of -231, -226, -209, -174, -115?
b**3 - 2*b - 230
What is the m'th term of 57, 76, 95, 114?
19*m + 38
What is the d'th term of -151, -219, -285, -349, -411?
d**2 - 71*d - 81
What is the m'th term of -45, -89, -133, -177, -221, -265?
-44*m - 1
What is the q'th term of -4818, -9632, -14444, -19254?
q**2 - 4817*q - 2
What is the x'th term of -72, -80, -86, -90, -92, -92, -90?
x**2 - 11*x - 62
What is the s'th term of 77, 156, 235, 314, 393?
79*s - 2
What is the w'th term of -1973, -1970, -1969, -1970, -1973, -1978, -1985?
-w**2 + 6*w - 1978
What is the p'th term of -27, -7, 27, 75, 137, 213, 303?
7*p**2 - p - 33
What is the x'th term of -2551, -2553, -2557, -2563?
-x**2 + x - 2551
What is the m'th term of -56, -63, -70, -77, -84?
-7*m - 49
What is the t'th term of 2, 34, 108, 230, 406?
t**3 + 15*t**2 - 20*t + 6
What is the p'th term of -4, -41, -156, -391, -788?
-7*p**3 + 3*p**2 + 3*p - 3
What is the f'th term of -1317, -1315, -1311, -1305, -1297, -1287?
f**2 - f - 1317
What is the i'th term of 2614, 5231, 7848, 10465, 13082, 15699?
2617*i - 3
What is the c'th term of -603, -601, -599, -597, -595?
2*c - 605
What is the z'th term of 3, -29, -121, -303, -605, -1057, -1689?
-5*z**3 + 3*z + 5
What is the m'th term of -114, -95, -56, 9, 106, 241, 420, 649?
m**3 + 4*m**2 - 119
What is the k'th term of 20, 138, 326, 578, 888?
-k**3 + 41*k**2 + 2*k - 22
What is the d'th term of -232, -228, -222, -214, -204, -192?
d**2 + d - 234
What is the s'th term of -43, -15, 71, 245, 537, 977?
5*s**3 - s**2 - 4*s - 43
What is the g'th term of -1752, -1752, -1744, -1722, -1680?
g**3 - 2*g**2 - g - 1750
What is the s'th term of 990, 1978, 2962, 3942, 4918, 5890?
-2*s**2 + 994*s - 2
What is the c'th term of -161, -322, -483?
-161*c
What is the s'th term of -1663, -1669, -1679, -1693, -1711?
-2*s**2 - 1661
What is the f'th term of -1, 22, 79, 188, 367, 634, 1007, 1504?
3*f**3 - f**2 + 5*f - 8
What is the p'th term of -328, -647, -964, -1279?
p**2 - 322*p - 7
What is the r'th term of 741, 740, 739, 738, 737, 736?
-r + 742
What is the f'th term of -305, -632, -977, -1340, -1721?
-9*f**2 - 300*f + 4
What is the p'th term of -252, -249, -244, -237, -228?
p**2 - 253
What is the m'th term of -81, -88, -95, -102, -109?
-7*m - 74
What is the c'th term of -162, -163, -164, -165, -166?
-c - 161
What is the a'th term of -54, -34, -14, 6, 26, 46?
20*a - 74
What is the x'th term of 12, 45, 100, 177?
11*x**2 + 1
What is the d'th term of -5, -9, -13, -17, -21, -25?
-4*d - 1
What is the y'th term of 23, 76, 163, 284, 439, 628?
17*y**2 + 2*y + 4
What is the t'th term of 31, -29, -207, -563, -1157, -2049, -3299, -4967?
-10*t**3 + t**2 + 7*t + 33
What is the k'th term of -13, -8, 5, 32, 79, 152, 257?
k**3 - 2*k**2 + 4*k - 16
What is the x'th term of -770, -768, -766?
2*x - 772
What is the i'th term of -29, -52, -75, -98, -121, -144?
-23*i - 6
What is the q'th term of -19, 6, 47, 104, 177, 266, 371?
8*q**2 + q - 28
What is the o'th term of 17, 164, 415, 776, 1253, 1852, 2579?
o**3 + 46*o**2 + 2*o - 32
What is the k'th term of -81, 69, 219, 369, 519?
150*k - 231
What is the b'th term of -3, -47, -113, -195, -287, -383?
b**3 - 17*b**2 + 13
What is the j'th term of -75, -105, -149, -213, -303, -425, -585?
-j**3 - j**2 - 20*j - 53
What is the r'th term of -57, -58, -51, -30, 11?
r**3 - 2*r**2 - 2*r - 54
What is the c'th term of 20, 23, 26, 29, 32, 35?
3*c + 17
What is the r'th term of -232, -255, -278, -301, -324, -347?
-23*r - 209
What is the q'th term of 1810, 1820, 1834, 1852, 1874?
2*q**2 + 4*q + 1804
What is the y'th term of -97, -184, -271, -358?
-87*y - 10
What is the l'th term of 64, 133, 198, 259, 316, 369, 418?
-2*l**2 + 75*l - 9
What is the m'th term of -6, -7, -18, -45, -94, -171?
-m**3 + m**2 + 3*m - 9
What is the r'th term of -135, -138, -141, -144?
-3*r - 132
What is the j'th term of 18, 51, 104, 177?
10*j**2 + 3*j + 5
What is the t'th term of -15, -24, -39, -60, -87, -120?
-3*t**2 - 12
What is the s'th term of -316, -315, -314?
s - 317
What is the j'th term of 79, 215, 399, 625, 887, 1179, 1495?
-j**3 + 30*j**2 + 53*j - 3
What is the s'th term of 81, 68, 47, 18, -19?
-4*s**2 - s + 86
What is the p'th term of 798, 1600, 2402?
802*p - 4
What is the y'th term of 75,
|
{
"pile_set_name": "DM Mathematics"
}
|
t of t?
8
Suppose -4*c + n + 59 = 0, -n + 24 + 52 = 5*c. Suppose -728 = -c*k + 14*k. What is the tens digit of k?
2
Let q be -4 + 3 + (1 - -13). Let s be q - (0 - 6/(-2)). Suppose -203 = -4*b - 5*p, 0*p - 2*p - s = 0. What is the units digit of b?
7
Suppose -5*n + 2*h + 3 = -39, 5*n = -5*h + 70. Suppose i - g = n, 3*g - 10 = -22. What is the units digit of i?
6
Suppose -80*j + 524812 + 247028 = 0. What is the units digit of j?
8
Let g = 363 + -358. Suppose 749 = t - a, -g*a - 1012 - 489 = -2*t. What is the hundreds digit of t?
7
Let y be (-16)/88 + (-178)/(-11) + -2. Suppose y*n = 15*n - 3. Suppose -o + 232 = 2*z - 6*o, -n*o + 642 = 5*z. What is the tens digit of z?
2
Suppose 0 = -10*y + 54317 + 84621 + 6242. What is the hundreds digit of y?
5
Suppose 5*z = 5*w - 8800, -1762 = -6*w + 5*w - z. Suppose -y - w = -3*p, 0 = -p - 4*y + 5*y + 589. What is the tens digit of p?
8
What is the units digit of 48814/18 + -1 + 210/189?
2
Let p be (-1)/((4/(-10))/((-100)/125)). What is the units digit of (-24760)/(-48) + (-2)/24*p?
6
Let o = 64531 - 34250. What is the hundreds digit of o?
2
Let o(s) = -2*s**2 + 16*s - 13. Let p be o(7). Suppose -q + 3*w = -1, -w - p = -2. Suppose -2*j - 2 = 0, r + 0*r + q*j - 48 = 0. What is the tens digit of r?
5
Let b = -55 - -58. Suppose -3*a + 4*r - 195 = 0, 0 = -b*a + r - 2*r - 180. What is the units digit of (-2 + (-1 - -2))*a?
1
Let i(q) = -33*q + 286. Let l be i(14). Let x = l - -681. What is the units digit of x?
5
Let m(v) = -942*v + 5433. What is the tens digit of m(-53)?
5
Suppose 0 = 44*z + 935 - 3795. What is the tens digit of z?
6
What is the tens digit of (-1 + (-603)/(-27))/((-1)/(-54))?
5
Let h = -894 - -2541. Suppose -10*a + h = -1553. What is the hundreds digit of a?
3
Let r(s) = 53*s - 1. Let d be r(1). Let g = d - 48. What is the tens digit of g - 5/((-25)/835)?
7
Let i = -5 - 5. Let m be 56/26 + i/65. Suppose -m*c - k = -6, 7*c - 3*c + 5*k = 0. What is the units digit of c?
5
Suppose -174662 = -3*x + 5*q, 29*x + 2*q = 31*x - 116448. What is the units digit of x?
9
What is the tens digit of (-1)/((-6)/48100*16034 - (-3 - -1))?
2
Let d(v) = -34*v**3 - 7*v**2 + 14*v - 10. What is the hundreds digit of d(-3)?
8
Let a(u) = 534*u**2 + 53*u + 181. What is the tens digit of a(-3)?
2
Suppose -46861*w = -46875*w + 411222. What is the thousands digit of w?
9
Let j(y) = 333*y + 107. Let v be j(10). Suppose 5*a + 4685 = 5*q, 4*a - v = -4*q + 311. What is the units digit of q?
7
Let w be (-1374)/(-4)*(3 - (-4 - -5)). Suppose -m + 3*m - 3*q = w, -4*q = -m + 346. What is the tens digit of m?
4
Let b = 185 + -130. Let n = -51 + b. Suppose -u - 3*w + 19 + 0 = 0, n*u + 2*w = 86. What is the tens digit of u?
2
Let b(k) = 504*k + 20. What is the thousands digit of b(7)?
3
Let l = 103 + -100. Let m(d) = 44*d - 9. What is the tens digit of m(l)?
2
Let v(w) = 7*w**2 + 4*w + 2. Let z be v(-2). Let r(i) = 3*i**2 + 5*i - 137. What is the tens digit of r(z)?
2
Let r(q) be the third derivative of -q**6/60 + 31*q**5/30 - 17*q**4/12 + 7*q**3/6 - 5*q**2 - 3*q. What is the hundreds digit of r(30)?
7
Suppose 0 = 87*s - 575613 - 3671118. What is the thousands digit of s?
8
Suppose 95*n = 102*n - 12866. What is the units digit of n?
8
Suppose -80370 = 5*h + v - 275536, -4*h + 156134 = v. What is the ten thousands digit of h?
3
Suppose -41*l - 407725 + 158299 = -68*l. What is the hundreds digit of l?
2
Let l(n) = -n**3 + 25*n**2 - n + 1861. What is the tens digit of l(0)?
6
Let g(n) = 75*n**3 + 5*n**2 - 9*n + 20. Let s be g(4). Suppose 841*y = 845*y - s. What is the hundreds digit of y?
2
What is the tens digit of 6 - -4 - (-19 + 6 - 15882)?
0
Let c(n) = 16*n**2 + 13*n - 34. What is the thousands digit of c(-14)?
2
Suppose -42*a = -20*a - 48642. What is the hundreds digit of a?
2
Suppose 11 = 2*r + 5. Suppose -4*p = i - 12, -4*p - r*i = 2*i - 28. Suppose -4*f + p*f = -100. What is the units digit of f?
0
Let a be 6/4*(-200)/(-45)*-3. Let u be a/(-6) - 4/(0 + 12). Suppose -u*y = 3*p - 301 - 140, -4*y = -4*p - 596. What is the tens digit of y?
4
What is the tens digit of (-6)/7*(-128 + -1125)?
7
Let q = 1308 - -670. What is the tens digit of q?
7
Let n = 62037 - 14151. What is the hundreds digit of n?
8
Let h(g) = 6*g**3 + 31*g**2 - 242*g + 55. What is the hundreds digit of h(10)?
7
Let s(w) = -74*w + 8. Let x be s(2). Let t = -75 - x. What is the tens digit of (t/4)/(15/120)?
3
Suppose 0 = 213*j - 217*j. Suppose 19 + 829 = 3*b + h, -5*h + 10 = j. What is the units digit of b?
2
Suppose 20*r - 12*r + 24 = 0. What is the tens digit of ((-397)/(-4))/(r/(-21 - 3))?
9
Let k = -710 - -1006. Let n = k - 417. Let w = 154 - n. What is the hundreds digit of w?
2
Let v(g) = 15*g**2 + 208*g - 516. What is the hundreds digit of v(-64)?
6
Suppose -2*z - 5*p = -6, 4*p = -3*z + 3 - 1. What is the tens digit of (-6 - 0)/(15/2140*z)?
2
Suppose -132*g + 92415 = -573525. What is the units digit of g?
5
What is the units digit of ((-9)/(-24)*(-6)/9)/((-9)/771048)?
8
Let b be 34/255 + (-56)/(-30). What is the units digit of (-1)/3 - ((-3426)/18 + b)?
8
Suppose -3*i + 31773 + 1914 = 3*m, m + 4 = 0. What is the units digit of i?
3
Let j = -174 - -1094. Let r = j - 656. What is the tens digit of (-9)/(-21) - r/(-21)?
1
Let a(q) = q**3 + 8*q**2 - 2*q - 12. Let y be a(-8). Let x(f) = 84*f - 66. Let o(t) = -17*t + 13. Let i(d) = -21*o(d) - 4*x(d). What is the units digit of i(y)?
5
Suppose 0 = -4*d - 4, -10673 = 5*o - 2*d - 41585. What is the thousands digit of o?
6
Suppose -71*l + 69*l = -6. Suppose -8*j = -7*j - l. What is the tens digit of j/(-2 + 723/357)?
1
Let p be (-78)/(-30) - (-6)/(-10). Suppose -322 = -p*k + 4*j, -k - 5*j + 167 = -10*j. What is the units digit of k?
7
Let t be 92/(13/(585/(-10))). What is the units digit of ((-88)/22)/(2/t)?
8
Let j(o) = o**2 - 53*o - 2. Let s(d) = -d**3 + 10*d**2 - 17*d - 3. Let k be s(8). What is the hundreds digit of j(k)?
7
Let c be 149/5 - 2/(-10). Suppose 2*n + 14 = c. Suppose 10*t - 74 = n*t. What is the units digit of t?
7
Suppose -5*r + 4387 = -1688. What is the units digit of r?
5
Suppose -7*m + 4*c = -2*m + 351, 4*m - 2*c = -276. Let j = 144 - m. What is the hundreds digit of j?
2
Let f(p) = -p**2 - 98*p - 119. What is the tens digit of f(-31)?
5
Suppose 77*k = 85*k - 32. Suppose 0 = -5*u + 5, -3*m + k*u - 879 = -5147. What is the hundreds digit of m?
4
Let b(s) = 151*s**2 - 7*s. Let o be b(1). Let w = o - -568. What is the units digit of w?
2
Let x(u) = 32*u**3 + 7*u - 8. Let b be x(2). Let w = b + -180. What is the tens digit of w?
8
Suppose -118 = -3*w + 26. Let h be ((-2760)/(-210))/(2/(-7)). Let b = h + w. What is the units digit of b?
2
Let c be -1 + (5 - 12) + 12669. Suppose c + 21626 = 33*o. What is the thousands digit of o?
1
Let q = 70608 - 25060. What is the thousands digit of q?
5
Suppose 4*a + 60 = a. Let q(p) = 30*p - 488. Let x be q(20). Let d = x + a. What is the units digit of d?
2
Let f = 25663 - 11816. What is the hundreds digit of f?
8
Let u(z) = -4*z**3 - 19*z**2 + 6*z + 5. Suppose -3*y + 4 = 3*m + 13, 0 = -5*m + 3*y - 55. What is the units digit of u(m)?
9
Let d(z) be the third derivative of -4*z**2 + 0 - 7/24*z**4 - 3/2*z**3 - 1/60*z**5 + 0*z. What is the units digit of d(-5)?
1
Let v(i) = i**2 - 136*i - 9378. What is the units digit of v(-85)?
7
Let w be (-3)/24 - ((-52995)/24 - 4). What is the tens digit of (w/42)/(2/15)?
9
Let z = -3611 - -4009. What is the tens digit of z?
9
Let z be (-1)/2 + (-286)/(-44). Suppose w - 2*c = 0, -4*w + 4*c + c = -z. Suppose w*j + 723 = 1787. What is the tens digit of j?
6
Suppose -38*p - 1650 = -40*p. Suppose 6*z - 9*z + p = 0. What is the units digit of z?
5
Suppose 204 = 11*x - 13*x. What is the tens digit of (8 - 17)/(2*3/x)?
5
Let r(a) = 5*a**2 - 3*a + 1. Let s = 85 + -89. What is the units digit of r(s)?
3
Let s be (-18)/9 - (-1 + (-9)/3). Let y be (-6)/8*(-20)/(-1). What is the units digit of y/(s/((-380)/15))?
0
Suppose -5*q + 148 + 1327 = 0. Let o = 70 + q. What is the hundreds digit of o?
3
Let l = 7048 + -4689. What is the thousands digit of l?
2
Let b be 278*(-5 - (7 + -10)). Let s = -324 - b. What is the units digit of s?
2
Let a(m) = m + 1. Let h be a(-1). Suppose 15*y - 6129 = 7596. Suppose h = c - 6*c + y. What is the tens digit of c?
|
{
"pile_set_name": "DM Mathematics"
}
|
m of -162667, -162649, -162619, -162571, -162499, -162397, -162259?
q**3 + 11*q - 162679
What is the v'th term of 103773, 418593, 944463, 1681383, 2629353?
105525*v**2 - 1755*v + 3
What is the z'th term of 53326076, 106652119, 159978148, 213304157, 266630140, 319956091, 373282004, 426607873?
-z**3 - z**2 + 53326053*z + 25
What is the v'th term of 164433567, 164433563, 164433559, 164433555?
-4*v + 164433571
What is the k'th term of -53548, -105670, -157792?
-52122*k - 1426
What is the m'th term of -1028283, -2056896, -3085509, -4114122, -5142735?
-1028613*m + 330
What is the f'th term of -12956, -25833, -38702, -51557, -64392, -77201, -89978, -102717?
f**3 - 2*f**2 - 12878*f - 77
What is the i'th term of 307456, 1229792, 2767018, 4919134, 7686140, 11068036?
307445*i**2 + i + 10
What is the u'th term of -71474, -71506, -71542, -71582?
-2*u**2 - 26*u - 71446
What is the s'th term of 2883, 11295, 25305, 44907, 70095, 100863?
-s**3 + 2805*s**2 + 4*s + 75
What is the i'th term of -756367, -1512735, -2269103?
-756368*i + 1
What is the h'th term of 14666, 29212, 43554, 57590, 71218, 84336, 96842?
-17*h**3 + 14665*h + 18
What is the d'th term of -88054, -88084, -88118, -88156, -88198?
-2*d**2 - 24*d - 88028
What is the p'th term of 2440, -11771, -50344, -125459, -249296?
-2030*p**3 - p**2 + 2*p + 4469
What is the u'th term of 16788, 134239, 453052, 1073907, 2097484, 3624463, 5755524?
16780*u**3 + u**2 - 12*u + 19
What is the x'th term of -42, 225, 726, 1485, 2526, 3873?
4*x**3 + 93*x**2 - 40*x - 99
What is the z'th term of -971458, -1942896, -2914340, -3885796, -4857270, -5828768, -6800296, -7771860?
-z**3 + 3*z**2 - 971440*z - 20
What is the b'th term of -125, -192, -301, -470, -717, -1060, -1517?
-3*b**3 - 3*b**2 - 37*b - 82
What is the x'th term of -23607, -23560, -23503, -23430, -23335?
x**3 - x**2 + 43*x - 23650
What is the g'th term of 3530378, 7060771, 10591150, 14121509, 17651842?
-g**3 - g**2 + 3530403*g - 23
What is the q'th term of 11635, 13581, 15527, 17473, 19419, 21365?
1946*q + 9689
What is the g'th term of 6176, 12280, 18294, 24182, 29908, 35436, 40730, 45754?
-6*g**3 - 9*g**2 + 6173*g + 18
What is the y'th term of 1539063501, 1539063505, 1539063511, 1539063519, 1539063529, 1539063541, 1539063555?
y**2 + y + 1539063499
What is the a'th term of 10220, 41386, 93320, 166016, 259468?
-a**3 + 10390*a**2 + 3*a - 172
What is the l'th term of 3904, 3514, 2870, 1972, 820, -586, -2246?
-127*l**2 - 9*l + 4040
What is the z'th term of -2002807, -2002811, -2002815, -2002819?
-4*z - 2002803
What is the y'th term of -17116, -65464, -146044, -258856, -403900, -581176, -790684?
-16116*y**2 - 1000
What is the o'th term of 27484, 27394, 27326, 27292, 27304, 27374, 27514?
2*o**3 - o**2 - 101*o + 27584
What is the o'th term of -188833, -189001, -189169, -189337, -189505, -189673?
-168*o - 188665
What is the z'th term of -1850722, -3701432, -5552142?
-1850710*z - 12
What is the y'th term of -3574, -5996, -8422, -10852, -13286?
-2*y**2 - 2416*y - 1156
What is the j'th term of 5606, 22444, 50506, 89792, 140302, 202036?
5612*j**2 + 2*j - 8
What is the j'th term of 20567442, 41134840, 61702236, 82269630, 102837022?
-j**2 + 20567401*j + 42
What is the p'th term of -2878298, -2878244, -2878190?
54*p - 2878352
What is the f'th term of -22162647, -44325298, -66487949, -88650600, -110813251, -132975902?
-22162651*f + 4
What is the u'th term of -277, -557, -993, -1561, -2237, -2997?
4*u**3 - 102*u**2 - 2*u - 177
What is the a'th term of -557, -2573, -6051, -10991, -17393?
-731*a**2 + 177*a - 3
What is the r'th term of -85555, -85601, -85745, -86035, -86519, -87245, -88261, -89615?
-8*r**3 - r**2 + 13*r - 85559
What is the j'th term of 728, 8690, 21960, 40538?
2654*j**2 - 1926
What is the z'th term of 15918, 14803, 12944, 10341, 6994, 2903, -1932?
-372*z**2 + z + 16289
What is the o'th term of 33105, 131647, 295879, 525801, 821413?
32845*o**2 + 7*o + 253
What is the q'th term of 41533950, 41533945, 41533940, 41533935, 41533930?
-5*q + 41533955
What is the r'th term of -28397, -113936, -256501, -456092, -712709, -1026352, -1397021?
-28513*r**2 + 116
What is the k'th term of 90405, 92152, 93899, 95646, 97393?
1747*k + 88658
What is the o'th term of -10717957, -10717956, -10717955, -10717954, -10717953?
o - 10717958
What is the n'th term of -388835, -778449, -1168063, -1557677, -1947291, -2336905?
-389614*n + 779
What is the c'th term of -2925, -3239, -3549, -3855?
2*c**2 - 320*c - 2607
What is the x'th term of -228, 6, 1272, 4086, 8964?
86*x**3 - 368*x + 54
What is the h'th term of -218645, -437317, -656013, -874733, -1093477, -1312245?
-12*h**2 - 218636*h + 3
What is the k'th term of -2546, -2793, -3050, -3317, -3594, -3881?
-5*k**2 - 232*k - 2309
What is the m'th term of 1016, 108, -800?
-908*m + 1924
What is the j'th term of -133823, -257690, -381557, -505424, -629291?
-123867*j - 9956
What is the g'th term of 107, 131, 177, 245?
11*g**2 - 9*g + 105
What is the y'th term of -1395538, -5582081, -12559660, -22328281, -34887950?
-y**3 - 1395512*y**2 - 25
What is the i'th term of -275, -699, -1335, -2183, -3243?
-106*i**2 - 106*i - 63
What is the w'th term of 359752, 719751, 1079750, 1439749, 1799748, 2159747?
359999*w - 247
What is the j'th term of 610987, 1221966, 1832947, 2443930?
j**2 + 610976*j + 10
What is the f'th term of 592, 903, 1336, 1951, 2808, 3967, 5488, 7431?
10*f**3 + f**2 + 238*f + 343
What is the h'th term of 12572, 49684, 111534, 198122, 309448, 445512?
12369*h**2 + 5*h + 198
What is the h'th term of -47904, -191563, -431016, -766281, -1197376, -1724319, -2347128, -3065821?
-3*h**3 - 47879*h**2 - h - 21
What is the o'th term of 5060900, 10121619, 15182328, 20243021, 25303692, 30364335?
-o**3 + o**2 + 5060723*o + 177
What is the z'th term of -28428, -64910, -101392, -137874, -174356?
-36482*z + 8054
What is the t'th term of 6241173, 6241180, 6241187, 6241194, 6241201?
7*t + 6241166
What is the r'th term of -818317, -1636660, -2455007, -3273358, -4091713, -4910072, -5728435?
-2*r**2 - 818337*r + 22
What is the i'th term of 488072, 976183, 1464304, 1952435?
5*i**2 + 488096*i - 29
What is the k'th term of -393490, -393508, -393528, -393550, -393574?
-k**2 - 15*k - 393474
What is the s'th term of 5772, 5292, 4828, 4386, 3972, 3592, 3252?
s**3 + 2*s**2 - 493*s + 6262
What is the f'th term of -9198606, -18397211, -27595820, -36794433?
-2*f**2 - 9198599*f - 5
What is the p'th term of -1663463, -1663229, -1662997, -1662767?
-p**2 + 237*p - 1663699
What is the u'th term of -9699, -9245, -7969, -5445, -1247, 5051, 13875, 25651?
71*u**3 - 15*u**2 + 2*u - 9757
What is the o'th term of -4295, -4422, -4549?
-127*o - 4168
What is the r'th term of -2490846, -4981684, -7472518, -9963348?
2*r**2 - 2490844*r - 4
What is the q'th term of 460110, 920212, 1380312, 1840404, 2300482, 2760540, 3220572?
-q**3 + 5*q**2 + 460094*q + 12
What is the g'th term of 1044, 1784, 2230, 2376, 2216, 1744, 954?
-g**3 - 141*g**2 + 1170*g + 16
What is the o'th term of -498927, -498881, -498823, -498747, -498647, -498517, -498351, -498143?
o**3 + 39*o - 498967
What is the a'th term of 252138, 1008485, 2269064, 4033875, 6302918, 9076193, 12353700?
252116*a**2 - a + 23
What is the r'th term of 71012, 133887, 196762?
62875*r + 8137
What is the k'th term of -761, -1909, -3823, -6503?
-383*k**2 + k - 379
What is the u'th term of -1102, -246, 610, 1466, 2322, 3178?
856*u - 1958
What is the q'th term of 1866026, 1866044, 1866096, 1866200, 1866374, 1866636, 1867004, 1867496?
3*q**3 - q**2 + 1866024
What is the p'th term of -21743525, -43487052, -65230579, -86974106, -108717633?
-21743527*p + 2
What is the h'th term of -47968, -48050, -48138, -48232, -48332, -48438, -48550?
-3*h**2 - 73*h - 47892
What is the u'th term of -54152, -53945, -53742, -53543?
-2*u**2 + 213*u - 54363
What is the k'th term of 1129, 1107, 997, 739, 273, -461?
-10*k**3 + 16*k**2 + 1123
What is the b'th term of 581, 4841, 16531, 39395, 77177, 133621, 212471?
624*b**3 - 29*b**2 - 21*b + 7
What is the v'th term of -552, 123, 1960, 5541, 11448?
97*v**3 - v**2 - v - 647
What is the j'th term of 4090, 33484, 113490, 269422, 526594?
4219*j**3 - 8*j**2 - 115*j - 6
What is the d'th term of 586, 1282, 2450, 4096, 6226?
d**3 + 230*d**2 -
|
{
"pile_set_name": "DM Mathematics"
}
|
?
False
Suppose -3*s = 4*h - 82544, 13*s - 5*h - 137550 = 8*s. Is s a multiple of 44?
False
Let p = 2064 - -13424. Is 11 a factor of p?
True
Let d = -178 - -78. Let t = d + 300. Is 8 a factor of t?
True
Suppose 2*x = 4, -7*x + 2*x = -5*k + 20. Let z(h) = 4*h**3 + 4*h**2 - 51*h - 3. Is 7 a factor of z(k)?
False
Suppose -7*k = -10*k + 18. Let f(h) = -h**3 + 6*h**2 - 6*h. Let v be f(k). Let d = v - -62. Does 26 divide d?
True
Suppose -2*n + 4*n = 4, -2804 = -4*q + 2*n. Is q a multiple of 11?
False
Let z(w) = 51*w**2 + 5*w - 2. Let c(v) = 6*v - 56. Let t be (-2)/7 + 130/14. Let q be c(t). Does 30 divide z(q)?
False
Let s(a) be the first derivative of 7*a**4/12 + a**3/6 + 3*a**2/2 + 3*a + 7. Let w(c) be the first derivative of s(c). Is 29 a factor of w(-2)?
True
Let j be (-152)/(-6)*(-13 - -16). Suppose 0 = k + 5, -3*y - k - 218 = 0. Let t = y + j. Is t a multiple of 5?
True
Let b = 9 - 11. Let p(k) = 82*k**2 + 4*k - 3. Let x be p(b). Let f = x - 198. Does 19 divide f?
False
Let q(z) = 58*z - 113. Let d be q(2). Let g(l) = -10*l + 8. Let k be g(-6). Suppose -d*m = -k + 14. Does 3 divide m?
True
Suppose -4*i - 5*x = 1 - 8, -2*i = 2*x - 4. Suppose 4*z - 1343 = -i*c, 3*c = z + 1926 - 578. Is c a multiple of 14?
False
Suppose 2*f + 3 + 5 = 0. Let s be -1*f/(-22) + 310/11. Let d = s + 20. Is 5 a factor of d?
False
Suppose -5*o - 45 = 5*c - c, 0 = 2*c + 5*o + 25. Is 2 a factor of (1/(-5) - 357/c)*2?
False
Suppose 25*s - 9729 = -3404 + 5100. Is 8 a factor of s?
False
Suppose 4*a + 1 = 3*a + 2*r, -2*a - 2*r = -16. Suppose -3*s - a*n + 134 = 0, 0 = n - 5*n + 16. Suppose s = j - 180. Does 28 divide j?
False
Suppose -28*o + 162584 = 16788. Does 10 divide o?
False
Let y = 84 - 5. Let u = y - 89. Does 4 divide (608/u)/(-1) + 21/105?
False
Suppose 0 = -3*r - 5*x + 28, 2*r + 24 = 5*r + 3*x. Suppose -r*u + 869 = -409. Does 12 divide u?
False
Let z = 9772 + -5768. Suppose 0 = 2*h + 2*x - z, -2*x + 8008 = h + 3*h. Is h a multiple of 13?
True
Let a(r) = 25*r**2 + 208*r - 36. Does 66 divide a(-24)?
True
Let b(z) = 2*z**2 + 3*z - 2. Let y be b(-2). Suppose 2*j - 4*p + 0*p - 90 = y, 0 = -5*j + 2*p + 265. Suppose l + j - 209 = 0. Is 14 a factor of l?
True
Suppose -3*q + 17438 = -11*s + 15*s, 0 = q - 2*s - 5816. Is 102 a factor of q?
True
Is 47 a factor of 197*(-736)/(-16) + 9?
True
Let c(a) = -122*a - 554. Let l be c(-5). Let k = 88 - -66. Let j = k - l. Is 14 a factor of j?
True
Suppose 2*n = 5*t + 57, t + 47 - 2 = 2*n. Suppose n*g + 6*g = 6885. Does 49 divide g?
False
Suppose 5*l = 6*b - b + 255, 5*l - 2*b = 267. Let k = 78 - l. Suppose k*x - 25*x + 456 = 0. Is 19 a factor of x?
True
Let p = -48 - -47. Let v be ((-1)/(-3))/(p/(-18)). Suppose -x + 4*a + 62 + v = 0, -a = -4. Does 22 divide x?
False
Let p be 3*(-10)/(-45)*3273. Suppose -x + 497 + 56 = q, p = 4*q - 2*x. Does 57 divide q?
False
Suppose -36*x + 56827 = -24*x + 8587. Is 67 a factor of x?
True
Let z(g) = -2*g**3 - 14*g**2 + 18*g - 61. Let v(s) = s**3 - s**2 + s + 2. Let b(t) = 3*v(t) + z(t). Is b(16) a multiple of 17?
False
Let w = 781 - 774. Does 7 divide w*(8694/49)/9?
False
Suppose -134525 = -5*l + 5*k, -40 = -4*k - 20. Does 78 divide l?
True
Suppose 22932 = 67*x - 49*x. Is x a multiple of 3?
False
Suppose -2*a = 114 + 744. Is 15 a factor of 1 - a/3 - 8/2?
False
Let p = 7 - 24. Suppose 30*b = 27*b - 435. Let z = p - b. Is z a multiple of 9?
False
Let y be 19 + -5*(-10)/25. Suppose -y*j + 3753 = -12*j. Is j a multiple of 12?
False
Is 341 + 1079 + (18/4)/(-3)*-2 a multiple of 3?
False
Suppose -5*u - 14 = t + 5, -5*t = 4*u + 32. Let b(s) be the first derivative of -s**4/4 + 2*s**3/3 + 2*s**2 - 2*s - 144. Is 5 a factor of b(u)?
False
Let c = 2141 + 209. Suppose -4*t - t - 5*j = -2360, 5*t - 5*j - c = 0. Is t a multiple of 6?
False
Suppose 5*u - 269892 = -23*u - 8*u. Is 126 a factor of u?
False
Let m = -410 + 415. Let a(c) = 32*c - 28. Does 12 divide a(m)?
True
Suppose z = h + 8633, 5*h = 2*z - 9098 - 8147. Does 104 divide z?
False
Suppose -13*d + 397 = 1450. Let k = d + 95. Is (k/8 + -1)/(1/104) a multiple of 6?
True
Let j be (-1)/(-2) - (-117)/2. Let r = -13976 + 13974. Let n = r + j. Is n a multiple of 19?
True
Let p(c) = -2*c + 40. Let k be p(14). Let d = 11 - k. Is (d*2/(-6))/((-9)/(-1053)) a multiple of 10?
False
Suppose -2530 = -5*n + 5*z, 253*n + 4*z = 251*n + 1000. Is n a multiple of 72?
True
Suppose -5*d + 2881 = -394. Is 15 a factor of d?
False
Let j be (-27)/9 - (3 + -6). Is 23 a factor of 258*1 + -2 + (0 - j)?
False
Let r = 34 + -31. Let t(j) = 14*j - 8. Let o be t(r). Suppose d - o = -d. Is d a multiple of 12?
False
Suppose 3*k - 4*z - 15346 = 0, -2*z + 21592 = 4*k + 1182. Does 111 divide k?
True
Let m(f) = 4*f**3 - f. Let i be m(1). Let u(k) = 4*k**2 + 2*k + 4. Let c be u(-3). Suppose h + c = i*z - 30, -z + 32 = -3*h. Is 3 a factor of z?
False
Let j(h) = h + 2. Let o be j(13). Does 17 divide 3575/6 + o/(-18)?
True
Suppose 0 = 42*b - 80*b + 660440. Is 64 a factor of b?
False
Let h = 16903 + -16599. Is h a multiple of 16?
True
Suppose -14*q = -11*q - 2*a + 14, 0 = 5*q - 5*a + 15. Is -5 + 1826*(4/q)/(-1) a multiple of 86?
False
Let n = -58 - -63. Suppose n*k = 4 - 9. Is (3/(-15) - k)*1*190 a multiple of 38?
True
Let c be 18/10 - (6/(-15))/2. Let d be 14/(3 - ((-152)/(-28))/c). Is 8 a factor of 238/d*(6 + 1)?
False
Suppose v - a - 484 = -3*a, 0 = 5*v + a - 2456. Suppose -2*b - z = -3615, 0 = -b - 0*b - 3*z + 1815. Suppose v - b = -9*f. Does 42 divide f?
False
Let y(s) = 2*s**2 + 14*s + 9. Let q(d) = -12*d - 3. Let k be q(-1). Does 33 divide y(k)?
True
Let t(l) = l**3 - 10*l**2 - 24*l + 84. Is 9 a factor of t(13)?
True
Let s(r) = r**3 + 3*r**2 - 6*r - 1. Let p be (-12)/90 - (-64)/30. Let w be s(p). Suppose w*j - 2*j = 5*z - 80, -5 = j. Is 8 a factor of z?
False
Let q = 5 - -142. Let y = 360 - q. Let l = y - 128. Does 10 divide l?
False
Suppose -5*g = 3*q - 25, -q + 3*q = -g + 12. Suppose -2*t - 5*p = -0*p - 1861, 4*t - g*p - 3662 = 0. Is 17 a factor of t?
True
Suppose -2*z = -x + 83, 4*x = -4*z + 7*z + 357. Suppose 14*g = 290 + 298. Suppose g = l - x. Is 15 a factor of l?
True
Let x be (4*(-4)/24)/((-2)/9). Let m(q) = 1 + 4 - 44*q + x + 2*q. Is m(-8) a multiple of 35?
False
Suppose -3*h - 21 = g + 2*h, 5*g = 2*h - 24. Let b be (105/g)/7*(-48)/20. Suppose -b*o - 2*o + 432 = 0. Does 16 divide o?
False
Suppose -5*t + 4*b + 38557 + 21218 = 0, -3*t = 2*b - 35843. Does 17 divide t?
True
Suppose -328 + 320 = -4*x. Suppose 58 = -0*t + x*t. Is 29 a factor of t?
True
Suppose m + v = 0, -v = -2*m - 3*m - 24. Let u be (2 + 12/m)*1 - -105. Let q = -42 + u. Is 12 a factor of q?
False
Let t(h) be the first derivative of -h**7/840 - 13*h**6/360 + 13*h**5/120 - 4*h**3/3 + 13. Let s(d) be the third derivative of t(d). Does 3 divide s(-14)?
False
Suppose -2*w = -1438*q + 1435*q + 15837, 0 = -2*q - w + 10558. Is 54 a factor of q?
False
Let o = -27 - -27. Suppose -21 = 2*b - 3*w, 4*b + 4*w + 12 = -o. Let n = 51 + b. Is 3 a factor of n?
True
Let z(a) = -a**3 - 8*a**2 - 8*a - 7. Let p be (-33)/5 + (-22)/55. Let r be z(p). Suppose -w + 20 = -r*d - 2*d, 0 = 4*w - 5*d - 86. Is 12 a factor of w?
True
Suppose 4*w = 2*w + i + 5786, w = 2*i + 2884. Is w a multiple of 16?
True
Let b(o) = -77*o - 45. Let d be b(-9). Let q = -361 + d. Is 15 a factor of q?
False
Let p = -37 - -51. Is (1762/p - 1) + (-8)/(-56) a multiple of 25?
True
Suppose 4*j = -0*f - f + 492, 0 = 5*f + j - 2460. Suppose -3*p - 2*w = -f, 819 = p + 4*p + 3*w. Is 18 a factor of p?
True
Suppose -7*l + 237 = -1177. Suppose -3*y = 3*i + 239 + 100, -2*y = -2*i + 206. Let q = y + l. Is 22 a factor of q?
False
Suppose 5*i + 39 = 14. Is 11 a factor of 375/i*4*(-3)/10?
False
Suppose 8 = 5*o - 17. Suppose -2*p - 5*z = -139, o*p - p = -z + 305. Suppose -67 = -h + p. Is 19 a factor of h?
False
Let s(f) = -f**2 + f + 1. Let d(y) = -y**3 + 16*y**2 + y - 42. Let a(l) = -d(l) - 5*s(l). Is 3 a factor of a(12)?
False
Let i be 94 - -3 - (6 + -1 + -3). Let l = -8 + i. Is l a multiple of 29?
True
Suppose 9*n - 204 = -33. Suppose 2*k - n = -3*p - 0*p, 3 = -4*p + 3*k. Suppose x = p*l + 30 + 12, -2*l - 223 = -5*x. Is x a multiple of 35?
False
Let z(a) = -10*a + 860. Does 25 divide z(-89)?
True
Let x = 19 - 19. Suppose x = -s - 5*b + 91, 4*s + 247 = 7*s + 2*b. Is 5 a factor of s?
False
Do
|
{
"pile_set_name": "DM Mathematics"
}
|
4*sqrt(2) + 137/2
Simplify -5*(sqrt(153) + (sqrt(153) + (sqrt(153) + 1*sqrt(153) + sqrt(153) - sqrt(153)) + sqrt(153) + sqrt(153))*3)/(-4*sqrt(45)/sqrt(5)).
20*sqrt(17)
Simplify (sqrt(80) + 0)*1 + 1 + sqrt(80) + -3 - (-3*1*sqrt(35) - sqrt(35))/(1*sqrt(28) + sqrt(28) - sqrt(28)).
-2 + 10*sqrt(5)
Simplify (-3 + 1 + sqrt(343) + 3)*1.
1 + 7*sqrt(7)
Simplify ((sqrt(15) - (-1*sqrt(75) - sqrt(75))/sqrt(5)) + sqrt(15))/(sqrt(3) + sqrt(30)/(sqrt(30)/sqrt(3) + sqrt(10) - sqrt(10)))*1*4.
8*sqrt(5)
Simplify 5*(sqrt(1331) + 2*sqrt(1331)) + (-6*-1*sqrt(1331) - sqrt(1331)) - (-3 + (4*sqrt(1331) - sqrt(1331))**2*4).
-47913 + 220*sqrt(11)
Simplify -1 + -2 + -1*sqrt(20) + -5.
-8 - 2*sqrt(5)
Simplify ((sqrt(5040)*2)/(sqrt(5)*2*-1 + sqrt(5)))**2*-1 + -3.
-4035
Simplify (sqrt(20)/sqrt(4)*2 + sqrt(25)/(sqrt(30)/sqrt(6)) + sqrt(5) + -4 + sqrt(125) + 1 + 1)**2.
-36*sqrt(5) + 409
Simplify (-4 + -5*(0 + sqrt(1088)) - 1*sqrt(1088)*-2*-6)**2.
1088*sqrt(17) + 314448
Simplify ((-5*(-1 + sqrt(832)) - sqrt(832)) + sqrt(832) + 0 + -1 - -5*(-4 + sqrt(832) + -1 + sqrt(832)))**2.
-1680*sqrt(13) + 21241
Simplify -1*(sqrt(12)*2 - sqrt(12))*2 + (sqrt(1728) + sqrt(3) + sqrt(480)/sqrt(10))**2.
-4*sqrt(3) + 2523
Simplify (2 + 2*sqrt(704)*3 + -3)*4.
-4 + 192*sqrt(11)
Simplify 6*(sqrt(19) + (sqrt(19) - (sqrt(19) - sqrt(19)*3)) + -1) + 5 + (sqrt(19) + -3)*-4.
11 + 20*sqrt(19)
Simplify 2 + (-5*(sqrt(1584) + -2) + -1 + sqrt(1584)*-1)**2.
-1296*sqrt(11) + 57107
Simplify -1*(sqrt(75) - ((sqrt(75) + 3*(-1 + sqrt(75)))**2 + sqrt(75)) - (3 + (sqrt(75) + 0 - sqrt(75)))**2 - ((-1 + sqrt(75))*-3 + sqrt(75)*1*-5)).
-160*sqrt(3) + 1221
Simplify 5 + 5 + (-1 + (sqrt(153) + 0 - sqrt(153)) + -6*sqrt(153)*-1 + -2)**2.
-108*sqrt(17) + 5527
Simplify ((sqrt(588) - 1*sqrt(588))*-1)/(sqrt(726)*-2*2).
0
Simplify (sqrt(55) + (sqrt(55)*-6 + sqrt(55))*4)/(sqrt(22)/(sqrt(2)*-1)).
19*sqrt(5)
Simplify -2 + -4*(sqrt(900)*1)/(sqrt(3) + sqrt(33)/sqrt(176)) + -3.
-32*sqrt(3) - 5
Simplify (-2*sqrt(396)*3 - sqrt(99)/sqrt(144)*5)**2.
244211/16
Simplify ((sqrt(19) + sqrt(19) + -1)*2 - (-5 + (sqrt(19)*2)**2)) + -1 - (2 + (sqrt(76) - (sqrt(76) - (sqrt(76) + -2))))*3.
-74 - 2*sqrt(19)
Simplify ((sqrt(304) - sqrt(304)*-2)/sqrt(8) + sqrt(3800) + sqrt(3800)*-2 + sqrt(3800))/((sqrt(3456) - sqrt(3456)*3)/sqrt(12)).
-sqrt(19)/8
Simplify (sqrt(567) - 6*(sqrt(567) - (sqrt(567) - sqrt(567)*3)) - (5 + 0 + sqrt(567) + sqrt(567)))**2.
1710*sqrt(7) + 204712
Simplify 3*(0 + 0 + sqrt(162))**2 + (sqrt(162) + (sqrt(162) + 1 - sqrt(162)) + 0 - (-5 + sqrt(162)*-1))**2.
216*sqrt(2) + 1170
Simplify 3 + (-2*sqrt(448)*1 + 2 + 4)**2.
-192*sqrt(7) + 1831
Simplify (-3*sqrt(72)*-1)/((sqrt(36) + (sqrt(36)*-1 - sqrt(36)))/sqrt(4)*4).
-3*sqrt(2)/2
Simplify 2*((-4*1*sqrt(40))/((2*sqrt(24))/sqrt(3)))**2.
40
Simplify (-1 + 3 + (sqrt(288) - ((sqrt(288) - (sqrt(288) + -1 + sqrt(288) + sqrt(288)) - sqrt(288)) + 5 + sqrt(288))) + 5 + -2)**2.
-72*sqrt(2) + 2593
Simplify -4*(5 + sqrt(2)*-2 + sqrt(2)) - 6*(-3*sqrt(6))/sqrt(3).
-20 + 22*sqrt(2)
Simplify (sqrt(9)/(sqrt(240)/sqrt(5)))**2 - ((sqrt(147) + -1)*2)**2.
-9469/16 + 56*sqrt(3)
Simplify 3*((-3*(sqrt(2) + 1 - sqrt(2)))**2 - (sqrt(2) + sqrt(54)/sqrt(3))) + 0 + -1 + -1.
-12*sqrt(2) + 25
Simplify ((6*sqrt(360) - sqrt(10))*-5)/(3*-2*sqrt(5)*-1).
-175*sqrt(2)/6
Simplify (3*(-2 + sqrt(112)) - ((-2*sqrt(112))**2 + 0)) + -3 + 0.
-457 + 12*sqrt(7)
Simplify ((-4 + sqrt(108) + 0 + sqrt(108) - sqrt(108) - sqrt(108) - sqrt(108))**2 + 2)*-6.
-756 - 288*sqrt(3)
Simplify ((sqrt(153)*2 - sqrt(153))/sqrt(9) + sqrt(17) + 2)*-4 + (2 + (-1 + sqrt(17) - sqrt(17)) - (6*sqrt(102)/sqrt(6))**2).
-619 - 8*sqrt(17)
Simplify (1*sqrt(4032) + sqrt(4032) + 5 + 2)**2.
672*sqrt(7) + 16177
Simplify ((-6*(2 + sqrt(405)))**2 - (sqrt(165)/sqrt(3)*-6)/sqrt(11)) + 1.
1302*sqrt(5) + 14725
Simplify 6*(-2 + (sqrt(704)*4)**2 + (sqrt(704) + 0)**2 + 3).
71814
Simplify (-4*(sqrt(75)*1 + sqrt(75) + -3 + 2*sqrt(75) + 1))**2.
-1280*sqrt(3) + 19264
Simplify (-4*(sqrt(567)*-2*-3 + 2*sqrt(567) + 3))**2*3*4.
82944*sqrt(7) + 6969024
Simplify (3*-2*5*(5 + -2*sqrt(1900)))**2.
-180000*sqrt(19) + 6862500
Simplify 2*((sqrt(35)*-1*-6)/(sqrt(42)/(sqrt(12)/sqrt(2))) + 2)**2.
48*sqrt(5) + 368
Simplify ((sqrt(65)/sqrt(5) + 2 - sqrt(13)) + -1)**2 + (sqrt(130) + -1*(sqrt(130) - -1*sqrt(130) - sqrt(130)))/sqrt(10).
1
Simplify (-1*sqrt(833) - sqrt(833))*-1 + (sqrt(2448) - (2 + sqrt(2448)))*-6.
12 + 14*sqrt(17)
Simplify 4 + 2*sqrt(605) - (-5 + sqrt(125)*2)**2.
-521 + 122*sqrt(5)
Simplify -5 + (sqrt(88)/(sqrt(392) + sqrt(392)*1) - (0 + sqrt(1584) + 0)**2) + 3.
-1586 + sqrt(11)/14
Simplify 6*((-6*sqrt(132)/(sqrt(84)/sqrt(7)))**2 - (5 + sqrt(44)/sqrt(4) + 2)).
-6*sqrt(11) + 2334
Simplify 2*-2*(sqrt(175) + -4)**2 + (sqrt(175)*2*-3 - (-3 + -1 + sqrt(175) - sqrt(175)))**2.
-80*sqrt(7) + 5552
Simplify (5*(sqrt(720) + -2) - 2*(sqrt(720) + 2 + sqrt(720) - sqrt(720)))**2 + 5.
-1008*sqrt(5) + 6681
Simplify (2*sqrt(204)*6 + sqrt(204) + (sqrt(204) + -2*sqrt(204))*-1)/(sqrt(60)/(sqrt(10)/(sqrt(2)*-1))).
-14*sqrt(17)
Simplify (-5*(sqrt(209) - (sqrt(209) - -1*sqrt(209))))/((sqrt(88)*1)/sqrt(8)) - (-3 + 1 + sqrt(19) + (sqrt(931)*1 + sqrt(931))**2).
-3722 + 4*sqrt(19)
Simplify (((sqrt(21) + -1*sqrt(525))*6)/(sqrt(15)/(6*(sqrt(10)/sqrt(2) - sqrt(5) - sqrt(5)))))**2.
145152
Simplify 1 + (sqrt(200)/(sqrt(10)*-1 - sqrt(10)))/(sqrt(640)*1) + -1.
-sqrt(2)/16
Simplify (sqrt(12)/(-1*sqrt(30)/sqrt(5) + sqrt(6) + sqrt(6) + sqrt(6)) + sqrt(2) + 0 + 2 + -2 + sqrt(10)/sqrt(5))**2.
25/2
Simplify 3 + -2 + (sqrt(325) + (0 + sqrt(325))*-5)*-5 + 5.
6 + 100*sqrt(13)
Simplify -2 + sqrt(112)*-2 + 4*(sqrt(112) - (sqrt(112) - (sqrt(112)*1 + sqrt(112))))**2.
-8*sqrt(7) + 1790
Simplify (sqrt(396)/(2*sqrt(108)))/(sqrt(12)/sqrt(16) - (sqrt(3) + sqrt(96)/sqrt(2))).
-sqrt(11)/27
Simplify 0 + (-6*((sqrt(117)*1 - sqrt(117))*-1 + sqrt(117)))/((sqrt(324) - sqrt(324)*-1)*-4).
sqrt(13)/8
Simplify ((-6*(sqrt(325) + (sqrt(325) + -1 + sqrt(325) - sqrt(325)) + -2) - (sqrt(325) + (0 + sqrt(325))*-5)*-1)*-4)**2.
-46080*sqrt(13) + 1336384
Simplify ((sqrt(4235) - -1*sqrt(4235))/(sqrt(180) + 1*sqrt(180) + sqrt(180)))**2 + -1.
766/81
Simplify -3 + 5 + 0 + (-1 + sqrt(98))**2 + -5*(-1 + sqrt(98))**2 + 2.
-392 + 56*sqrt(2)
Simplify (-5*((sqrt(1008) - -2*sqrt(1008)*-3) + -2 + 4*sqrt(1008) + sqrt(1008) + -5))**2.
1225
Simplify -6*(3 + 5*(sqrt(52)/sqrt(4) + 5) + 0)*-2.
60*sqrt(13) + 336
Simplify (((sqrt(1216) + 4 - sqrt(1216) - sqrt(1216)) + 1)**2 + sqrt(1216)*-5 + -4)*4.
-480*sqrt(19) + 4948
Simplify (5*((sqrt(10)/sqrt(2)*5 - sqrt(5)) + -5))**2 + (sqrt(40)*-1*6 - sqrt(40))/(sqrt(360)/sqrt(5)).
-3007*sqrt(5)/3 + 2625
Simplify -4 + -5*(((sqrt(45) - sqrt(720))*2)**2 + -3).
-8089
Simplify (((sqrt(126) + sqrt(126)*2 + sqrt(126))*-4)/sqrt(7) + sqrt(216)/((sqrt(12) - sqrt(60)/sqrt(5))*-4 + sqrt(12)))**2.
4050
Simplify 5 + -3*(-3 + (sqrt(1900) + sqrt(1900) + sqrt(1900) + (sqrt(1900) - (sqrt(1900)*-1 - sqrt(1900))) + -5 - sqrt(1900))**2).
-142561 + 1500*sqrt(19)
Simplify (sqrt(132) - 3*(sqrt(132) + (sqrt(132)*1 - sqrt(132)) + sqrt(132)))/(sqrt(48)*6 - sqrt(12)).
-5*sqrt(11)/11
Simplify ((sqrt(2187) - (sqrt(2187)*1 + sqrt(2187) - sqrt(2187)))*-4)/(sqrt(9) + sqrt(81) + 1*sqrt(81) + sqrt(81) - 1*sqrt(27)/sqrt(3)).
0
Simplify (-4 + (((sqrt(832) + -1)*4 - sqrt(832))**2 - (sqrt(832) + (sqrt(832) + -2 + sqrt(832))*-3)**2))*-1.
-288*sqrt(13) + 13336
Simplify (sqrt(60)/(sqrt(18)*-6))/(sqrt(40) - sqrt(160)*-4).
-sqrt(3)/324
Simplify ((2 + sqrt(28) - 3*sqrt(1008)) + 4)**2 + 5.
-408*sqrt(7) + 8133
Simplify (-4 + 4*(1 + sqrt(8)))**2*5.
640
Simplify ((3*sqrt(396)*-2)/sqrt(12))/((sqrt(1584) - sqrt(1584)*1) + (sqrt(539) - sqrt(539)*2)).
6*sqrt(3)/7
Simplify 1*sqrt(1152) + -4 + 2*(4*(0 + sqrt(8)) - sqrt(8)).
-4 + 36*sqrt(2)
Simplify 6*(-1*(1 + sqrt(27) - sqrt(3))**2 - (sqrt(36)/(sqrt(36)/sqrt(3)) - sqrt(24)/sqrt(2))).
-78 - 18*sqrt(3)
Simplify (6*(sqrt(56)/(sqrt(64)/(sqrt(8) - (-3*sqrt(8) - sqrt(8)))) - sqrt(21)/(sqrt(243)*3 - sqrt(243))))**2.
55447/9
Simplify (1*(sqrt(65) - (sqrt(65) + sqrt(65) + -1*sqrt(65)))*3)/(-2*-1*sqrt(5)*-2) + -5.
-5
Simplify (-5*((0 + (sqrt(363) - (sqrt(363) + -1)) - (sqrt(363) + -5 + (sqrt(363) + 0 - sqrt(363)) + sqrt(363) + sqrt(363))) + -5))**2.
-1650*sqrt(3) + 81700
Simplify (sqrt(245) + 0 + sqrt(5) - (sqrt(500) + -2 + sqrt(500))) + sqrt(
|
{
"pile_set_name": "DM Mathematics"
}
|
common factor of h and x?
3
Suppose -23 = -5*s + 2*k, 5*s - 4*k - 35 = k. Let w be (2 - s) + -1*(-4)/1. Calculate the greatest common factor of w and 2.
1
Suppose -2*w - 2*w - 3*a = -115, 3*a + 71 = 2*w. Calculate the greatest common divisor of w and 31.
31
Suppose 0 = 14*s - 6*s + 24. Let l(b) = -b**3 - 2*b**2 + 1. Let z be l(s). Calculate the highest common factor of 10 and z.
10
Suppose 15 = -q + 23. What is the highest common factor of q and 2?
2
Suppose 2*s - 6 = 22. Let q(b) = -17*b + 7*b + 2*b**3 - b**3 + 12*b - 3 - 5*b**2. Let p be q(5). Calculate the highest common divisor of s and p.
7
Suppose s + 0 = -9. Let p = s - -12. Calculate the greatest common factor of p and 2.
1
Let z(m) = -m - 11 - 2*m**3 - 3*m + 4 - 4*m**2 - 3*m. Let p be z(-4). Let w = -47 + 81. What is the highest common divisor of w and p?
17
Suppose -3910 = -3*p + 2498. Let o be p/60 + (-3)/5. What is the highest common divisor of o and 245?
35
Suppose -10*k = -15 - 165. Let p(j) = -j**3 - 2*j**2 + 6*j. Let z be p(-5). Calculate the highest common divisor of k and z.
9
Suppose 0*m - 2*k = -m - 5, 0 = -5*m + 3*k + 10. Suppose -144 = w - m*w. Calculate the greatest common factor of w and 90.
18
Suppose 19 = 2*o + 3*s, 3*o - 3*s - 57 = 2*s. Suppose -f + 2 + o = 0. Let h be (-7 - -8)*(14 - -2). Calculate the greatest common divisor of h and f.
16
Suppose -j - 945 = -p - 2*p, 5*j = p - 315. Let a be -1*4*p/(-20). Let s = 21 - 14. What is the greatest common divisor of a and s?
7
Let f = 9 - 7. Suppose 7*u = 8*u - 5. Suppose -g = -0*g + u*l - f, 3*g - 6 = -l. What is the highest common factor of 4 and g?
2
Suppose 3*m - 460 = 4*g, -2*m - 2*g - g = -301. Let r = 477 + -458. Calculate the greatest common divisor of r and m.
19
Suppose -h = 4*b - 54, 4*b - 53 = -2*h - 1. Suppose 0*d = -4*d + 84. Calculate the highest common factor of b and d.
7
Suppose -43 = -11*k + 45. Calculate the highest common factor of 128 and k.
8
Let z(b) = 5*b**2 + 11*b - 57. Let l be z(6). Let x be 2 + 25 - (-2 + 2). Calculate the greatest common divisor of l and x.
27
Suppose -2*v + 0*v + 2*p + 84 = 0, v + 5*p - 42 = 0. Calculate the highest common factor of v and 18.
6
Let k(u) = 19*u - 192. Let n be k(16). What is the highest common divisor of 42 and n?
14
Suppose w + 3*x + 3 = -0*w, 5*w = 4*x - 110. Let s be ((-9)/6)/(3/w). Suppose 81 = 3*c - 0*c. Calculate the greatest common factor of s and c.
9
Suppose 0 = 12*g - 14*g + 204. What is the greatest common factor of 136 and g?
34
Suppose 0 = w - 91 - 35. Let v(s) = 2*s**2 - s - 2. Let k be v(2). Suppose -2*h - 28 = -k*h. What is the highest common factor of w and h?
14
Let j(a) = 30*a**2 + 12*a + 9. Let g be j(-4). Calculate the greatest common factor of 1176 and g.
147
Suppose -4*n + 4 = 12. Let o be 4*n/((-8)/11). Let x be (-99 - -101)*11/2. Calculate the greatest common divisor of x and o.
11
Let z = 0 + 28. Suppose 2*p - 7*p = 0. Suppose 2*a - 3 - 3 = p, -k + 4*a = -58. Calculate the highest common factor of k and z.
14
Let l be ((-808)/168 + (-2)/(-14))*3. Let g(q) = -4*q - 51. Let r be g(l). Calculate the greatest common divisor of r and 10.
5
Let g(f) = -105*f - 1. Let l be g(-1). Suppose -2*u = 40*u - 3276. Calculate the highest common divisor of l and u.
26
Suppose -3*p - 12 = 3*b, -2*b = 2*p + 2*p + 8. Suppose p = 4*x + 4*j + 33 - 569, 5*x + 3*j = 672. Calculate the highest common factor of 15 and x.
15
Let b = 20 + -17. Let u be b/(-4) + 3717/12. Let t be (-3)/(-6) - u/(-6). What is the highest common factor of t and 26?
26
Suppose o + 4*i = 45, 5*o + i = -0*o + 130. Let f = 26 - 21. Suppose 3*b - 112 = -2*w, 4*w + 0*b - 180 = f*b. Calculate the greatest common factor of w and o.
25
Let k be ((-10)/4)/(2/(-52)). Let f = k - 55. What is the highest common divisor of f and 5?
5
Let f be 6/3*(-2)/(-4). Let u be 10*f*(-8)/(-16). What is the greatest common divisor of u and 25?
5
Suppose 3*t - 21 = -3*a, -4*a + 26 - 7 = t. Suppose 0 = a*b - 3*b. Suppose g - 9 - 1 = b. What is the greatest common factor of g and 30?
10
Let s be 5/(-4) + (-1)/(-4). Let p be (6/(-4))/(35/(-14) - -3). Let v be p - (-65 + (s - -3)). What is the highest common factor of 40 and v?
20
Suppose -2*p + 5*b - 3130 = -7*p, -5*b = -4*p + 2513. Calculate the greatest common factor of 114 and p.
57
Let g = 116 - -4. Calculate the greatest common divisor of g and 72.
24
Let n(c) = 7*c**2 + 4*c - 17. Let v(u) = u**2 + u. Let k(t) = n(t) - 3*v(t). Let p be k(5). What is the greatest common factor of 8 and p?
8
Let a be 2040/18 - 2/(-3). What is the greatest common factor of a and 266?
38
Let h(q) be the second derivative of -4*q - 5/2*q**3 - 1/20*q**5 + q**2 + 4/3*q**4 + 0. Let w be h(15). What is the highest common factor of 16 and w?
2
Suppose 5*r - 3*t - 6 = 0, -4*r + 3*t = -7*r + 18. Suppose 0 = -r*m + 7*m - 500. Calculate the highest common factor of m and 25.
25
Let p = -13 + 29. Let u(x) = -2 + 39*x + p*x - 5 + 5. Let d be u(2). What is the greatest common factor of 12 and d?
12
Suppose 2*u - 10 = 2*f, 7 = -2*f + 1. Suppose 24 = 2*r - 5*w, 5*r = -u*w + 49 + 11. Suppose 19*m = 8*m + 1452. Calculate the greatest common divisor of m and r.
12
Suppose 4*w - 3*w - 34 = 0. Let v = -33 + w. Suppose -2*l - 4*k = 3*l + 11, -8 = 4*l + 3*k. What is the greatest common factor of v and l?
1
Let n = 88 + -34. What is the greatest common factor of 594 and n?
54
Let u(x) = -x**3 - 11*x**2 - 12*x - 14. Suppose i + 2*i - 150 = 0. Suppose k = -4*k - i. Let p be u(k). Calculate the greatest common divisor of 30 and p.
6
Suppose -17 = -k - 10. Let w be (242/(-6))/((k + -4)/(-9)). Let a be (-10)/4*44/(-10). What is the highest common factor of a and w?
11
Suppose 4*u = -m + 2*m + 273, 0 = 3*m + 3. What is the greatest common factor of 748 and u?
68
Let c be 4 - 1 - (-10)/2. Let n = 6 - -26. What is the greatest common factor of c and n?
8
Let c = -134 + 292. Let o = c - 125. Suppose 4*q - 48 = p, 0 = -5*q - 2*p - 1 + 48. What is the highest common divisor of o and q?
11
Let b be 16 + -13 + 3*(10 + 1). What is the highest common factor of 24 and b?
12
Let d be -2 + (-6)/(1 - 7) + 39. Calculate the greatest common divisor of d and 1558.
38
Suppose 65 = 3*d + 10*d. Let t = 31 + 20. Suppose 5*n - 151 = -t. Calculate the highest common factor of n and d.
5
Suppose -5*p + 10*p = 25. Let b(c) = c**2 - 4 + c**3 - 4*c + 5*c + 0. Let h be b(3). Calculate the highest common divisor of p and h.
5
Suppose d + 5*n + 2 = 0, -4*n = -3*n + 1. Suppose d*w - 7 - 65 = 0. Suppose -5*m + 7 = -113. Calculate the highest common factor of m and w.
24
Let t = -254 - -306. What is the highest common factor of 494 and t?
26
Suppose 21*q - 18*q = 54. Calculate the greatest common factor of q and 102.
6
Suppose -14*v = -269 - 431. Calculate the greatest common divisor of v and 30.
10
Suppose 11*l + 52*l - 885 = 4*l. Suppose 4 = -4*g, w + g - 4*g - 4 = 0. Calculate the highest common divisor of w and l.
1
Let h be (-5)/((-45)/36) - 8*-2. What is the highest common factor of 90 and h?
10
Let u = -189 - -213. What is the highest common factor of u and 104?
8
Let j(c) = -2*c**3 + c**2 + 16*c + 39. Let r be j(-2). Let k(z) = 18*z**2 - z - 1. Let l be k(-1). Calculate the greatest common divisor of r and l.
9
Let r(v) = 67*v - 23. Let f be r(3). Suppose -6*a = 34 - f. What is the greatest common divisor of a and 24?
24
Suppose -t - 3*t + 828 = -3*k, -5*k + 592 = 3*t. Calculate the highest common factor of 12 and t.
12
Let d = 11 + 29. Let z = d + -10. What is the greatest common factor of z and 330?
30
Suppose -640 = -53*w + 33*w. Calculate the greatest common factor of w and 104.
8
Suppose -4*l + 7 = 5*f, -f - 16 = -4*l - l. Let s be (-2)/((-10)/(-465)*l). Let i = -27 - s. Calculate the greatest common factor of i and 1.
1
Suppose -2*g + 924 = 5*g. Suppose -2*q + g = -0*q. Calculate the greatest common factor of q and 6.
6
Suppose 4*c = -9*c + 195. Suppose -x + p + 23 = 0, -3*x + c = p - 46. What is the greatest common factor of 42 and x?
21
Suppose 0 = -3*w - 5*v + 70, 5*v = 4*w - 2*w - 80. Suppose 5*r + 3*m = 72, -5*m + 3*m + 73 = 5*r. What is the highest common divisor of w and r?
15
Suppose -8256 - 4666 = -13*r. What is the greatest common factor of r and 14?
14
Suppose 120 = 8*q - 12*q. Let m be 4/(-10) + 18*(-4)/q.
|
{
"pile_set_name": "DM Mathematics"
}
|
*y - 191, 2*y - 6*l + l - 102 = 0. Suppose y + 14 = 5*n. Let z be ((-6)/n)/(-1 + 4/5). What is the nearest to z in 3/7, -2/7, -2?
3/7
Let y(x) = -152*x - 6538. Let r be y(-43). Which is the nearest to 0.6? (a) 4/5 (b) 12/11 (c) 1/3 (d) r
a
Let n = -196.2 - -248. Let o = n + -52. Let l = 0.33 - 3.33. Which is the nearest to o? (a) -4 (b) -0.2 (c) l
b
Let n = -1.06 + 1.56. Suppose 2*m - 14 = -64. Let t be m/35 + -1 + 2. What is the closest to 0.1 in n, t, -3?
t
Let z = -1.2 + 1.5. Let x(r) = 5*r + 12. Let p be x(-4). Let v be 84/(-16) - (-6)/p. Which is the nearest to -1/2? (a) v (b) -5 (c) z
c
Suppose -7*x + 2*x + 21 = -3*u, -3*x + 1 = 4*u. What is the nearest to x in -0.3, 167, -4/5?
-0.3
Let d be ((-1)/4)/(2 + -1). Let n = -9940 + 9939.6. Which is the nearest to 0? (a) d (b) n (c) 0.1
c
Let r = 89 + -94. Let v be r*(135/(-25) + 4). Let c be v - 88/12 - 14/30. What is the nearest to 8 in c, 5, 3?
5
Let v be 6*((-1)/(-2) - 0). Suppose 1 = 4*z - v*z. Let t be (0/z + -1)*4/10. Which is the closest to t? (a) 5 (b) -5 (c) -7
b
Let i = -5646 + 5646.2. Which is the nearest to 0.08? (a) 2/5 (b) i (c) 31 (d) -0.1
b
Let w be (-2)/(-6) - (-6)/(-54). Let a = 1/1208 + 2411/6040. What is the nearest to -1 in a, w, -3?
w
Let q(g) = g**3 - 5*g**2 - 2*g + 14. Let r be q(5). Which is the closest to 0? (a) r (b) 11 (c) -0.2 (d) 5
c
Let s be (-10)/12*336/392 - -1. Which is the nearest to -3? (a) s (b) 0.22 (c) 18
b
Let s = -2021.3 - -2021.4. Which is the closest to s? (a) -2 (b) -0.5 (c) 0.5 (d) 66
c
Suppose 9*i - 4*i = -3*l + 186, -170 = -5*i + 5*l. Suppose -i = -12*h + 12. Let f = 1.37 - -1.63. Which is the closest to h? (a) f (b) 0 (c) 2/7
a
Let z = -7829 + 7833. What is the closest to -7/2 in -3, -3/2, -0.08, z?
-3
Let z = -64.1942 + 0.1942. Let w = -0.07 - -66.07. Let r = z + w. Which is the closest to r? (a) 0.3 (b) 0.2 (c) -0.5
a
Let h = -11.41 - 11.99. What is the nearest to 0 in h, -4, 0.3?
0.3
Suppose s - 11 = 11*x, x - 5 = 6*x - 3*s. Which is the closest to x? (a) 1/3 (b) 2/11 (c) -44
b
Let w be 2/18 + (-2)/(-9). Let o = 246 - 243. Let g = 20.7 - 19.7. Which is the closest to w? (a) o (b) g (c) -5
b
Let t(c) = -c**3 + 7*c**2 + c + 11. Let v be t(7). Suppose v*r - 22*r = -16. Suppose -r*q + 0*q + 4 = 0. What is the nearest to 0.2 in -5, q, -0.05?
-0.05
Let n = 490.8 - 129. Let b = -363 + n. What is the closest to 2 in b, -2, -0.3, -5?
-0.3
Let m = 31 - 31. Let h = -0.02 + 128.02. Let t = h + -127.95. What is the closest to m in -3/5, t, -0.5?
t
Let d = -13 - -12.917. Let s = 0.117 - d. What is the closest to -0.1 in s, -0.5, 0.1, 1?
0.1
Let z = 13222.2 - 13222. Let d be ((-15)/20)/(1/4). Let h = d + 7. What is the nearest to z in -0.04, h, -2?
-0.04
Let o = 1683.6 - 1684.5. What is the nearest to o in -2, -3, -0.6, 4?
-0.6
Let k = -2.3 - -2. Let s(o) = 3*o**3 - 2*o**2 + 7*o - 18. Let i be s(2). Suppose -5*m - 22 = -i. Which is the nearest to 0? (a) 4 (b) m (c) k
c
Let p = 221 + -306. Let s = p - -88. Which is the closest to 9? (a) -0.4 (b) 5 (c) s
b
Suppose 64*u + 171 = 235. What is the nearest to -2/3 in 271, -0.9, 0.4, u?
-0.9
Let i be (-288)/(-32) - -30*(-36)/112. Which is the closest to i? (a) -3 (b) 0.3 (c) -0.9
c
Let f be (1314/27)/((-1)/(-15)). Suppose -4*o - 1246 = -5*g, -3*g - 2*o + f = -0*g. Let i = g - 1226/5. What is the nearest to 1 in 2, i, 0.5?
i
Let i be (-118)/108 - (-7 + 6). Let m = i - 1/54. Let x = 379 + -382. Which is the nearest to 0? (a) -0.5 (b) m (c) x
b
Let t(o) = 5*o**2 - 11*o + 13*o - 4 - 5 + 0 + o**3. Let r be t(-4). Let n = -12 - -12. Which is the nearest to r? (a) 5/4 (b) n (c) -4
b
Let h = -3.0465 - -0.0465. What is the closest to -0.1 in h, -31, 51?
h
Let i = -47.63 - -47.13. Which is the closest to 1? (a) -2/5 (b) 0.1 (c) i (d) -0.02
b
Let m = 35107/23402 - 2/11701. What is the nearest to 0 in 5, -86/9, -3, m?
m
Let n = 731 + -729.825. Let i = n - 0.775. Suppose 2*s + 3*s = -4*d - 4, -4*s - 36 = -5*d. What is the closest to -0.1 in s, -2, i?
i
Let l(w) = -5*w + 3. Let u(a) = 12*a - 6. Let i(t) = -5*l(t) - 2*u(t). Let g be i(-1). What is the closest to 1/4 in 0.03, 2, g, -0.4?
0.03
Let t be 3/28*((-8)/12 - 0). Which is the nearest to 65? (a) t (b) 0 (c) 0.4
c
Let s = -1759 - -1756. What is the nearest to 2/5 in s, -6, -4, 5?
s
Let o = 4.6 - 5. Let q = -2.5 + 3. Let r = 943.3 + -943. What is the closest to r in q, -0.1, o?
q
Let l be ((-24)/18)/((-1)/(-6)). Let k be (l/(-4))/((-6)/3). Let y = 72.8 - 72.3. Which is the nearest to y? (a) -0.5 (b) k (c) 1/6
c
Suppose -32 + 15 = 3*l - 14. Suppose 165 - 20 = 5*g. Suppose 4*s - 5*s - g = -5*p, -33 = 2*s - 5*p. Which is the nearest to l? (a) 4 (b) s (c) 1
c
Let p be 11/9 - 2 - (-60)/(-6750)*25. What is the closest to p in -2/19, 48, -1?
-1
Let k = -279.98 - -282.98. Let i be -1 - 3/((-60)/22). Which is the nearest to 2? (a) k (b) 3/5 (c) i
a
Let q = -6141/24580 - 1/6145. Which is the closest to 5? (a) 0.9 (b) q (c) -3 (d) 0
a
Let v be 1 + -3 - (-9)/6. Let q be 11*21/((-48510)/60). Let d = 16 - 11. Which is the nearest to q? (a) v (b) d (c) 0.3
a
Let f(v) = -8*v**2 + 106*v - 200. Let r be f(11). Which is the nearest to -7? (a) r (b) -3 (c) -1 (d) 8/19
b
Let s = 1.3 + -1.3. Let m = -29.31 - -29.37. What is the nearest to s in m, -1/4, -2/3?
m
Let v = -4.7 + 0.7. Let r = v + 4.05. Let d be (-3)/(-27) + (-980)/315. What is the closest to r in -2/3, d, 3?
-2/3
Let n = 274 - 269. Suppose n*a + 10 = 5*x, 4*x - 5*a - 42 = -34. What is the nearest to x in -2/11, -3, 2/5?
2/5
Let g = -0.031 - -0.031. Suppose 2*p + 2*p - 184 = 0. Let x be 124/198 - p/253. What is the closest to g in -1/3, 8, x?
-1/3
Let m(w) = -w**3 + 6*w**2 + 7*w - 3. Let r be m(7). Let n be ((-1)/r)/(1698/(-846) + 2). Let k = n + 93/2. Which is the closest to k? (a) 1 (b) 0.3 (c) 3/5
b
Let q = -0.061 - -0.206. Let d = q + 0.055. Let f be (-17)/14 + (-7)/(-14)*3. What is the closest to 1/8 in d, -0.1, f?
d
Let m = -12092 - -12066. What is the nearest to 36 in -5, 0.4, m, 0?
0.4
Let s be -10 + 11 - 1*(0 - 4). Let m be (-58)/116*(2 - 2). Let d(x) = x**2 + 3*x - 2. Let w be d(-4). Which is the nearest to w? (a) m (b) s (c) 1/2
c
Let l = -7/15 - -4/5. Let n = -184 - -208. Let v = 24.3 - n. Which is the nearest to l? (a) 5 (b) v (c) 1/5
b
Let m = -0.246 + 0.046. Let u = 33/14 + -589/238. Which is the nearest to m? (a) u (b) -3/5 (c) 3
a
Let v = 0.314 + -0.014. Let h be ((-215)/25 + (8 - -1))*6/4. Which is the closest to -21? (a) 3 (b) h (c) 2/9 (d) v
c
Let h = 4421/4 - 1105. Let v = 0.4 - 0.44. Which is the nearest to v? (a) -2/9 (b) h (c) 0.1
c
Let t = 1.85 + 115.15. Let h = t - 116. Let z = 0.7 + 1.3. Which is the nearest to 1? (a) 5 (b) h (c) z
b
Let r be 4/((60/(-16) + 3)*(-12)/(-9)). Which is the closest to 12? (a) r (b) -0.5 (c) 0.4 (d) 1
d
Let v(l) = 7*l - 64. Let y be v(10). Let r be (3/y)/(12/(-8)). Let k = -7 - -15. Which is the nearest to r? (a) -0.2 (b) k (c) 2
a
Let o = 34 - 16. Let x = -1.04 - -0.84. What is the closest to -0.1 in o, -3, x?
x
Let h = -200 - 353. Let a = h - -552.7. What is the closest to 0.2 in 3, 0.05, a?
0.05
Let g = -2 + 3. Let h = -130 - 488. Let q = -614 - h. Which is the closest to g? (a) -4 (b) q (c) -1
c
Let x = -1125486.36 - -1125486. Let n = -2 - -3. What is the nearest to x in 1/4, n, 0.4?
1/4
Let n = 1595 + -4783/3. Let x(g) = g**2 - 8*g + 2. Let z be x(8). Suppose -3*p = z*p. What is the closest to p in 2, 1, n?
n
Let s = -7.223 + 8.223. Let d = 0.01 - -4.99. Which is the closest to s? (a) d (b) 4 (c) 8
b
Suppose 67 = 5*z - 2*q - 0*q, 0 = 2*z - 2*q - 22. Let p = 21 - 19. Let n be (-1 - p/2) + 14/14. What is the closest to n in z, -4, -3?
-3
Let h = -2928 + 2928. Which is the nearest to h? (a) -4 (b) 41 (c) -12
a
Let x = 42875 - 42873. Suppose 5*v = -3*r - 2, 0*r = r - 4*v + 12. What is the nearest to -2 in x, r, -4/3?
-4/3
Let v = -18961.4 - -18962. Which is the closest to v? (a) -6 (b) 3/2 (c) 2
b
Suppose 8*w - 13*w = -175. Let x be ((-84)/w - -2)*(-5)/(-13). Let o = 77 + -77.4. Which is the closest to 1/2? (a) o (b) -1/17 (c) x
b
Let i be ((-1140)/8 + -4)/((-5)/2). Let f = -59 + i. Suppose -55 = 5*p - 5*q, 0 = -p - 0*p - 4*q + 4. What is the nearest
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{
"pile_set_name": "DM Mathematics"
}
|
) = -107*y**2 - 14*y**2 - 222*y**2 - 91*y + 91*y. What is f(j(z))?
117649*z**4
Let s(l) = -l**3 + 6*l**2 - 2*l - 3. Let a be s(2). Let d(b) = 15*b - 19*b - a*b. Let m(j) = -4*j. What is m(d(q))?
52*q
Let f(k) = -k**2 - 40*k. Let x(r) be the second derivative of 13*r**3/6 - 237*r + 1. What is f(x(c))?
-169*c**2 - 520*c
Let r(u) = 1422468*u**2. Let v(x) = 4*x. Give v(r(l)).
5689872*l**2
Let q(t) = -9*t**2. Let w(k) = -11672241*k**2. Give q(w(j)).
-1226170889658729*j**4
Let i(m) = 33*m - 21. Suppose -5*t - 3*u = -2*t + 18, 9 = -2*t + u. Let b(s) = -8*s + 5. Let g(q) = t*i(q) - 21*b(q). Let x(v) = -5*v. Calculate x(g(o)).
-15*o
Let q(g) = 24442*g - 505. Let y(x) = -77*x - 3. Let p(n) = 4*n - 1. Let r(l) = 5*p(l) - y(l). Let v(w) = 2*q(w) - 505*r(w). Let o(d) = -d**2. Determine o(v(c)).
-10201*c**2
Let v(r) = 9*r**2. Suppose 2*p + 5*i + 9 = 0, -2*p + 0*i - 3 = 3*i. Let x(h) = -13*h + p*h + 2*h + 5*h. Give x(v(k)).
-27*k**2
Let g(t) = -24433*t**2. Let j(m) = 36693*m**2. Determine g(j(v)).
-32896010891817*v**4
Let a(n) be the third derivative of n**4/8 - n**2. Let s(q) be the first derivative of -2*q**2 + 8*q + 11757. What is s(a(y))?
-12*y + 8
Let q(c) = -3853*c - 5 + 5 + 6802*c. Let i(l) = -2*l**2. Determine q(i(w)).
-5898*w**2
Let z(a) = -2*a - a**2 + 3*a - 3*a + 2*a. Let v(r) = 976*r**2. What is z(v(s))?
-952576*s**4
Let m(s) = 8179*s - 16355*s - 4*s**2 + 8176*s. Let v(l) = -27*l**2 - 27. Let n(a) = -1. Let b(u) = -27*n(u) + v(u). What is b(m(c))?
-432*c**4
Let y(i) be the second derivative of -i**3/6 - 7*i. Let a(f) be the first derivative of f**2/2 + 19*f + 7474. Calculate y(a(q)).
-q - 19
Let h(b) = 2*b**2. Let j(p) = 919*p**2 + 7703. Calculate j(h(a)).
3676*a**4 + 7703
Let f(w) = 5*w. Suppose -3*x = -3*g + x + 8, -2*g = -4*x - 8. Let u(q) be the second derivative of 0*q**3 - 31*q + 0 + g*q**2 + 1/12*q**4. Give f(u(z)).
5*z**2
Let i(q) = -9 + 4 + 4 - 73*q. Let v(j) = 2*j. Determine v(i(f)).
-146*f - 2
Let i(f) = -51927073*f. Let g(v) = 3*v. Determine i(g(m)).
-155781219*m
Let y(k) = k + 3*k + k - 8*k. Let u(x) = -13*x + 8. Let s(o) = -215*o + 135. Let m(i) = -3*s(i) + 50*u(i). Calculate m(y(w)).
15*w - 5
Let v(c) = c. Let o be (-548)/(-20) + 12/(-30). Suppose -o*m = -26*m. Let b(p) = -p + m - 2 + 2. Determine b(v(n)).
-n
Let l(j) = -j**2. Let c(w) = 162*w**2 - 6*w - 4. Let v(z) = 161*z**2 - 8*z - 6. Let r(k) = -4*c(k) + 3*v(k). Give l(r(o)).
-27225*o**4 - 660*o**2 - 4
Let j(b) = -682*b**2 + 478*b**2 - 223*b**2 - 1322*b**2. Let k(o) = 2*o**2. Give k(j(v)).
6118002*v**4
Let g(n) = -355170*n. Let o(y) = 4*y. Determine g(o(s)).
-1420680*s
Suppose 8*j - 15*j + 42 = 0. Let m(r) = -2 - j + 10 - 2 + r. Let d(b) = -100*b**2. What is m(d(w))?
-100*w**2
Let t(i) = 274*i + 5397. Let z(f) = 3*f. Determine t(z(w)).
822*w + 5397
Let m(k) be the first derivative of -2*k**2 - 67 + 4*k**2 - 31*k**2. Let s(x) = x**2. Give s(m(l)).
3364*l**2
Let v(h) be the second derivative of -5*h**4/6 + 1635*h. Let k(t) = -70*t**2 - t. Calculate k(v(j)).
-7000*j**4 + 10*j**2
Let n(p) = 46*p**2 + 2*p. Let j be (-11)/((-55)/20) + 109. Let m = -111 + j. Let k(u) = -2*u. Let t(s) = -s. Let x(h) = m*k(h) - 2*t(h). Calculate x(n(g)).
-92*g**2 - 4*g
Let x(j) = -j**2. Let n(a) be the first derivative of -22492*a**3/3 - 7493. What is x(n(v))?
-505890064*v**4
Let h(u) = -86*u**2 - 102*u**2 + 189*u**2. Let c(y) = 31*y**2. Give c(h(j)).
31*j**4
Let h(y) = -13*y. Let v(q) = 1661330*q. What is v(h(m))?
-21597290*m
Let a(r) = -3*r**2. Let v(g) = 33499518*g**2. Give v(a(p)).
301495662*p**4
Let a = 293 + -259. Let r(t) = -11 + 11*t**2 + a - 12*t**2. Let k(c) = -c**2. Determine r(k(u)).
-u**4 + 23
Let o(a) = 50037*a. Let i(r) = -2*r + 11. Determine i(o(v)).
-100074*v + 11
Let a(b) = 225 + 226 - 218*b - 674 + 223. Let z(o) = -o. Determine a(z(q)).
218*q
Let p(y) be the third derivative of -y**4/8 + 4*y**3/3 + 692*y**2 - 2. Let c(d) = -2*d**2 + 2 - 2. Determine c(p(n)).
-18*n**2 + 96*n - 128
Let l(v) = -961*v**2 + 13*v. Let h(c) = -30*c. Calculate l(h(o)).
-864900*o**2 - 390*o
Let v(y) = -7917*y**2. Let z(x) = 123*x + 31. Let d(j) = -8*j - 2. Let f(r) = 31*d(r) + 2*z(r). What is v(f(u))?
-31668*u**2
Let a(m) = 9*m**2 + 2. Let t(g) = -24544*g - 37*g**2 + 24544*g. Calculate t(a(o)).
-2997*o**4 - 1332*o**2 - 148
Let o(n) = -7*n. Suppose -2*b = 3*x - 128, -3*x - 10*b = -5*b - 113. Let v(j) = 23 + 76*j**2 + 23 - x - 26*j**2. What is v(o(f))?
2450*f**2
Let j(k) = -37*k**2. Let a(b) = -630*b**2. Let c be (12/15)/((-11)/(-55)). Let r(w) = c*a(w) - 70*j(w). Let z(o) = -3*o**2. Give r(z(p)).
630*p**4
Let y(w) = 18*w**2. Let s(x) = -6*x - 51. Let m be s(-9). Let z(g) = -g - 1. Let h(i) = 1. Let f(r) = m*z(r) + 3*h(r). What is f(y(t))?
-54*t**2
Let b(q) = -14*q**2. Let r(c) = 10321630*c. What is r(b(s))?
-144502820*s**2
Let i(z) = -449701*z. Let c(g) = -34*g. Determine c(i(j)).
15289834*j
Let w(t) = 18*t. Let n(g) = -2*g**2 - 6117*g + 21. What is w(n(k))?
-36*k**2 - 110106*k + 378
Let j(c) = 12*c + 16*c + 19*c - 58*c + 15*c. Let k(t) = -4*t - 33. Give j(k(q)).
-16*q - 132
Let a(z) = 7*z + 5*z + 6 - 8 + 2. Let k(n) = 8*n**2 + 7*n + 7. Let t(i) = -i**2 - i - 1. Let h(f) = 3*k(f) + 21*t(f). Calculate h(a(d)).
432*d**2
Let h(o) = -o**2. Let x(m) be the third derivative of 0*m**3 + 0*m + 0*m**4 - 14*m**2 + 0 + 2/5*m**5. What is x(h(i))?
24*i**4
Let i(o) = 3*o**2. Let u(b) be the third derivative of 37*b**4/2 - 35*b**2 + 14*b. Calculate i(u(h)).
591408*h**2
Let c(o) = -39*o + 21 + 42 + 24 - 89. Let l(j) = -j**2. Let m(t) = -t**2. Let q(y) = 4*l(y) - 5*m(y). What is q(c(p))?
1521*p**2 + 156*p + 4
Let f(l) = 4*l + 12. Let h(p) be the third derivative of 5*p**5/12 - 49*p**2 - 3. Calculate h(f(g)).
400*g**2 + 2400*g + 3600
Let c(r) = -2*r. Let i(b) be the second derivative of -23*b**7/105 - 65*b**4/4 + 222*b. Let m(d) be the third derivative of i(d). Calculate c(m(q)).
1104*q**2
Let a(f) be the first derivative of 1 + 0*f + 1/3*f**3 + 0*f**2. Let g(w) = -w + 9*w - 4*w + 5*w. Give g(a(s)).
9*s**2
Let w(p) = -232*p + 160. Let q(y) = 402*y**2. What is w(q(r))?
-93264*r**2 + 160
Suppose 9 = r + 7. Let t(i) = -6*i - 11*i - r*i. Let b(p) = p. What is b(t(c))?
-19*c
Let q(x) = x. Let k(d) be the second derivative of 16*d + 0*d**4 + 3*d**3 + 0*d**2 + 0 - 1/40*d**5. Let a(l) be the second derivative of k(l). Give q(a(i)).
-3*i
Let x(p) = -6*p + 1. Let q(z) = 87*z + 8503 + 8512 - 25518 + 8503. Determine x(q(t)).
-522*t + 1
Let x(h) = 11*h**2 - 63*h - 7. Let f(t) = t**2 - 9*t - 1. Let m(w) = 7*f(w) - x(w). Let a(g) = -2*g - 27. What is m(a(s))?
-16*s**2 - 432*s - 2916
Let a(j) = -25*j**2. Let y(n) be the second derivative of 50*n - 2 + 0*n**2 + 1/2*n**3. Determine a(y(f)).
-225*f**2
Let k(v) = -379*v. Let c(n) = -280*n**2 + 46. Give k(c(q)).
106120*q**2 - 17434
Let j(r) = -2*r**2 + 1278563*r - 6. Let l(d) = -d**2. Determine j(l(n)).
-2*n**4 - 1278563*n**2 - 6
Let p(y) = -38*y + 40*y - 322 + 322. Let t(q) = -1538*q**2. Calculate t(p(u)).
-6152*u**2
Let q(g) = -1111 + 2*g - 1112 + 2223. Let j(z) = -2125*z - 1. Calculate j(q(x)).
-4250*x - 1
Let n(o) = o**2 - 744487*o. Let w(l) = 14*l. Give w(n(m)).
14*m**2 - 10422818*m
Let c(x) = 130*x**2 + 1. Let q(m) = 26466*m. Calculate q(c(z)).
3440580*z**2 + 26466
Let q(x) = -799*x. Let v(i) = -4059*i. Determine v(q(m)).
3243141*m
Let y(r) = 61*r**2 - 47*r**2 + 15*r**2 - 2*r**2. Let h(u) = 113*u + 1. Determine y(h(v)).
344763*v**2 + 6102*v + 27
Let o(j) = 40*j**2. Let n(r) be the second derivative of 4*r**3 - 183*r - 1. What is o(n(a))?
23040*a**2
Let o(w) = -163015*w**2 - 32*w. Let r(v) = -v. Give r(o(z)).
163015*z**2 + 32*z
Let d(s) = 2*s. Let b(z) be the second derivative of -9*z**4/8 - z**3/3 - 179*z**2/2 + 3*z + 26. Let c(f) be the first derivative of b(f). Determine c(d(u)).
-54*u - 2
Let j(k) = -4*k - 5. Let q(z) = 544*z - 2. What is j(q(l))?
-2176*l + 3
Let x(q) = 971*q + 982*q - 1955*q. Let n(o) = 13*o**2 + 68*o. What is x(n(s))?
-26*s**2 - 136*s
Let o(b) = -4*b**2. Let x(g) = -68 + 41 + 2*g + 0*g - 21. Give o(x(p)).
-16*p**2 + 768*p - 9216
Let w = 276/125 + -427/250. Let d(c) be the first derivative of 0*c + w*c**2 + 45. Let j(s) = -23*s**2. Calculate j(d(r)).
-23*r**2
Let k(l) be the second derivative of -l**3/6 + l. Let i(p) = 6*p + 1914*p**2 - 1907*p**2 - 13*p. What is k(i(f
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{
"pile_set_name": "DM Mathematics"
}
|
-41*o. Determine -5*d(w) + 2*m(w).
23*w
Let p(n) = -8*n - 23. Let i(b) = -2*b - 6. Give -9*i(z) + 2*p(z).
2*z + 8
Let n(y) = 4*y + 2*y**2 - 3*y**2 - 4*y**2. Let z(g) = -g**2 + g. Suppose 4*m - m - 6 = -o, 2*m = 5*o + 38. Let x = o - -2. What is x*z(d) + n(d)?
-d**2
Let u(h) = -4*h**3 + 5*h**3 + 3*h**2 + h**3 + 8*h**3. Let z(y) = -3*y**3 - y**2. What is -2*u(q) - 7*z(q)?
q**3 + q**2
Let b(x) = -x**2 - x. Let y(g) = 3*g**3 + 3*g**2 + 7*g - 2. Give 3*b(c) + y(c).
3*c**3 + 4*c - 2
Let q be ((-6)/(-8))/(33/88). Let c(o) = 7*o + 2. Let v(k) = 8*k + 3. Give q*v(b) - 3*c(b).
-5*b
Let h(w) = -3*w**3 + 6 + 5*w**3 - w**2 - 2*w + 3*w**2 - 3*w**3. Let y(a) = 2*a**3 - 4*a**2 + 4*a - 11. Determine -11*h(b) - 6*y(b).
-b**3 + 2*b**2 - 2*b
Let t(b) = -b**2 + 6*b - 2. Let m(g) = 3*g**2 + 7*g + 2. Let l(o) = -4*o**2 - 7*o - 3. Let h(u) = -4*l(u) - 5*m(u). Determine -5*h(n) - 6*t(n).
n**2 - n + 2
Let i = -3 - -4. Let g(a) = i - a + 1 + 0 - 3. Let t(x) be the third derivative of x**4/24 + x**3/6 - x**2. What is -4*g(b) - 3*t(b)?
b + 1
Let f(r) = -3*r - 3. Let s(h) be the third derivative of -7*h**4/24 - 7*h**3/6 + 2*h**2. Give -5*f(y) + 2*s(y).
y + 1
Let r(y) = -22*y**2 - 5*y. Let u(v) = v**2 - v. Give -3*r(g) + 15*u(g).
81*g**2
Let m be (-9)/12 + 11/4. Let k(j) = j**2 - 2 - j**2 + j**2 - 5*j - m*j**2. Let s(a) = a + 0 + 0. Determine -k(o) - 6*s(o).
o**2 - o + 2
Let t(a) = 2*a + 8. Let z(v) = -v - 5. Give -5*t(s) - 8*z(s).
-2*s
Let s(v) = -v**3 + 2*v**2 - 3. Let f(a) = a**3 - 2*a**2 + 3. Calculate -2*f(w) - 3*s(w).
w**3 - 2*w**2 + 3
Let y(i) = -65*i. Let b(k) = 8*k. What is -50*b(p) - 6*y(p)?
-10*p
Let g(k) = 12*k**2 + 10*k + 10. Let d(u) be the second derivative of -u**4/12 - u**3/6 - u**2/2 - 6*u. What is -10*d(y) - g(y)?
-2*y**2
Let f(p) = 12*p**3 - 8*p**2 - 4*p. Let v(y) = -4*y**3 + 3*y**2 + y. Calculate 3*f(u) + 8*v(u).
4*u**3 - 4*u
Let f(l) be the first derivative of -7*l**2/2 - 4*l + 7. Let p(d) = -3*d - 2. Determine -2*f(y) + 5*p(y).
-y - 2
Let y(x) = -34*x + 16. Let n(h) = -17*h + 8. Let g(o) = -5*n(o) + 2*y(o). Let u = 24 - 13. Let a(k) = -6*k + 3. What is u*a(l) + 4*g(l)?
2*l + 1
Let s(n) = -1036*n**3 - 112*n**2 + 112*n + 112. Let b(u) = 28*u**3 + 3*u**2 - 3*u - 3. Give -112*b(y) - 3*s(y).
-28*y**3
Let q(r) = r**3 - 11*r - 3. Let s(a) = -a - 1. Determine -q(m) + 6*s(m).
-m**3 + 5*m - 3
Let a(f) = f**2 - 4*f + 4. Let b(j) be the first derivative of j**3/3 - 7*j**2/2 + 7*j + 13. Calculate 7*a(o) - 4*b(o).
3*o**2
Suppose 8 = -j - 12. Let i = j - -28. Let u(w) = 7*w - 8. Let k(d) = -d. Let y(p) = -5*k(p) - u(p). Let v(h) = h - 3. Determine i*v(a) + 3*y(a).
2*a
Let p(s) = -28*s**2. Let t(o) = 7*o**2. Give -6*p(n) - 26*t(n).
-14*n**2
Let y(c) = 6*c + 1. Let l be y(-2). Let b be (5 + l)*(1 - -2). Let u(o) = -4*o + 3*o + 2 - 2*o. Let g(f) = 13*f - 9. Calculate b*u(i) - 4*g(i).
2*i
Let d(g) = -4*g**3 - 7*g**2 + 5*g. Let s(i) = -5*i**3 - 6*i**2 + 4*i. Give -4*d(v) + 5*s(v).
-9*v**3 - 2*v**2
Suppose 3*a - 1 = 2. Suppose 0 = 3*y + 13 - a. Let x(q) = 2*q + 3. Let g(t) = 2*t + 2. Determine y*g(z) + 3*x(z).
-2*z + 1
Let a(m) = -5*m - 2. Let c(l) = 9*l + 4. What is -9*a(x) - 4*c(x)?
9*x + 2
Let y(n) = 17*n**3 + 11*n. Suppose -2*g + w = -7, 0 = 2*g - 2*w - 4 + 2. Let p(t) = -9*t**3 - 6*t. What is g*y(o) + 11*p(o)?
3*o**3
Let z(x) be the second derivative of x**4/12 + 5*x**2/2 + 14*x. Let v(p) = p**2 + 1. Determine -5*v(f) + z(f).
-4*f**2
Let c(r) = 10*r**3 + 12*r**2 - 10*r - 2. Let m(j) = -j**2 + 1. Let t(u) = c(u) - 4*m(u). Let d(y) = -2*y**3 - 3*y**2 + 2*y + 1. What is 16*d(q) + 3*t(q)?
-2*q**3 + 2*q - 2
Let a(v) = -7*v**2 - v + 5. Let l(o) = 1. Calculate -a(x) + 6*l(x).
7*x**2 + x + 1
Let q(z) = 5*z**2 - 2 + 0*z**2 - 2*z - 3*z**2. Let o(x) = -x**2. Calculate 3*o(m) + q(m).
-m**2 - 2*m - 2
Let l(x) = 5*x - 1 - x - 3*x. Let m = 1 + 7. Let r(w) = 4 - 1 - m*w + 3. Give -6*l(c) - r(c).
2*c
Let g(h) = 2*h**2 - 5. Let z(f) = 3*f**2 - 9. What is -11*g(a) + 6*z(a)?
-4*a**2 + 1
Let g(q) = q - 1. Let h(d) = -12*d + 9. Let c(f) = -18*g(f) - 2*h(f). Let n(p) = 13*p. Calculate 5*c(b) - 2*n(b).
4*b
Let c(n) = -39*n**2 + 5*n + 9. Let w(d) = 19*d**2 - 2*d - 4. Determine 2*c(r) + 5*w(r).
17*r**2 - 2
Let c(o) = -1. Suppose -4*l - 5 + 16 = -t, 0 = l + t + 1. Suppose 2*k - 13 = -3*x - l*k, -12 = -4*x - 4*k. Let y(n) = -n - 5. Give x*y(b) + 4*c(b).
b + 1
Let z(t) = t**2 - t - 1. Let k(l) = 2*l**2 - 5*l + 10. Calculate k(p) - 3*z(p).
-p**2 - 2*p + 13
Let r(k) = 10*k + 9. Suppose 43*m - 44*m + 2 = 0. Let w = -16 + -2. Let v(f) = f + 1. What is m*r(q) + w*v(q)?
2*q
Let x(l) = -l**3 - l**2 + l - 1. Suppose -2*y - 13 = -5*m, 5*m = 3*y - 4 + 16. Let g(t) = 6*t**3 + 3*t**2 - 3*t + 3. Give m*x(f) + g(f).
3*f**3
Let q(c) = 1. Suppose 3*o = -5 + 2. Let r(y) be the first derivative of -y**2 - 5*y + 7. What is o*r(g) - 5*q(g)?
2*g
Let t(v) = -v - 3. Let m(n) = n + 4. Let f be 2 + (-8)/(-2) + 0. Give f*t(d) + 5*m(d).
-d + 2
Let z(y) = -4*y**2 + 5*y. Let h(u) = 4*u**2 + 2*u**2 + 5*u**2 - 3*u - 9*u**2. What is -5*h(m) - 3*z(m)?
2*m**2
Let u(d) = 7*d**2 - 4*d - 4. Let w(o) = 15*o**2 - 7*o - 7. Determine -7*u(m) + 4*w(m).
11*m**2
Let c(r) = -9*r + 4. Let t(b) = 46*b - 21. Determine 11*c(h) + 2*t(h).
-7*h + 2
Let d(k) = -3*k + 4. Let j(s) = s. Let l(u) = -u + 5. Let r(b) = -2*j(b) + l(b). What is -5*d(c) + 4*r(c)?
3*c
Let m(r) = 1. Suppose x + x - 4 = 0. Let v(t) = t + t - t - x. Give -6*m(p) - 2*v(p).
-2*p - 2
Let v(a) = -a - 1. Let c(n) = 2*n**2 + 7*n + 8. Let z(q) = -2*q**2 - 7*q - 9. Let m(h) = -4*c(h) - 3*z(h). Determine m(f) - 5*v(f).
-2*f**2 - 2*f
Let g = -13 + 12. Let r(o) = o**2 + 1. Let w(x) = -5*x**2 - 4. What is g*w(b) - 4*r(b)?
b**2
Let f(j) = 44*j - 6. Let b(m) = 43*m - 5. Determine 6*b(l) - 5*f(l).
38*l
Let v(u) = -6*u - 14. Let g be (-1)/(7/4 - 2). Let d be g + -1 - (2 - 3). Let l(p) = -2*p - 5. Calculate d*v(j) - 11*l(j).
-2*j - 1
Let c(i) = -6*i**3 + i**2 - 7*i + 9. Let m(s) = 5*s**3 - s**2 + 6*s - 8. Calculate 6*c(b) + 7*m(b).
-b**3 - b**2 - 2
Let l(u) = -u - 4. Suppose 0*n - 5*n + 40 = 0. Suppose -17 = -5*p + n. Let w(v) = v + 2. Determine p*w(g) + 3*l(g).
2*g - 2
Let f(t) = 4*t**3 - 115*t - 9. Let z(b) = b**3 - 29*b - 2. Calculate -2*f(a) + 9*z(a).
a**3 - 31*a
Let a(d) = d**2. Let p(j) = 4*j**2 - j. Give 10*a(s) - 2*p(s).
2*s**2 + 2*s
Let l(w) = -w**2 + w - 3*w + 1 + 3*w + 2*w**2. Let y(c) = -14*c**2 - 12*c - 14. Determine 12*l(i) + y(i).
-2*i**2 - 2
Let r(d) = -2*d**2 + 5*d + 3. Let u(q) = -q**2 + q + 1. What is 2*r(n) - 6*u(n)?
2*n**2 + 4*n
Let w be (1/(-3))/((-5)/15). Let b(g) be the second derivative of g**3/2 + g. Let t(p) = p. Calculate w*b(l) - 4*t(l).
-l
Let i(d) = d**2 + 3*d. Suppose 4*k + 10 = 3*g, 4*g + 2*k = g + 4. Let f(v) = 3*v**2 + g*v + 6*v - v. Determine -2*f(p) + 5*i(p).
-p**2 + p
Let z(p) = 10*p**2 + 3*p - 5. Let n(y) = y**2 + y - 1. Give -5*n(s) + z(s).
5*s**2 - 2*s
Let i(d) = 2*d + 3. Let q(n) = 0*n + 41 - 3*n + 37 - 83. Determine 5*i(g) + 3*q(g).
g
Let z(r) = r - 2 + 9*r**2 + r - 3. Suppose 0*p - 2*p = 6. Let s(y) = 5*y**2 + y - 3. Calculate p*z(v) + 5*s(v).
-2*v**2 - v
Let r(k) = -k - 5. Let n(f) = -6*f - 24. Determine 2*n(h) - 11*r(h).
-h + 7
Let h(i) = i**3 + 30*i**2 + 0*i**3 - 31*i**2. Let k(b) = -2*b**3 + 3*b**2. What is 3*h(j) + k(j)?
j**3
Let n(u) = 48*u**3 - 2*u**2 + 2*u - 2. Let b(c) = -c**3 - c**2 + c - 1. Determine 2*b(i) - n(i).
-50*i**3
Let x = 125 + -136. Let q(m) = 2*m - m - 4*m - 4. Let s(r) = 8*r + 11. Give x*q(u) - 4*s(u).
u
Let n(u) = 12*u**3 - 2*u**2 + 2*u. Let m(f) = -12*f**3 + 3*f**2 - 3*f. What is 2*m(w) + 3*n(w)?
12*w**3
Let p(x) = -3*x**2 + 2*x + 1. Let z(n) = n**2 - n + 1. What is -p(d) - 2*z(d)?
d**2 - 3
Let b(k) = -13*k. Suppose 3*x + 6 - 15 = 0. Let t = -2 - 0. Let g be 18/x + (t - -1). Let h(a) = 9*a. Give g*b(u) + 7*h(u).
-2*u
Let z(y) = y - 4. Let k(q) = -q + 1. What is -2*k(o) - z(o)?
o + 2
Let n = 1 - 2. Suppose 4*c = -a - 0*a + 7, 2*c = 5*a + 31. Let z(j) = 3*j + 0*j - c*j + j. Let p(s) = s**2 - s - 1. Give n*p(g) - z(g).
-g**2 + 1
Let z(f) = 67*f - 8. Let p(s) = 17*s - 2. Calculate 9*p(v) - 2*z(v).
19*v - 2
Let p(c) = 9*c**3 - 11*c**2 - 11*c - 15. Let i(s) = -2*s**3 + 2*s**2 + 2*s + 3. Determine 11*i(z) + 2*p(z).
-4*z**3 + 3
Let m(n) = -4*n**3 - 2*n**2 + 2*n. Let c = 13 + -11. Let p(r) = -9*r**3 - 5*r**2 + 5*r. Give c*p(d) -
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is prob of sequence mk when two letters picked without replacement from {t: 1, s: 1, c: 1, x: 3, k: 10, m: 2}?
10/153
Calculate prob of sequence tjt when three letters picked without replacement from {j: 4, t: 4, o: 1, p: 1}.
1/15
Three letters picked without replacement from aaasaassaa. What is prob of sequence sss?
1/120
Four letters picked without replacement from {q: 1, y: 2, m: 4, x: 2, p: 1}. What is prob of sequence xxpq?
1/2520
What is prob of sequence bb when two letters picked without replacement from bwbvb?
3/10
Four letters picked without replacement from eeileiieei. What is prob of sequence iiie?
1/42
Two letters picked without replacement from rgcsgcor. What is prob of sequence cr?
1/14
Calculate prob of sequence hakh when four letters picked without replacement from {k: 5, a: 3, h: 4}.
1/66
What is prob of sequence jyqq when four letters picked without replacement from qjjyqjjwwwqqj?
1/286
What is prob of sequence bf when two letters picked without replacement from brwcf?
1/20
Calculate prob of sequence xgx when three letters picked without replacement from {x: 4, s: 5, g: 1, t: 1}.
2/165
Two letters picked without replacement from {b: 10, u: 4, o: 3, c: 2}. What is prob of sequence uo?
2/57
Four letters picked without replacement from wwpwpwww. What is prob of sequence wwwp?
1/7
Two letters picked without replacement from rwwbtfwwfbmfmf. Give prob of sequence bf.
4/91
Four letters picked without replacement from {n: 1, g: 18}. What is prob of sequence nggg?
1/19
Calculate prob of sequence aet when three letters picked without replacement from teetetotffat.
1/88
Two letters picked without replacement from {l: 1, z: 2}. What is prob of sequence lz?
1/3
What is prob of sequence ftgg when four letters picked without replacement from gttgqgtfgqqggr?
15/4004
Calculate prob of sequence ee when two letters picked without replacement from {e: 7, i: 2, s: 1}.
7/15
What is prob of sequence kpxn when four letters picked without replacement from {h: 4, p: 4, x: 1, n: 4, u: 4, k: 1}?
1/4590
Calculate prob of sequence ys when two letters picked without replacement from hsayhsayhytty.
2/39
What is prob of sequence jhjh when four letters picked without replacement from {h: 3, j: 7}?
1/20
Calculate prob of sequence ooma when four letters picked without replacement from {p: 1, a: 2, o: 3, m: 1}.
1/70
What is prob of sequence rz when two letters picked without replacement from sksrsszrzrz?
9/110
Two letters picked without replacement from {n: 1, c: 1, w: 1, e: 2, u: 2, p: 7}. What is prob of sequence ue?
2/91
What is prob of sequence swsq when four letters picked without replacement from wwwwqwqnswsw?
7/2970
Calculate prob of sequence nbmn when four letters picked without replacement from nmnmbbbnbbbbnpbbb.
1/238
Calculate prob of sequence qxo when three letters picked without replacement from oxxxxxquyyxqqyuu.
3/560
Four letters picked without replacement from {o: 8, r: 3, p: 7}. What is prob of sequence rrpr?
7/12240
Four letters picked without replacement from {d: 4}. What is prob of sequence dddd?
1
Three letters picked without replacement from {a: 4, g: 4, z: 6}. Give prob of sequence gzg.
3/91
Four letters picked without replacement from {x: 1, m: 1, s: 2, o: 8, g: 1, y: 1}. Give prob of sequence yoxs.
2/3003
Two letters picked without replacement from {w: 5, l: 9}. Give prob of sequence wl.
45/182
What is prob of sequence kyvz when four letters picked without replacement from {k: 1, v: 1, y: 1, j: 1, z: 1}?
1/120
Calculate prob of sequence kpaa when four letters picked without replacement from {i: 2, p: 2, a: 4, k: 2, m: 2}.
2/495
Three letters picked without replacement from jcjjjjcjcjcccc. What is prob of sequence ccj?
7/52
Three letters picked without replacement from zonoanznzoonto. What is prob of sequence ozt?
5/728
Two letters picked without replacement from sqqjqqqqqsqjqq. Give prob of sequence js.
2/91
Three letters picked without replacement from elwwewlw. What is prob of sequence lww?
1/14
Calculate prob of sequence www when three letters picked without replacement from wwwwccw.
2/7
Calculate prob of sequence mnmn when four letters picked without replacement from mnmnmmnmmmnmmnmmmmn.
65/1292
Two letters picked without replacement from {t: 11, o: 2, y: 4, k: 1, b: 1}. Give prob of sequence yk.
2/171
Four letters picked without replacement from {g: 10, s: 2, k: 2}. Give prob of sequence kkgs.
5/3003
What is prob of sequence enee when four letters picked without replacement from {n: 3, e: 17}?
2/19
Two letters picked without replacement from vvvvvvvkkvvvv. Give prob of sequence vv.
55/78
Three letters picked without replacement from {t: 1, k: 1, a: 1, b: 1, w: 1}. What is prob of sequence tkw?
1/60
Two letters picked without replacement from {a: 2, x: 7, v: 1, b: 9}. Give prob of sequence va.
1/171
Two letters picked without replacement from ebeb. What is prob of sequence eb?
1/3
What is prob of sequence xtb when three letters picked without replacement from {t: 1, f: 3, x: 1, d: 2, b: 7}?
1/312
What is prob of sequence lb when two letters picked without replacement from eeleevvb?
1/56
Two letters picked without replacement from {t: 1, a: 4, s: 1, h: 5}. Give prob of sequence hs.
1/22
What is prob of sequence mapw when four letters picked without replacement from {d: 1, a: 1, p: 3, w: 3, m: 3}?
3/880
Three letters picked without replacement from ljddjvay. What is prob of sequence vyd?
1/168
What is prob of sequence xv when two letters picked without replacement from xvxxvxxv?
15/56
What is prob of sequence xkg when three letters picked without replacement from mgmxmgpkkmxmmxmxxp?
5/1224
What is prob of sequence yy when two letters picked without replacement from {j: 2, c: 2, y: 2}?
1/15
Two letters picked without replacement from {e: 9, d: 5}. What is prob of sequence ee?
36/91
What is prob of sequence ccyo when four letters picked without replacement from {y: 2, c: 2, s: 1, o: 1}?
1/90
Four letters picked without replacement from eeeexxxssxxxxpxxxepx. What is prob of sequence spxs?
11/29070
Four letters picked without replacement from {m: 7, b: 2, l: 3, u: 7}. What is prob of sequence bmmu?
49/7752
Two letters picked without replacement from fecffeeceeffcfe. What is prob of sequence ee?
1/7
Four letters picked without replacement from jjmmm. What is prob of sequence jmmj?
1/10
Calculate prob of sequence tc when two letters picked without replacement from {c: 5, a: 2, t: 2}.
5/36
Calculate prob of sequence wfb when three letters picked without replacement from wwhhhbhhwfhwbhhwhc.
5/2448
Three letters picked without replacement from {s: 2, y: 12, e: 1, m: 4}. Give prob of sequence eee.
0
Calculate prob of sequence fkp when three letters picked without replacement from kdypkdsskfpps.
3/572
What is prob of sequence xmm when three letters picked without replacement from {x: 7, q: 1, m: 2, w: 8, i: 1}?
7/2907
Three letters picked without replacement from tplqpxs. Give prob of sequence tps.
1/105
Four letters picked without replacement from {z: 1, h: 1, x: 1, w: 1, e: 1}. Give prob of sequence zxxz.
0
Four letters picked without replacement from qosqqooootoqtoqqq. What is prob of sequence oost?
1/680
Two letters picked without replacement from yykkyrkkyk. What is prob of sequence yk?
2/9
Calculate prob of sequence hhh when three letters picked without replacement from {h: 6, v: 7}.
10/143
Three letters picked without replacement from kkmkmmkkmk. What is prob of sequence kkk?
1/6
What is prob of sequence ki when two letters picked without replacement from fkkfkpikakkfpfp?
1/35
Two letters picked without replacement from gsgsgagppgsgpgnpsppg. What is prob of sequence an?
1/380
Calculate prob of sequence fvv when three letters picked without replacement from {f: 5, v: 2}.
1/21
Four letters picked without replacement from usss. Give prob of sequence sssu.
1/4
Two letters picked without replacement from ssjfsjffffbfw. What is prob of sequence bw?
1/156
What is prob of sequence wws when three letters picked without replacement from swawsaasaaasaa?
1/273
Four letters picked without replacement from gylylllyyzlziilyyil. Give prob of sequence giii.
1/15504
What is prob of sequence puk when three letters picked without replacement from {p:
|
{
"pile_set_name": "DM Mathematics"
}
|
= 2.6 + -3. Let r = 2 - 0. What is the second smallest value in u, r, z?
u
Suppose 0*y + 254 = 2*y. Let q be ((-2)/(-12))/(5/3814). Let c = q - y. What is the smallest value in -2, c, 1/4?
-2
Let o(k) = k**2 - 6*k + 4. Let i be o(5). Which is the second smallest value? (a) -0.1 (b) 8 (c) i
a
Suppose t = 5*t - 20. Suppose 0*u = t*u + 25. Let x = 15.7 - 11.7. Which is the second smallest value? (a) u (b) x (c) -0.2
c
Let a be ((-1)/5)/(8/10). Let q = -129.7 + 130. What is the biggest value in 1, q, a?
1
Let v = -9 - -13. Let r be (5/(-15))/(v/6). Which is the biggest value? (a) 2/3 (b) -2 (c) r
a
Let x = -24/493 + -2/29. Let h = 9 - 6. Which is the second smallest value? (a) h (b) 0.2 (c) x
b
Let k = -1308/7 + 186. Let z = -1 - 1. Which is the third smallest value? (a) z (b) k (c) 1
c
Let s(h) = -h**2 - 9*h - 9. Let g be s(-8). Let p = 8.7 + -2.2. Let d = p - 7. Which is the third biggest value? (a) 0 (b) g (c) d
b
Let m = 9 - 8.1. Let l = m + 1.1. Which is the biggest value? (a) 5 (b) -7 (c) l
a
Let d(h) = h**3 - 3*h**2 + h - 1. Let c be d(3). Let f be c - (6/15 - -2). What is the third biggest value in 0, -4, f?
-4
Suppose -5*y = -3 - 12. Let m be y/(-10)*-1*-2. Which is the smallest value? (a) -1/3 (b) m (c) 0.4
b
Let z = 1519/2515 - 2/503. What is the biggest value in z, 0.2, -4, 4/3?
4/3
Let g be (-22)/(-11) - (-7)/(-4). What is the smallest value in -5, 5, g?
-5
Let r(n) = n**2 + n. Let i be r(-2). Let p = 22 - 22.3. Which is the third smallest value? (a) p (b) i (c) 3/5
b
Let v(h) = h**2 + 6*h - 8. Let s be v(-7). Let k be 3 - s*21/(-9). Which is the smallest value? (a) -3 (b) k (c) -5/4
a
Let x = -19.47 + -0.03. Let p = 20 + x. Which is the third biggest value? (a) -5 (b) 4 (c) p
a
Suppose 0 = 4*l - 0*o - 5*o + 32, 3*l + 3*o - 3 = 0. What is the third smallest value in -0.3, -0.11, 5, l?
-0.11
Let b = -0.054 + -3.946. What is the smallest value in 3/7, b, 0.06, -0.2?
b
Let k = -1.6 + 0.6. Which is the smallest value? (a) -2/9 (b) 0.4 (c) k
c
Let i = 2.02 + -0.02. Let w = -36.6 + 37. Which is the second biggest value? (a) 0.3 (b) i (c) w
c
Let a = 2.3 + -2.3. Let c = -2.1 + 2. Let x = 2 + -1.8. What is the biggest value in x, a, c?
x
Let u = 0 - -3. What is the second smallest value in 0, u, 2/5, -0.4?
0
Let f = -30/17 + 433/255. What is the third biggest value in 5, f, -3/2?
-3/2
Let s be (-5)/(-10)*6/3. Which is the third biggest value? (a) 3/2 (b) 0 (c) 0.1 (d) s
c
Let m = 0 + -2.5. Let x = m - -2. Which is the second biggest value? (a) x (b) 3/2 (c) 1
c
Let m = 2.1 - 2. Let n be 2 + 2/((-20)/771). Let k = n - -75. What is the biggest value in k, m, -0.5?
m
Let p = -266/645 - -12/43. Let c = 4.12 + -0.12. What is the smallest value in -0.2, p, c?
-0.2
Let i = 79 + -83. Let x = 0.8 + -0.3. Which is the second smallest value? (a) 0.1 (b) x (c) i
a
Let r be 2/(-6)*(-33)/(-44). What is the biggest value in -1, -3/5, r?
r
Let t = 106 + -107. What is the second smallest value in t, -0.1, 0.4, 10?
-0.1
Suppose 2*o - 4 = 6*o. What is the second smallest value in o, 0.1, -5?
o
Suppose 4*r + 3*m = 1, -4*m + 13 + 9 = -5*r. Let j = -71 + 640/9. Which is the second biggest value? (a) j (b) r (c) -0.3
c
Let g = -8 - -6. Let o = -1.7 - g. Which is the third smallest value? (a) o (b) -3/2 (c) 1/2
c
Let p = -0.4 + -0.2. Let h = -4.4 + p. Let f = 0.705 + -2.705. What is the biggest value in h, 0.1, f?
0.1
Let p = 0.7 + 1.3. Let z = 2.7 - 2.8. Which is the third biggest value? (a) 5 (b) z (c) p
b
Suppose 5*v = v - 8. Let j = 0.5 + -0.5. Which is the biggest value? (a) v (b) j (c) 3
c
Let m = -34 - -512/15. Suppose -9*x + 8*x = 0. Let l = -977/11 - -89. Which is the second smallest value? (a) l (b) x (c) m
c
Let h = -9/7 - -13/21. Which is the second smallest value? (a) h (b) 3/4 (c) 3
b
Let a = 118 + -118.5. What is the smallest value in -4, -2, a, -5?
-5
Let j be (3/(-4))/((-12)/(-37346)). Let g = j + 2341. Let n = g - 1139/168. Which is the third biggest value? (a) 0.3 (b) -0.1 (c) n
b
Let q = -0.67 + 0.17. Let t = -71/111 - 1/37. Which is the second smallest value? (a) t (b) -2 (c) q
a
Let g be 9/4 + (-1)/4. Suppose -i + g*i = -2. Let m be ((-2)/12)/((-1)/(-2)). Which is the smallest value? (a) 0.2 (b) i (c) m
b
Let z = 0.32 + -0.02. What is the third biggest value in 3, z, -5?
-5
Let o = 1 + 0.8. Let w = 5.8 - o. Which is the biggest value? (a) -3 (b) 0.12 (c) w
c
Suppose -s - 10 - 24 = 0. Let x = s + 16. Let g be 4*3/x*1. What is the second biggest value in 1, 2, g?
1
Suppose 5*d = 2*f + 3*d, -2*d + 3 = -f. Let z be -2 - (-1 - 2/f). Let h = 0.7 - 1.7. What is the smallest value in z, h, -0.2?
h
Let b = -156/5 + 31. What is the third biggest value in 4, 0.1, b?
b
Suppose 5*y - 4*d = 0, 0 = -3*y - d - d. Let q be 2/1 + (y - -2). Let p(z) = -z - 1. Let g be p(-4). Which is the second biggest value? (a) -1/5 (b) g (c) q
b
Let u = 11 + -10.94. Let f = u + -5.06. What is the second biggest value in 2/7, 3, f?
2/7
Let w be 65/(-100) - (-2)/5. Let x = 1 - 0.8. Let l be 0*(-1 + (-3)/(-2)). Which is the third biggest value? (a) w (b) l (c) x
a
Let b = -5.9 + 6. Suppose 0*r + r = 0. Suppose -2*o = -r*o. What is the second smallest value in o, b, -5?
o
Let d = 8.99 - 9. Let t = d + -0.39. Let q = t + -3.6. Which is the second biggest value? (a) 3 (b) q (c) 2
c
Let m = 0 + 0.4. Let x = m - 0.3. Let l = -11 + 7. What is the third biggest value in -0.4, x, l?
l
Let b = 6.7 - 1.7. What is the second smallest value in 2/9, -2, b?
2/9
Let n = 22/1157 + 12/89. What is the third biggest value in 2, 0.5, n?
n
Let c be (-2)/7*(-4 - -5). Let p = 0.4 + -0.3. What is the second smallest value in p, c, 5?
p
Let v = 13 - 8. What is the third biggest value in 3, v, -5?
-5
Suppose 48*r + 25 = 53*r. What is the fourth smallest value in -2/11, -4, -2/9, r?
r
Let v = 0.7 + 2.3. Let o = 1 - v. Let k = -6 - -3. Which is the second smallest value? (a) k (b) 0.4 (c) o
c
Let t be (-16)/(-12)*(-9)/66. Let d = 0.1 - 0.1. Let s = -1 + d. What is the second smallest value in -4, s, t?
s
Let i = -0.3 - -1.3. Let n = 12 - 5. Let r = -3 + n. Which is the third biggest value? (a) i (b) 2 (c) r
a
Let x be ((-204)/(-104) - 2)*4. Let d = 1019/10 + -102. What is the third biggest value in x, 2/3, d?
x
Suppose -5*w + 5 = -5. Let i = 76 + -155/2. Let g be (-3 + 1)/(-6 + -1). Which is the third biggest value? (a) w (b) i (c) g
b
Let o = 5 + -2. Let t(m) = m + 10. Let r be t(-5). Let j = -6/271 + 837/1084. Which is the second biggest value? (a) j (b) o (c) r
b
Let v = 0.24 + -0.44. What is the biggest value in -1/2, v, 2, 0.5?
2
Let u be 3/(-4)*(-5)/(45/16). What is the third biggest value in u, -5, 3/5, 4?
3/5
Let s = -3.7 - -4. Let z = 15.5 - 23. Let l = 7 + z. Which is the biggest value? (a) s (b) l (c) -4
a
Let x be 2/(-30) - 2/(-5). Let m = 6.7 + -6.6. What is the third smallest value in m, x, 0.2?
x
Let c = 211 - 190.8. Let z = 20 - c. What is the third smallest value in 3/4, 1/8, z?
3/4
Let v = 1.49 + -0.49. What is the third smallest value in -0.2, v, -1/3?
v
Let v be 308/520 - (-2)/6. Let g = v + -6/65. Let j be 20/(-15)*(-12)/32. Which is the second smallest value? (a) -0.5 (b) g (c) j
c
Let y = 27/11 - 29/11. Let i = -126 + 628/5. Which is the smallest value? (a) i (b) y (c) 2/11
a
Suppose 0 = -5*h + 4*h + 3. Suppose -3*l - 3 = h. Let k = 73/6 - 12. Which is the smallest value? (a) -1 (b) l (c) k
b
Let i = 18.1 + -19.1. What is the biggest value in -3, i, 10?
10
Suppose 0 = 4*s - 1 + 5. Let d = -41 + 41.2. Which is the smallest value? (a) d (b) 0.3 (c) s
c
Let k be 18/(-10)*(-10)/12. What is the second biggest value in 2, k, -4?
k
Let m = -4.9 - -5. Which is the fourth smallest value? (a) m (b) 1 (c) -0.5 (d) 0
b
Let v = -0.54 - 0.16. Which is the biggest value? (a) v (b) 2 (c) -2
b
Let b be 4/16*4 - -3. Suppose 3*s = -m - 11, 5 - b = 5*m + s. Let t = -105/2 - -51. What is the biggest value in -1/5, t, m?
m
Let w = -1 - 0. Let i = 0 - -0.1. What is the second biggest value in w, -3, i?
w
Let i = -0.8 - 0.2. Which is the biggest value? (a) 2/9 (b) -2/5 (c) i
a
Let z be (2/(28/2))/((-12)/36). Which is the third smallest value? (a) 0.5 (b) z (c) -31
a
Suppose 18
|
{
"pile_set_name": "DM Mathematics"
}
|
three letters picked without replacement from {y: 2, c: 3}.
1/10
Three letters picked without replacement from iiiiooi. Give prob of sequence oio.
1/21
Four letters picked without replacement from {v: 5, n: 8}. Give prob of sequence nnnv.
14/143
Two letters picked without replacement from {l: 1, d: 5, x: 1, t: 3}. Give prob of sequence dd.
2/9
Two letters picked without replacement from jnnqnqqnjqnnnnnqq. Give prob of sequence jn.
9/136
Two letters picked without replacement from {b: 2, l: 1, s: 1, r: 1}. What is prob of sequence rs?
1/20
Four letters picked without replacement from bxppxxfpxpxbbfxpviff. Give prob of sequence ivxf.
1/4845
Four letters picked without replacement from {u: 3, k: 2, r: 9, x: 2}. Give prob of sequence urxk.
9/3640
What is prob of sequence yx when two letters picked without replacement from {s: 5, g: 3, t: 2, x: 1, y: 1, z: 3}?
1/210
Three letters picked without replacement from {k: 1, o: 4, n: 5}. What is prob of sequence kno?
1/36
Calculate prob of sequence tntn when four letters picked without replacement from {n: 3, t: 9}.
2/55
Calculate prob of sequence xxl when three letters picked without replacement from {m: 5, l: 2, p: 2, a: 1, x: 4}.
1/91
Two letters picked without replacement from {p: 6}. What is prob of sequence pp?
1
Calculate prob of sequence cq when two letters picked without replacement from {c: 1, a: 3, q: 2, w: 4}.
1/45
Calculate prob of sequence qbq when three letters picked without replacement from bqq.
1/3
Three letters picked without replacement from rxxikoowokox. What is prob of sequence iow?
1/330
Three letters picked without replacement from {r: 1, g: 1, v: 2, k: 3, f: 3}. Give prob of sequence rkv.
1/120
Calculate prob of sequence qqw when three letters picked without replacement from wxelqqe.
1/105
Four letters picked without replacement from {p: 2, z: 2}. Give prob of sequence pzpz.
1/6
Four letters picked without replacement from kgakgjkggk. Give prob of sequence gagj.
1/420
Three letters picked without replacement from jmjjjjjmmj. Give prob of sequence mjj.
7/40
Calculate prob of sequence tttu when four letters picked without replacement from {u: 2, t: 8}.
2/15
Four letters picked without replacement from {d: 1, g: 3, f: 1, q: 3, a: 1, l: 2}. What is prob of sequence ggfa?
1/1320
What is prob of sequence ta when two letters picked without replacement from aqkqktaqkkqkkkkattkk?
9/380
What is prob of sequence jw when two letters picked without replacement from jwojoooooo?
1/45
Three letters picked without replacement from bbdtbzzzbbuubbbzddz. What is prob of sequence zuz?
20/2907
Three letters picked without replacement from {y: 9, o: 7}. What is prob of sequence yyo?
3/20
Two letters picked without replacement from rrpmmrpmrmmmmr. What is prob of sequence mm?
3/13
Three letters picked without replacement from {i: 7, x: 2, e: 7, y: 3}. Give prob of sequence xxi.
7/2907
Four letters picked without replacement from gjgqgnq. Give prob of sequence qqgg.
1/70
Two letters picked without replacement from fiifiiqji. What is prob of sequence fi?
5/36
Two letters picked without replacement from iviiiiviivii. Give prob of sequence vi.
9/44
Calculate prob of sequence ttt when three letters picked without replacement from ttttt.
1
What is prob of sequence umr when three letters picked without replacement from {r: 1, b: 7, u: 3, m: 3}?
3/728
Two letters picked without replacement from dldlddlddkdpdldld. What is prob of sequence kd?
5/136
What is prob of sequence uunu when four letters picked without replacement from {m: 5, n: 5, u: 3}?
1/572
What is prob of sequence em when two letters picked without replacement from {m: 3, e: 4}?
2/7
Calculate prob of sequence lj when two letters picked without replacement from jjjjljjjjjjjjjjjljj.
17/171
What is prob of sequence gyyg when four letters picked without replacement from yyyyyyyyyyyyyygyyyyg?
1/190
Calculate prob of sequence zlo when three letters picked without replacement from apploaaalpolllpzl.
1/340
What is prob of sequence yz when two letters picked without replacement from {x: 3, z: 1, f: 4, j: 2, y: 1}?
1/110
Four letters picked without replacement from jbsjbsnscsjzbs. What is prob of sequence sbcz?
5/8008
What is prob of sequence xvuu when four letters picked without replacement from vucxxxxdxuckuxxkxccc?
2/4845
Three letters picked without replacement from {l: 5, z: 3, m: 1, n: 1, s: 1}. What is prob of sequence mls?
1/198
Two letters picked without replacement from zzwmm. Give prob of sequence wz.
1/10
Three letters picked without replacement from {j: 1, w: 2, e: 3, n: 3, x: 7, l: 1}. Give prob of sequence xwj.
7/2040
Three letters picked without replacement from {z: 3, o: 17}. What is prob of sequence ozo?
34/285
Two letters picked without replacement from {i: 1, z: 1, g: 1, n: 1, o: 3}. What is prob of sequence io?
1/14
What is prob of sequence xz when two letters picked without replacement from zxzxxzzxxzxxz?
7/26
What is prob of sequence qht when three letters picked without replacement from qhljhqqqttjh?
1/55
What is prob of sequence ejm when three letters picked without replacement from jttjxemxktekeemm?
1/140
Four letters picked without replacement from {x: 4, l: 3, t: 1, k: 1, n: 9}. Give prob of sequence xkxn.
1/680
Four letters picked without replacement from iidduduuuidyduiddid. What is prob of sequence iudd?
175/11628
Calculate prob of sequence zz when two letters picked without replacement from dqkdsqzkqqedkzz.
1/35
Calculate prob of sequence ggq when three letters picked without replacement from {q: 4, g: 16}.
8/57
Calculate prob of sequence gw when two letters picked without replacement from owgpaawc.
1/28
Two letters picked without replacement from {s: 2, f: 1, g: 6, n: 4, b: 2, p: 3}. Give prob of sequence nb.
4/153
Two letters picked without replacement from wmwwmwwqwjwwwjmqmq. What is prob of sequence qq?
1/51
Two letters picked without replacement from {v: 2, p: 1}. Give prob of sequence pv.
1/3
Two letters picked without replacement from ltltlllltwltwdwr. Give prob of sequence dr.
1/240
What is prob of sequence ow when two letters picked without replacement from wccdwwwddwpwowwdwww?
11/342
Calculate prob of sequence cuu when three letters picked without replacement from cuucucuuuuc.
28/165
Four letters picked without replacement from {d: 10}. What is prob of sequence dddd?
1
Four letters picked without replacement from {m: 3, e: 1, o: 5, f: 4}. Give prob of sequence oeoo.
1/286
Four letters picked without replacement from {g: 1, s: 6, k: 1, q: 1}. What is prob of sequence sskg?
5/504
What is prob of sequence ff when two letters picked without replacement from ifffffifff?
28/45
Calculate prob of sequence ysss when four letters picked without replacement from {y: 2, s: 5, d: 9}.
1/364
Calculate prob of sequence zj when two letters picked without replacement from {t: 3, s: 1, l: 3, j: 2, z: 1}.
1/45
Two letters picked without replacement from {v: 1, n: 1, p: 1, m: 1, d: 2, r: 1}. Give prob of sequence rp.
1/42
What is prob of sequence oh when two letters picked without replacement from tghgthohotttthtgt?
1/34
Four letters picked without replacement from hhvvvvvvv. What is prob of sequence vhvv?
5/36
What is prob of sequence si when two letters picked without replacement from {s: 2, i: 9, a: 6}?
9/136
Four letters picked without replacement from {m: 2, q: 1, c: 1, a: 4}. Give prob of sequence mamq.
1/210
Three letters picked without replacement from ohhohohohhoo. Give prob of sequence ooh.
3/22
What is prob of sequence gxr when three letters picked without replacement from {v: 1, g: 1, e: 1, r: 1, x: 1}?
1/60
Calculate prob of sequence sh when two letters picked without replacement from csrrhoarhohhrhhoaohh.
2/95
What is prob of sequence zax when three letters picked without replacement from {x: 4, e: 1, a: 10, z: 5}?
5/171
Two letters picked without replacement from llvvlzvvllv. Give prob of sequence ll.
2/11
Two letters picked without replacement from {r: 2, x: 1, j: 1, o: 1, q: 2}. Give prob of sequence jo.
1/42
Two letters picked without replacement from {d: 2, j: 1, n: 2, w: 6, r: 6}. Give prob of sequence rd.
3/68
What is prob of sequence xz when two letters picked without replacement from vxzyc?
1/20
What is prob of
|
{
"pile_set_name": "DM Mathematics"
}
|
e nearest 100?
0
Let y = 60.99999928 - 61. What is y rounded to seven dps?
-0.0000007
Let n(w) = -w - 4. Let x be n(-6). Suppose -10431 = p - x*c, 2*p = -2*p + 3*c - 41734. Let k = -65435 - p. What is k rounded to the nearest 10000?
-60000
Let u = 202069.127 + -202182. Let s = -0.127 + u. Let w = s - -112.917. What is w rounded to 2 decimal places?
-0.08
Let h = -0.13 - -0.2. Let g = 0.06999988 - h. What is g rounded to seven dps?
-0.0000001
Let j = -39.42 + 39.0482. Let i = 0.36 + j. What is i rounded to 3 decimal places?
-0.012
Let l = -0.3399968 + 0.34. Round l to six dps.
0.000003
Let x(o) = 1226*o + 1 + 3722*o + 2351*o. Let q be x(1). Round q to the nearest one thousand.
7000
Let t = -506453396.2999867 + 506453368. Let o = -584 + 555.7. Let l = t - o. What is l rounded to 6 decimal places?
0.000013
Let g = 3870639 + -3870806.6153. Let f = -75.6066 - g. Let x = -92 + f. Round x to three dps.
0.009
Let h = -56827.3668805276 + -2258666.1231202424. Let y = 2315494.44 + h. Let r = y - 0.95. Round r to 7 decimal places.
-0.0000008
Let a = 0.22199893 + -0.222. What is a rounded to 7 dps?
-0.0000011
Let r = -2 + 7. Suppose 773 = r*a - 377. Round a to the nearest 100.
200
Let a(f) = f**3 + f**2 - 2*f. Let h be a(-2). Suppose m - 6*m - 265000 = h. What is m rounded to the nearest ten thousand?
-50000
Let x(j) = j**3 + 4*j**2 - 13*j - 2. Let s be x(-6). Suppose 104110 = -s*r - 383890. What is r rounded to the nearest ten thousand?
-120000
Let d = 263 + -262.674. Round d to 2 dps.
0.33
Let r = -0.05 + 4.05. Let o = -4.05 + r. Let l = o + 0.04895. What is l rounded to four dps?
-0.0011
Let r = 43 + -42.999997. Round r to six decimal places.
0.000003
Let y = -1.05 + 1. Let d = 0.05 - y. Let k = d - 0.5. Round k to 0 dps.
0
Let m = -22.2 - -20. Let l = -2.2014 - m. What is l rounded to three decimal places?
-0.001
Let z(o) = -o - 2. Let h be z(-4). Suppose -2*u + p = -u - 83, -h*u - p = -157. Round u to the nearest ten.
80
Let q = 1374 - -726. Suppose i - q = -0*i. Round i to the nearest one thousand.
2000
Let k(j) = 17*j + 12. Let q(g) = -9*g - 6. Let z(n) = -4*k(n) - 9*q(n). Let r be z(-6). Round r to the nearest 10.
-70
Let q be ((-4)/10)/((-4)/1160). Suppose q = i + 2*p + p, -2 = 2*p. Round i to the nearest 10.
120
Let b = 7.6 + -1.6. Let u = -5 + b. Let m = u - 0.98. What is m rounded to 1 decimal place?
0
Let s be (-24)/10*(8 + -3). Let x(w) = w**3 + 14*w**2 + 11*w + 10. Let n be x(s). Let h = n + -77. Round h to the nearest 10.
90
Let j = -25.04 + 17.4. Let c = j + 0.34. Let t = c + 10. What is t rounded to zero decimal places?
3
Let p = 0.0262 - -22.2738. What is p rounded to the nearest ten?
20
Let g = 115 + -115.00000119. Round g to seven decimal places.
-0.0000012
Suppose 3*s + 34760 = 6860. Round s to the nearest one thousand.
-9000
Let l = -265 - -166. Let p = -98.9999914 - l. Round p to six decimal places.
0.000009
Suppose 2*g - 4*d = -383988, 2*d + 960012 = -5*g - 2*d. Round g to the nearest 10000.
-190000
Let s = 2.72638 + -3.206. Let z = -0.48 - s. What is z rounded to four decimal places?
-0.0004
Let i = -20.1 + 20.1000174. What is i rounded to six decimal places?
0.000017
Let v = -2225 - -2343.3. What is v rounded to the nearest 10?
120
Suppose -3*j - z = -27299997, -2*z - 9312989 = -j - 212983. What is j rounded to the nearest one million?
9000000
Let j = 5.66 + -6.4. Let p = 39.74 + j. Let k = p + -39.0000076. Round k to 6 decimal places.
-0.000008
Let z = -13 - 8. Let c be (3 - (-4)/(-2)) + z. Round c to the nearest ten.
-20
Let k = 0.07 + 15.93. Let z = -2464748 - -2464763.99947. Let s = z - k. What is s rounded to 4 decimal places?
-0.0005
Let q = 33.017 + -33. Round q to three decimal places.
0.017
Let f = -37.94 + -0.06. Let h = -37.99999931 - f. What is h rounded to seven dps?
0.0000007
Suppose 5*h - 2 = -f + 7, 2*f = -2*h + 2. Suppose 3*k = z + h, 3*z + 2*z - k = -10. Let t be (-370000)/(1/(z + 4)). Round t to the nearest one hundred thousand.
-700000
Let s = -4481.5 - -16479. Let q = 11987.50112 - s. Let r = q - -10. Round r to 4 decimal places.
0.0011
Suppose -5477 = 4*a + n, 5*a + 2285 + 4577 = 4*n. Round a to the nearest 100.
-1400
Let q = -23665069.97006 - -23635800.67. Let z = q - -29270. Let v = z - 0.7. Round v to 5 dps.
-0.00006
Let i = -989.2749949 - -989.34. Let u = i - 0.065. Round u to 6 dps.
0.000005
Let v = -0.08983 + 0.09. What is v rounded to four decimal places?
0.0002
Let l(k) = 2*k**3 + 10*k**2 - 2*k + 2. Let b be l(-7). What is b rounded to the nearest 10?
-180
Let u = 3493855.06623 - 3400559.0862285. Let t = -93296 + u. Let p = t + 0.02. What is p rounded to six dps?
0.000002
Let k(l) = 2*l - 3. Let z be k(3). Let v be z/((18/43000)/(-3)). What is v rounded to the nearest one thousand?
-22000
Let a = -2.002 + 2. Let c = a + -0.041. What is c rounded to 2 decimal places?
-0.04
Let k = -6162.979988 - -6163. Let r = 5.02 - 5. Let c = r - k. Round c to 5 decimal places.
-0.00001
Let j = 0.045 + -0.04582. Round j to 4 dps.
-0.0008
Let n = -9768 - 1198323. Let x = -848091 - n. Round x to the nearest 100000.
400000
Let o = -165 + 165.142. What is o rounded to two dps?
0.14
Let o = 58.000054 + -58. Round o to five decimal places.
0.00005
Let d = 590 + -1880. What is d rounded to the nearest one thousand?
-1000
Let a = 3.928698 + -2.228691. Let z = 1.7 - a. What is z rounded to 5 dps?
-0.00001
Let t be (-2)/(-3)*3438/12. Let j = -272 + t. Round j to the nearest ten.
-80
Let z = 11831453 + -11831404.999929. Let j = z + -48. What is j rounded to five dps?
0.00007
Let k = -13 - -3. Let u = -9.99977 - k. Round u to 4 decimal places.
0.0002
Let j = -360167 - -234300. Let a = j + 50867. Round a to the nearest ten thousand.
-80000
Suppose -v = -2*s - 2, -v - 4*s + 4 = v. Suppose -v*m + 77164 = -0*m. Let q = m - 18582. Round q to the nearest one hundred thousand.
0
Let m = 4.275 - 13.2794. Let s = m + 9. Round s to three decimal places.
-0.004
Let m(y) be the first derivative of -9553*y**2 - 5*y - 1. Let d be m(-5). Suppose x - 25525 = -d. What is x rounded to the nearest ten thousand?
-70000
Let r(n) = n**3 + 15*n**2 + 16*n - 8. Let x be r(-13). What is x rounded to the nearest ten?
120
Suppose 4*h - 4*v - 277271 = 5*h, -2*h + 3*v - 554542 = 0. Let l be 544124/2*(-82)/(-4). Let r = h + l. Round r to the nearest 1000000.
5000000
Let u(z) = 158*z**2 + 3*z + 4. Let v be u(-4). Let y be (v/7)/((-6)/28). Round y to the nearest 100.
-1700
Let k = -10.219 - -10.1. Let z = k - -0.12019. Round z to 4 dps.
0.0012
Let j(n) = -n - 4. Let z be j(-7). Let g be z + -6 - (0 - -107). What is g rounded to the nearest 100?
-100
Let m = 209 - 189.8. Round m to the nearest integer.
19
Let v = 0.4 - 0.49. Let b = v - 5.91. Let o = 6.00056 + b. What is o rounded to 4 decimal places?
0.0006
Let m = -9.05 - -9. Let z = -0.0544 - m. What is z rounded to 3 dps?
-0.004
Let x = -4 + 10. Let f = x + -8.7. Let r = -2.635 - f. What is r rounded to 2 dps?
0.07
Let a = -48 + 47.9999958. What is a rounded to six decimal places?
-0.000004
Suppose -2*l - 760002 = -m - l, 0 = 5*m - 2*l - 3800004. Round m to the nearest 100000.
800000
Let t = -2.2 + -7.8. Let r = 10.00035 + t. Round r to four dps.
0.0004
Let h = -1.9000055 - -1.9. What is h rounded to 6 decimal places?
-0.000006
Let c = -13002238 - -12989309.039. Let a = 12874 + c. Let x = a + 55. Round x to two decimal places.
0.04
Let a = 3.5 + -2.2. Round a to zero decimal places.
1
Let c = 161 + -158.62. Let t = c + -2.6. Let q = t + 0.2262. Round q to three decimal places.
0.006
Let o(a) = a**3 - 10*a**2 + 8*a + 12. Let n be o(9). Let i(c) = -5*c - 102*c**2 - 7*c**2 + n + 17*c**2. Let p be i(3). What is p rounded to the nearest 100?
-800
Let d = -315.3412309 - -317.56122. Let z = -2.22 + d. What is z rounded to 6 dps?
-0.000011
Let z = -210.9224803 - -212.24056. Let d = z + 0.0819113. Let h = -1.4 + d. Round h to 6 dps.
-0.000009
Let m = 2.3085 + 0.0215. Round m to 1 dp.
2.3
Let z = -10.15 + 10.3632. Let x = 0.22 - z. What is x rounded to 3 decimal places?
0.007
Suppose 2 = 4*o + 3*l + 1, 0 = o + 4*l + 16. Suppose 0 = g - o*b + 24399984, -g - 3*b = -b + 24400008. What is g rounded to the nearest 1000000?
-24000000
Let t be (-6)/9*(-6759)/6. Suppose 4*f + 3*b - t = 0, -4*f - b + 573 = -184. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
e z(8).
-14
Let l(g) = g. Let s = 54 - 55. Let d(a) = -8*a + 1. Let k be d(s). Suppose f + k = -2*f. Calculate l(f).
-3
Let v(t) = 1. Let q(p) = p + 5. Let w(f) = -4*q(f) + 20*v(f). Suppose -21*m + 13*m = -720. Suppose -87 = -3*n - m. Give w(n).
4
Let v(q) = -q**2 + 8*q - 5. Let t be (-5*(-2)/(-25))/(1/50) + -4. Let z(a) = a**3 + 8*a**2 + 7*a. Let s be z(-6). Let b = t + s. Determine v(b).
7
Let y(a) = 202. Let h(p) = 11*p + 197. Let j(q) = -h(q) + y(q). Determine j(1).
-6
Let j = 9 + -2. Suppose 125*n = 128*n - 558. Let i(k) = -n - k - 183 + 369. Give i(j).
-7
Let f(o) be the first derivative of o**6/360 - o**5/30 - o**4/8 - 74*o**3/3 + 14. Let q(k) be the third derivative of f(k). Determine q(7).
18
Let h(d) = -2*d - 3. Let y(m) = m - 24. Suppose -4*q + 47 + 2 = -5*o, -o - 5 = 0. Let x(a) = -a + 2. Let f(k) = q*x(k) + y(k). Let l be f(-4). Calculate h(l).
-19
Let f(q) = -1. Suppose t + 7*m + 6 = 0, -29*t = -26*t + 3*m. Let o(r) = -r + 7 + 4 - 2. Let v(x) = t*o(x) + 4*f(x). Calculate v(-6).
11
Let n(r) = -3*r - 3. Suppose -9 = -6*a - 33. Let u be n(a). Let z be (u + -10)*(3 - 2). Let y(h) = -9*h**2 - h - 1. Give y(z).
-9
Let q(s) = 5*s - 5. Let o(i) = -21*i**2 - 139*i + 62. Let n be o(-7). Determine q(n).
25
Let x(r) = -r**2 + 10*r + 5. Let b(y) = -93*y - 2496. Let w be b(-27). What is x(w)?
-70
Let p = -58 + 63. Suppose -a - 177 = -i - p*a, -2*a + 531 = 3*i. Let n(x) = -1 + 8 - 5*x + i*x**2 + x**3 - 171*x**2. Calculate n(-7).
-7
Let h = -425 + 407. Let t be 76/h + ((-272)/72 - -4). Let d(r) be the first derivative of -r**3/3 - 5*r**2/2 + r + 1. Calculate d(t).
5
Let g(c) be the first derivative of c**2 + 47*c + 1788. Calculate g(-17).
13
Suppose 9*l - 4*l - 40 = -5*r, 3*r + 4*l - 29 = 0. Suppose r*u + 0 = 6. Let t(j) = 5*j + 27*j**u - 21*j**2 - 4 + j**3 + 3*j - 4*j. Calculate t(-5).
1
Let g(d) = -18*d + 7. Let s be g(2). Let x = s - -84. Suppose 0 = -5*q - 4*u - u - x, u - 37 = 5*q. Let i(o) = -o - 3. Give i(q).
5
Let m be 5 + -6 + (10 - 1). Let n(s) = -10*s + m - 13*s + 22*s. Determine n(0).
8
Let f(u) = -u**2 - 8*u + 3. Suppose 13*n - 12*n - 2 = 0. Suppose 246 + 2 = -n*s. Let a = 118 + s. What is f(a)?
15
Let s(n) = 5*n + 1. Let v(m) be the first derivative of -5*m**2/2 + 38*m + 35. Let g be v(8). Determine s(g).
-9
Let o(w) = w - 4. Let f be (22 - -3*(-3 + 4)) + 5. Let m(s) = -5*s + 139. Let q be m(f). Determine o(q).
-15
Let c(a) = 2*a**3 - 2*a**2 + 3*a - 3. Suppose 0 = 3*p + 232 - 28. Let g = 92 + p. Let s be g/10 - 7/((-140)/(-8)). Give c(s).
11
Let x(a) = -a**2 + 13*a - 22. Let n be x(11). Suppose 13*i + 23 + 29 = n. Let q(j) = j**3 + 3*j**2 - 5*j - 10. Give q(i).
-6
Let o(g) = 13*g**3 - g**2 + 2*g + 2. Let c be (13 - 14)*5 + 4. Calculate o(c).
-14
Let n = -40 + 44. Let t(m) = 12*m - 9. Let s(o) = -4*o + 6. Let p(z) = 3*s(z) + 2*t(z). Give p(n).
48
Let k be ((-48)/(-240))/(1/(-5))*-21. Let m(j) be the first derivative of 0*j**2 - 2/3*j**3 + k + j. Give m(-1).
-1
Let q(v) = -14*v**3 - 16*v**2 - v - 11. Let p(k) = -55*k**3 - 58*k**2 - 4*k - 42. Let n(w) = 3*p(w) - 11*q(w). What is n(-2)?
93
Let m(s) be the first derivative of s**2 + 6*s + 1107. Give m(-4).
-2
Let y(l) = 5*l - 4. Let n(m) = -406*m - 15. Let t be n(1). Let w = -418 - t. Give y(w).
11
Let m(u) = -8*u**3 - 2*u**2 - u. Let s = 686 + -855. Let g = 168 + s. Give m(g).
7
Let n(v) = 18*v**3 - 5*v**2 + 4*v + 2. Let h(s) = -9*s**3 + 2*s**2 - 2*s - 1. Let a(p) = -7*h(p) - 3*n(p). Suppose -2 = -5*k + 7*k. Give a(k).
-9
Let z(w) = -8*w + 2*w**2 + 3*w - 4 - w**2. Let i(f) be the second derivative of 10*f**3/3 + 93*f**2 + 133*f. Let v be i(-9). Determine z(v).
2
Let o(q) = 7*q**2 + q + 9. Let c(u) = -6*u**2 + 11*u - 6. Let f(w) = -3*w - 1. Let j(p) = c(p) + 4*f(p). Let n(r) = -6*j(r) - 5*o(r). Give n(0).
15
Let z(v) = 2*v**2 - 20*v + 29. Let b = 33930 - 33923. What is z(b)?
-13
Let y(o) = -o**3 - o**2 + 4*o - 10. Let j(v) = 5*v**3 + v**2 - 19*v + 38. Let z(b) = j(b) + 3*y(b). Give z(3).
23
Let t(u) = -u**2 + 12*u - 5. Let o(g) = -g**3 + 4*g**2 + 4*g - 4. Let w be o(4). Give t(w).
-5
Let f(o) = 9*o**3 - 6*o**2 + 3*o + 2. Let s(q) = 12*q**3 - 11*q**2 + 6*q + 3. Let b(c) = 5*f(c) - 3*s(c). Calculate b(1).
10
Let d(z) = -3*z**2 - z. Let y(g) = -g + 15. Let j be y(11). Suppose -h + 5 + 6 = -j*s, 6 = -2*s. Determine d(h).
-2
Let l(n) = n - 7. Let x(f) = -3*f - 19. Let b be x(-14). Let m(u) = -u**3 + 24*u**2 - 23*u + 3. Let k be m(b). Determine l(k).
-4
Let v(t) = t**2 + t. Let z(u) = 6*u**2 + 14*u + 8. Let j(a) = 2*a**3 + 17*a**2 - 9*a - 1. Let r be j(-9). Let f = 8 - 3. Let p(o) = f*v(o) + r*z(o). Give p(-6).
10
Let q = -33 - -35. Suppose -5 = -q*f + 49. Let b(w) = 5 + 0*w**3 + f*w + 7*w**2 - 36*w - w**3. What is b(6)?
-13
Suppose 4*c + 130 = -146. Let f = 71 + c. Let q(m) = 31*m**2 - 2*m + 8*m + 2 + 29*m**f - 59*m**2. Determine q(-7).
9
Let p = -57 + 102. Let q = p - 47. Let h = q + -5. Let y(v) = v**3 + 6*v**2 - 8*v - 7. Determine y(h).
0
Let r(x) be the first derivative of 3*x**2/2 - 3*x + 11. Suppose -h + 3*h + 4 = 0. Let g be h + (1 - (-1 - 7)). Calculate r(g).
18
Let h(k) be the first derivative of -k**3/3 - 11*k**2/2 - 3*k + 66. Let m = -1356 - -1347. Calculate h(m).
15
Let r(k) = 4*k - 2. Suppose 9*n - 5*n - 54 = -2*v, 4*n - 72 = 4*v. Suppose 7*c = -4*f + 4*c + 11, 5*f = 2*c - n. Determine r(f).
-6
Let c be 5/(-20) + 13/4. Suppose 0 = 12*j - 191 - 13. Let s(u) = j - 2*u**2 - 9 + 2*u - 3 - 3. Determine s(c).
-10
Let b(r) = 3 + 0 + 6*r**2 - 2*r - r**3 + 2*r. Suppose -12 = -329*s + 327*s. Give b(s).
3
Let p(o) = -o + 18. Let r(a) = -a + 17. Let k(i) = 4*p(i) - 3*r(i). Let s be k(0). Let n(z) = 50*z - s*z - 12*z - 16*z. Determine n(-4).
-4
Let d(n) = -224*n**3 - 21*n**2 - 8*n + 29. Let f(z) = -41*z**3 - 4*z**2 - 2*z + 6. Let s(p) = -2*d(p) + 11*f(p). Calculate s(3).
-109
Let d(u) = -5*u - 19. Let s be 1/((-6)/32)*(-270)/(-180). Give d(s).
21
Let b(y) = -y**2 - 2*y + 11. Let h = -5 + 0. Let w be b(h). Let c(t) be the first derivative of t**3/3 + 5*t**2/2 + t + 5. Give c(w).
-3
Let q(y) = 19*y - 131. Let s(r) = -48*r + 55. Let i be s(1). Let c be q(i). Let l(g) = -g + 4. Calculate l(c).
2
Let l be 139/695 + (-154)/(-5). Let i(c) = 3*c - 3 - 7*c + l + 15*c**2 - c + 3*c - c**3. Give i(15).
-2
Let t(k) = 2*k**3 - 38*k**2 - 39*k - 23. Let w = -629 + 649. Let i be t(w). Let o(l) = 4 - l + 0*l**2 - 4*l**2 - 6 - l**3. Give o(i).
-8
Let s(t) be the third derivative of -t**4/12 + 4*t**3/3 + 2*t**2. Suppose -32*m - 28 = 164. Calculate s(m).
20
Suppose 0 = 3*a - 6*a + 18. Let d(v) be the third derivative of -v**5/60 + v**4/6 + 2*v**3/3 + 141*v**2. Give d(a).
-8
Let p(d) be the third derivative of -d**4/6 - 107*d**3/6 + 577*d**2. What is p(-27)?
1
Let z(q) be the second derivative of 7*q**6/40 - q**5/60 + q**3/6 + 103*q**2/2 - 16*q. Let v(j) be the first derivative of z(j). Give v(-1).
-21
Let j(u) = -19*u**2 - 5*u - 3. Let a(t) = 5*t**2 + t. Let q(k) = 4*a(k) + j(k). Suppose -s + 3 = 6. What is q(s)?
9
Let l = 7968 + -7961. Let k(s) = -s**2 + 6*s - 12. What is k(l)?
-19
Let u(r) = 210*r + 836. Let d be u(-4). Let s(m) = 2*m + 10. Determine s(d).
2
Let l(b) = b**3 + 7*b**2 - 20*b - 14. Let d be l(-9). Let x(g) = -g + 4*g - 9 + 7 - g**2. Let v(c) = c - 1. Let j(z) = 3*v(z) + x(z). Give j(d).
3
Let h(g) = g**3 - 7*g**2 - 534*g - 165. Let t be h(27). Let n(y) = -7*y**2 - 13*y + 19. Calculate n(t).
-5
Suppose h - 42 = -6*h. Suppose -4*d = 4*g + 12, 4*d = -14 - h. Let k(p) = -3*p**3 + 6*p**2 - 4*p + 2. Let w be k(g). Let j(s) = s**2 + 9*s + 8. Calculate j(w).
-10
Let j = 0 - -5. Suppose l + j = -1. Let y(s) = -2*s**2 + s - 2. Let x(g) = 3*g**2 - 6*g + 3. Let c(u) = x(u) + 2*y(u). Give c(l).
-13
Let w(x) = 4*x + 0 - 17*x + 23 + 0*x - 7*x. What is w(0)?
23
Let o(l) = l + 3. Let d = -527 + 529. Suppose -2*h - 6 = -d*b, -4*b - 3 = 6*h - 7*h. What is o(b)?
1
Suppose 0 = -5*v + 15. Suppose 2*k - 7 = -v. Let j be 4/k*3/2. Let o(b) = -b**3 + 5*b**2 - 4*b + 4. Give o(j).
10
Let y(b) = b + 1 + 9*b**3 - 5*b**2 + 0 - 10*b**3. Suppose 3*h + 20 = 5*o, 13*o = 4*h + 9*o + 24. What is y(h)?
-4
Let i(r) = -r**3 + 7*r**2 + 32*r - 23. Suppose -307*z = 4*k - 312*z - 5, 0 = 4*k + 2*z - 54. Calculate i(k).
-3
Suppose 2947*a - 2943*a = -148. Let d be (9 + 4 + a)*2/(-8). Let k(w) = -w**2 + 3*w + 6. What is k(d)?
-12
Let q(u)
|
{
"pile_set_name": "DM Mathematics"
}
|
b + 17*b - 4*b**3 = 0?
-4, 0, 1
Let h be 2/(-4)*40/(-30). Factor 2/3*f**2 + h*f**3 + 0 - 2/3*f**4 - 2/3*f.
-2*f*(f - 1)**2*(f + 1)/3
Let k(s) be the first derivative of s**4/60 + s**3/30 - s - 4. Let z(a) be the first derivative of k(a). Suppose z(c) = 0. Calculate c.
-1, 0
Let l(d) be the third derivative of d**6/900 + d**5/300 + d**3/2 - d**2. Let p(b) be the first derivative of l(b). Factor p(o).
2*o*(o + 1)/5
Suppose 9 + 3 = 4*h. Factor 7*a**2 - 2*a + 5*a - h*a**3 - 4*a**2 + 0*a**4 - 3*a**4.
-3*a*(a - 1)*(a + 1)**2
Let c be (1 + -2)*(-10)/30. Let i(p) be the second derivative of 0*p**2 + 0 - c*p**3 + 1/10*p**5 - 1/15*p**6 + 1/6*p**4 + 2*p. Suppose i(k) = 0. Calculate k.
-1, 0, 1
Let h(a) be the third derivative of a**8/84 - a**6/15 + a**4/6 + 7*a**2. Determine d, given that h(d) = 0.
-1, 0, 1
Let -1/3*h**2 + 1/3*h + 0 = 0. What is h?
0, 1
Let h(u) = 221*u**5 + 301*u**4 + 51*u**3 - 40*u**2. Let r(z) = -111*z**5 - 151*z**4 - 26*z**3 + 20*z**2. Let n(l) = 6*h(l) + 11*r(l). Solve n(f) = 0 for f.
-1, -2/3, 0, 2/7
Let h(b) be the first derivative of -1/540*b**6 + 0*b + 0*b**2 + b**3 - 1/180*b**5 + 0*b**4 - 1. Let u(c) be the third derivative of h(c). Factor u(i).
-2*i*(i + 1)/3
Factor 4*s + 12*s**3 + 4*s**4 + 1 + 4 - 5 + 12*s**2.
4*s*(s + 1)**3
Let i(y) be the second derivative of -2*y**7/63 - 14*y**6/45 - 6*y**5/5 - 22*y**4/9 - 26*y**3/9 - 2*y**2 + 12*y. Factor i(q).
-4*(q + 1)**4*(q + 3)/3
Suppose 3*t + 5*d + 19 = 0, -2*t + d + 9 = -0*d. Let -9/4*x + 3/2*x**t + 0 - 1/4*x**3 = 0. Calculate x.
0, 3
Let w(d) be the second derivative of d**5/420 + d**4/84 - d**3/14 - 4*d**2 - 6*d. Let b(p) be the first derivative of w(p). Find j, given that b(j) = 0.
-3, 1
Suppose 5*f = 22*f. Factor -u**2 + f - 2/5*u.
-u*(5*u + 2)/5
Determine h so that -12/7 + 3/7*h**2 + 3/7*h**3 - 12/7*h = 0.
-2, -1, 2
Solve 6/5*u**5 + 39/5*u**3 - 3*u**2 - 27/5*u**4 - 9/5*u + 6/5 = 0.
-1/2, 1, 2
Let l(d) = -d**3 + 6*d**2 - 3*d - 2. Let u(a) = a**3 - 5*a**2 + 3*a + 1. Suppose 0*m - m = -3. Let n(r) = m*u(r) + 2*l(r). Factor n(b).
(b - 1)**3
Let v = -4/3 + 2. Factor -2/3*x**3 + v*x**2 - 2/3*x**4 + 0 + 2/3*x.
-2*x*(x - 1)*(x + 1)**2/3
Solve 6/5*u + 0*u**4 - 8/5*u**3 - 4/5 + 2/5*u**5 + 4/5*u**2 = 0 for u.
-2, -1, 1
Suppose 2*d + 2*d = 4, 6 = 5*p - 4*d. Suppose u + p*u - 3 - 3*u**2 + 3*u = 0. Calculate u.
1
Let d(z) be the second derivative of -3*z - 1/12*z**4 + 0 + 0*z**3 + 1/2*z**2. What is f in d(f) = 0?
-1, 1
Let v = 5861/126 - 93/2. Let u(j) be the second derivative of v*j**7 + 0*j**4 + 0*j**2 - 1/15*j**5 + 0 + 0*j**6 - 3*j + 1/9*j**3. Let u(m) = 0. Calculate m.
-1, 0, 1
Let f = 131 + -131. Let d(l) be the second derivative of -2/9*l**2 - 3*l - 1/10*l**5 + f + 8/27*l**4 - 5/27*l**3. Factor d(t).
-2*(t - 1)**2*(9*t + 2)/9
Let s be -18*3/(-6) - 1. Let y = -5 + s. Factor -7*t**4 + 4 + 5*t**2 - 5*t**3 - 4*t**y - 2 + 9*t.
-(t - 1)*(t + 1)**2*(7*t + 2)
Let p(f) be the first derivative of 3*f**4/4 + 4*f**3 + 6*f**2 + 12. Solve p(q) = 0.
-2, 0
Let f(a) be the first derivative of 1/5*a**2 + 1/15*a**3 + 1/5*a - 1. What is x in f(x) = 0?
-1
Let b be (6/10)/(-2*(-45)/100). Factor 7/3*s + b - 4/3*s**2.
-(s - 2)*(4*s + 1)/3
Let m be -1 - (-4 + 0) - 2. Let g be m + 1 + -1 + -1. Factor -4/3*v**2 + 2/3*v**5 + 0*v**3 + 4/3*v**4 - 2/3*v + g.
2*v*(v - 1)*(v + 1)**3/3
Find y, given that 42*y**2 - 35*y**3 + 28*y - 60 + 83*y**2 - 108*y = 0.
-3/7, 2
Let z(g) = 9*g**2 + 24*g - 3. Let q(s) = -10*s**2 - 23*s + 4. Let j(l) = -3*q(l) - 2*z(l). Let j(k) = 0. What is k?
-2, 1/4
Suppose -10*l + 12 = -6*l. Factor o + l*o**2 - 2*o + 0*o**2 + 7*o.
3*o*(o + 2)
Let s(h) be the third derivative of -h**8/672 + h**6/120 - h**4/48 - 17*h**2. Suppose s(y) = 0. What is y?
-1, 0, 1
Let h(v) be the second derivative of -v**9/15120 + v**8/3360 - v**7/2520 - v**4/6 - 4*v. Let l(o) be the third derivative of h(o). Let l(u) = 0. What is u?
0, 1
Let z(m) be the first derivative of -m**6/3 + 3*m**5/5 - m**4/4 - 8. Factor z(a).
-a**3*(a - 1)*(2*a - 1)
Factor -40/7*h**3 + 128/7*h - 4/7*h**4 - 96/7*h**2 + 512/7.
-4*(h - 2)*(h + 4)**3/7
Let d(k) = -k**3 - 13*k**2 + 13*k - 2. Let h be d(-14). Find c, given that 7*c**2 - 3*c**3 + 8*c**2 - c - h*c**2 + c**4 = 0.
0, 1
Let r(b) be the first derivative of -2*b**5/25 + b**4/5 - 2*b**3/15 + 5. Factor r(f).
-2*f**2*(f - 1)**2/5
Let u be 4/9*10/64. Let g(r) be the third derivative of u*r**4 + 1/360*r**6 + 1/45*r**5 + 0 + 0*r + 2*r**2 + 1/9*r**3. Factor g(b).
(b + 1)**2*(b + 2)/3
Let w(n) be the second derivative of 1/105*n**6 + 5*n + 0 + 1/70*n**5 + 0*n**2 - 1/42*n**4 - 1/21*n**3. Factor w(v).
2*v*(v - 1)*(v + 1)**2/7
Suppose 5*p - 5*o = 20, -2*p - 3*o - 8 = -3*p. Factor -5 + s + 2*s + 3 - s**2 + 0*s**p.
-(s - 2)*(s - 1)
Determine t, given that 4*t + 5*t**2 - 3*t**2 - 2*t - t**2 = 0.
-2, 0
Suppose -35 = 4*m + 3*w - 46, -w = -1. Factor -4/9*r - m*r**3 + 14/9*r**2 + 10/9*r**4 - 2/9*r**5 + 0.
-2*r*(r - 2)*(r - 1)**3/9
Suppose -4*g + 12 = -4*c + 4, -3*g + 4*c = -4. Determine p, given that g - p**2 + 4 - 3 - p - 3 = 0.
-2, 1
Factor -p + 0 - 1/2*p**3 + 7/4*p**2 - 1/4*p**4.
-p*(p - 1)**2*(p + 4)/4
Let -1176/5*v**2 + 5488/5*v - 9604/5 + 112/5*v**3 - 4/5*v**4 = 0. Calculate v.
7
Let v = -7/15 - -17/15. Determine o so that 2/9*o**2 - 2/9 - v*o**3 + 2/3*o = 0.
-1, 1/3, 1
Let n(i) be the first derivative of 3*i**5/20 + i**4/16 - i**3/4 - i**2/8 - 1. Factor n(x).
x*(x - 1)*(x + 1)*(3*x + 1)/4
Suppose -4*h = f + 4, 58*h + f + 4 = 57*h. Factor -2/7 + 2/7*b**2 + h*b.
2*(b - 1)*(b + 1)/7
Let r(b) be the third derivative of b**7/1120 + b**6/240 + b**5/160 - 2*b**3/3 - 4*b**2. Let z(o) be the first derivative of r(o). Let z(y) = 0. Calculate y.
-1, 0
Let k(n) = -4*n**4 + 4*n**2 - 3*n + 3. Let u(y) = 11*y**4 - 11*y**2 + 8*y - 8. Suppose 0 = -0*h - 2*h - 6. Let p(g) = h*u(g) - 8*k(g). Factor p(s).
-s**2*(s - 1)*(s + 1)
Let a = 1/588 - -4/49. Let d(y) be the first derivative of 1/4*y - a*y**3 + 3 - 1/16*y**4 + 1/8*y**2. Let d(z) = 0. What is z?
-1, 1
Let w(t) = t - 1. Let c(i) = -2*i**2 + 3*i + 1. Let a(d) = -c(d) - w(d). Find v, given that a(v) = 0.
0, 2
Let h(v) be the second derivative of v**5/100 - v**4/20 + v**3/10 - v**2/10 - 4*v. Suppose h(x) = 0. What is x?
1
Let h = 153 - 150. Let x(g) be the second derivative of 7/24*g**4 + 0 + 9/4*g**2 + 5/4*g**h + 1/40*g**5 + 2*g. Factor x(t).
(t + 1)*(t + 3)**2/2
Let l be ((-5)/((-825)/22))/(2/72). Determine d, given that -18/5*d**3 - 3/5*d**4 - 36/5*d**2 - l*d + 0 = 0.
-2, 0
Let l(w) = 14*w**3 + w**2 - 3. Let d(v) = 9*v**3 + v**2 - 2. Suppose 5*i + 36 = 2*i. Let b = i + 7. Let r(o) = b*l(o) + 8*d(o). Factor r(k).
(k + 1)**2*(2*k - 1)
Factor 63*j**3 - 2*j + 4*j**4 - 67*j**3 + 2*j.
4*j**3*(j - 1)
Let m(k) be the second derivative of 0 - 5/24*k**4 - 1/40*k**5 - 2/3*k**3 - k**2 + 3*k. Factor m(g).
-(g + 1)*(g + 2)**2/2
Let x(c) = -c**3 + c**2. Let d(w) = -8*w**3 + 4*w**2 - 3*w - 1. Let t(q) = 3*d(q) - 21*x(q). Factor t(i).
-3*(i + 1)**3
Let i(f) = -7*f**3 + 2*f**2 + 4*f + 5. Let m(o) = 8*o**3 - 2*o**2 - 4*o - 6. Suppose -2*c = -4*j + 22, -c = -2 + 3. Let x(s) = j*m(s) + 6*i(s). Factor x(g).
-2*g*(g - 2)*(g + 1)
Let p(b) = -4*b**3 - 3*b**2 - 15*b - 11. Let w be 3*3*(-1)/(-3). Let f(y) = 11*y**3 + 10*y**2 + 44*y + 32. Let i(l) = w*f(l) + 8*p(l). Let i(h) = 0. What is h?
-2
Let q be (-62 - -53)*1/12*-2. Solve -9/2*v**2 + q*v + 3 = 0 for v.
-2/3, 1
Let q(m) be the third derivative of 2*m**7/105 - m**6/30 - 11*m**2. Find a, given that q(a) = 0.
0, 1
Suppose 1/7*y**2 - 4/7*y - 5/7 = 0. Calculate y.
-1, 5
Let w(f) be the first derivative of 3*f**5/35 + 3*f**4/28 - 3*f**3/7 - 15*f**2/14 - 6*f/7 - 23. Solve w(u) = 0.
-1, 2
Let i(r) = 3*r + 12. Let b be i(-3). Factor 2/5*a**b + 8/5 + 2*a**2 + 16/5*a.
2*(a + 1)*(a + 2)**2/5
Let f(p) = -p**3 - 5*p**2 - 7. Let w be f(-5). Let t = w + 11. Factor -t*m - 6*m**5 + 18*m**2 + 20*m**4 - 30*m**3 - 13*m**4 + 15*m**4.
-2*m*(m - 1)**3*(3*m - 2)
Let r(t) be the second derivative of 0 + 2*t**3 + 2*t + 3/2*t**2 + 1/10*t**6 + 3/5*t**5 + 3/2*t**4. Determine o so that r(o) = 0.
-1
Let p(j) be the first derivative of 3*j + 0*j**2 + 5/48*j**4 + 1/12*j**3 + 1. Let m(g) be the first derivative of p(g). What is l in m(l) = 0?
-2/5, 0
What is n in 2*n - 214*n**3 - n**2 + 215*n**3 + 4*n**2 = 0?
-2, -1, 0
Let l(d) be the first derivative of -3*d**4/4 - 3
|
{
"pile_set_name": "DM Mathematics"
}
|
) + h(y). Is v(-7) a prime number?
False
Let k = 276478 - 59871. Is k a prime number?
True
Is 320841 - (-2 - 0)*-5 prime?
False
Let t(i) be the first derivative of 983*i**3/3 - 5*i**2/2 + 13*i - 102. Is t(-4) a prime number?
True
Let k = 801 - 443. Let z be 7 + -14 + 8 - 210. Let l = z + k. Is l a prime number?
True
Suppose 6954 = -3*p - v, 0 = -6*v + 7*v + 3. Is (22 - 20)/((-2)/p) a composite number?
True
Suppose 0 = -4*l + 5*f + 518858, 3*l - 39*f + 41*f - 389109 = 0. Is l composite?
False
Let q(p) = -208*p - 31. Let a = 90 + -99. Is q(a) a composite number?
True
Let p(r) = 97*r**2 - 233*r + 33. Is p(14) composite?
True
Is (-376)/940 - 88153*(19/(-5) + 0) prime?
False
Let m(q) = 31*q**3 - 16*q**2 + 2*q + 48. Let u be m(-14). Let b = 152613 + u. Is b a composite number?
False
Let h(r) be the second derivative of 7*r**3/3 - 29*r**2/2 - 16*r. Let z(s) = -14*s + 30. Let x(g) = 6*h(g) + 4*z(g). Is x(17) a composite number?
True
Suppose -11*h + 3*h + 7110416 = 8*h. Is h a prime number?
True
Let n = -101 + 98. Is (2 + -1)/(n/(-17367)) prime?
False
Let x(t) = 2*t**2 - 11*t - 4. Let w be x(6). Let k be -2 + 3 + w + -3. Suppose -o - 1597 = -5*q, k = -4*q - 3*o + 345 + 925. Is q composite?
True
Let j be (-36)/378 + (-6617528)/(-84). Suppose 4*x = -2*t + 165754, -t = -x - 4091 - j. Is t a composite number?
True
Suppose 20 = -3*i - 2*i - 3*v, -3*i - 3*v - 18 = 0. Is ((-3)/9)/(i/9573) a composite number?
False
Let y(d) = 2*d**3 - 230. Let f(p) = 2*p - 22. Let o be f(11). Let u be y(o). Is (u/(-1) + (-9)/(-3))*1 a prime number?
True
Suppose 745268 = 2*l - 311969 - 4849. Is l composite?
False
Let x be ((-20)/(-6) - 2)*9/3. Suppose 4*u - x*b = 6 + 22, u + 2*b = -5. Suppose -4*l = -3*a - 1487, -3*a - 2*a + 1108 = u*l. Is l a composite number?
True
Let s be (-24 + 10/5)/(-1). Let q = s - 22. Suppose 11*d - 10964 + 3627 = q. Is d a prime number?
False
Let j(b) = -b**3 + 25*b**2 + 13*b. Let q(g) = -g**3 + 26*g**2 + 14*g - 1. Let s(l) = 7*j(l) - 6*q(l). Let w = 15 - -2. Is s(w) a prime number?
False
Let t(o) = -o - 12. Let d be t(0). Let b be (-50 - -49) + (-2)/(-2). Is 4/d - b - 1412/(-6) a composite number?
True
Let k = 24 - 20. Suppose -3*j - 7 = -k. Is 2*((-7)/14)/(j/262) prime?
False
Let b = -138 - -140. Suppose 0 = 3*s + b*x - 3139 - 10404, -s + 3*x = -4496. Is s a prime number?
False
Let v(w) = 55*w**3 - w**2 - 8*w + 13. Let a be v(2). Suppose -f + 4*g + 235 = 0, -3*g + 834 + a = 5*f. Is f a prime number?
True
Suppose -5*n - 2*t = -10151401, 20*t + 6090853 = 3*n + 15*t. Is n prime?
False
Let l(b) = 4*b - 2 - 3*b - 3*b + 3. Let f(h) = 3*h + 3. Let q be f(-4). Is l(q) composite?
False
Let x(u) = 195278*u + 117. Is x(1) a composite number?
True
Suppose 63*u + 1906135 - 9692348 = 40*u. Is u a prime number?
True
Let t be 1645/20 + (-2)/8. Let c = t + 266. Suppose c = 5*k - 5*u - 422, -2*k + 298 = -4*u. Is k composite?
True
Let j = 1656497 + -780574. Is j composite?
False
Let d(p) = 5*p**2 + 88*p + 207. Let n = -316 - -278. Is d(n) a prime number?
False
Suppose -11898215 = -116*x - 1849483. Is x composite?
False
Let o(d) = 731*d - 29. Let b be o(6). Suppose 11*i - 362 = b. Suppose -t = -3*p + i, p = -5*t + 52 + 91. Is p a composite number?
True
Suppose 3*x - 9496 - 2813 - 23082 = 0. Is x a prime number?
False
Suppose 105*b - 110*b = 0. Suppose 2*w - 1345 - 2181 = b. Is w composite?
True
Let u = 16688 - -377621. Is u composite?
True
Let x = 757804 + -540671. Is x a prime number?
False
Let q be (-8)/(5/(10/4)). Let g(f) = -809*f**2 + 9*f - 9. Let n(l) = -810*l**2 + 8*l - 8. Let h(b) = q*n(b) + 3*g(b). Is h(1) composite?
True
Suppose -x + 38 = 35. Suppose -4*z = x*z - 28. Is 152 - (2 + z + -3) a composite number?
False
Let j(f) = 83*f - 190. Let g be j(6). Let x = 481 + g. Is x composite?
True
Suppose 39*q - 40*q = 0, -s = q - 101407. Is s a composite number?
True
Let o(i) = 2378*i**3 + i**2 + i - 3. Let m be o(1). Suppose f + 3*f - m = -3*l, 4*l = -4*f + 3164. Is l composite?
False
Let q be ((-124)/6)/(1*10/(-15)). Suppose q*k + 8454 = 37*k. Is k composite?
False
Let l(r) = 5301*r**2 - 20*r - 65. Is l(-4) a composite number?
True
Let t = -2458 - -30845. Is t composite?
False
Is (154884/3)/4 + -3 + -5 a composite number?
False
Let r(i) = -i + 7. Let n be r(6). Suppose -3*z - 80 = 5*o, 86 = -3*z - 0*o - 2*o. Is n/(-5) - -534*(-4)/z a composite number?
False
Let t be (-2)/9 + 40359/(-27). Let j be (11/(33/2652))/(8/(-24)). Let l = t - j. Is l composite?
True
Suppose 0 = 6*h - 2*h - u - 24, 2*h - 2*u - 12 = 0. Is (-8)/(-12) + (4292/h - -2) a prime number?
False
Suppose 3*d = 2*i - 2*d - 3981, -5*d = i - 2013. Let j = i + 847. Is j prime?
False
Let l be 1 - (0 - 12)/(-4). Let q be (-559)/39 + l/(-6). Let p(j) = -21*j + 20. Is p(q) a composite number?
True
Suppose 52 = -9*d - 173. Is (-5)/d*-2 - 20474/(-10) a prime number?
False
Let r be -2 + 99/18 + (-1)/2. Suppose -r*l - 2*w = 25, 0 = 5*w - 3 - 2. Is (l + 7)*1657/(-2) composite?
False
Suppose 3575234 = -24*x + 2*x + 15249336. Is x prime?
True
Let q = -45335 + 241714. Is q prime?
True
Let h(i) = i + 5. Let g be h(9). Suppose 19 = 4*b + 3, 4*b - g = p. Suppose 115 = u - p*k, -3*u - 5*k = 2*u - 560. Is u a prime number?
True
Let r(h) = -h**3 + 13*h**2 - 17*h - 23. Let g be r(11). Suppose -4*d = 16 - g. Suppose -4*v = d*v - 6824. Is v a prime number?
True
Let m(i) be the first derivative of 135*i**3 - 2*i**2 + 8*i + 34. Let z be m(3). Suppose -z = 7*s - 18*s. Is s prime?
True
Let n(x) = 12*x**2 + x + 4. Let z be n(-2). Suppose -51*t = -z*t + 2. Is (t - -8) + -3 - -254 composite?
False
Suppose -55*q = -60*q + 45. Suppose q*z - 4*z + 4*f - 5745 = 0, f = -5*z + 5730. Is z prime?
False
Let a(d) = -d**2 - 14*d + 2. Let z be a(-13). Let o be (-7686)/z - (-14)/35. Let w = 1363 + o. Is w a prime number?
False
Suppose 1967 - 457 = 5*s. Suppose 0 = -w - 4, s = t + 4*w - 445. Is t a composite number?
True
Suppose 2489*s - 32362 = 2478*s. Is s prime?
False
Suppose -o - 2*t - 192042 = 108582, t = 0. Is 2/23 + o/(-368) composite?
True
Let l(h) be the first derivative of -33*h + 16/3*h**3 + 15/2*h**2 + 1/4*h**4 - 12. Is l(-14) composite?
False
Suppose 10*i - 4 = 14*i. Is 515*(i + 2) + -6 prime?
True
Let h be 3*(-116)/48*-4. Let x = h + 42. Let p = x - -2322. Is p a prime number?
True
Let a(j) = 9*j**2 - 46*j + 85. Let s = -109 - -139. Is a(s) composite?
True
Let r = 119 + -95. Let y be ((320/r)/(-8))/((-1)/1101). Suppose 5*p = -5*o + y + 5890, -7711 = -5*p + 2*o. Is p prime?
True
Suppose 5*t + 12 - 27 = 0. Suppose -t*c + 5 + 10 = 0. Is 53/c + 6/15 a composite number?
False
Suppose 0 = -20*x - 246886 - 20234. Let k = x + 20293. Is k a prime number?
False
Let x(s) = 51253*s + 1326. Is x(5) a prime number?
True
Let u be (-12)/(-14)*14/4. Suppose -5*d = 2*k - 143, -5*d = -u*d - 5*k - 63. Let l = d - -1610. Is l composite?
True
Is 135230 + (4 - (-22 + 5)) a prime number?
False
Let m(j) = -j**2 - j + 3. Let d be m(0). Suppose -4*n + 3*n + 4*h + 735 = 0, -5*n - d*h + 3675 = 0. Suppose -g + 3218 = n. Is g prime?
False
Let v = -22157 - -37814. Suppose -2*f + x = -3*f + v, -46999 = -3*f + 4*x. Is f prime?
True
Suppose 0 = -2*c, -4*i = -3*c + 6*c - 881914 - 48354. Is i a composite number?
False
Suppose 17*g - 5624846 = -15*g - 1973230. Is g a prime number?
True
Let w(c) = c + 2. Let m be w(1). Let d be m/(9/12) + -1. Suppose 2*t = -d*t + 635. Is t a prime number?
True
Let a(k) = 1330649*k**2 + 184*k - 184. Is a(1) prime?
True
Let h(u) = 27*u**2 - 23*u - 46. Let p be h(-14). Let g = p + -675. Suppose 6*m = g + 6801. Is m a composite number?
False
Let c(z) = -3*z + 8. Let o(r) = 4*r - 7. Let g(k) = 5*c(k) + 4*o(k). Let s be g(9). Is 1509/2 + s/(-14) prime?
False
Let w(m) = -7*m**2 - 55. Let b(u) = 13*u**2 + 111. Let d(s) = -6*b(s) - 11*w(s). Let j be d(0). Let g = -12 - j. Is g composite?
True
Let u(b) = -2*b**3 + 7*b**2 - 2*b + 1. Let w be u(3). Let m = 4751 - 1229. Suppose -w*h = -4*k + h + m, -k - 4*h + 891 = 0. Is k a prime number?
True
Let o(i) = -4*i + 28. Let l be o(6). Suppose -l*w + 7*w = 1011. Is w prime?
True
Let m(a) = 56*a**3 + 3*a**2 - 2*a + 7. Let s be 2/(((-10)/(-35))/1). Suppose -30 = -s*b - 2. Is m(b) prime?
True
Suppose 367 = 32*n + 79. Suppose 3*v = d - 9506, 4*d + 11*v - n*v - 38038 = 0. Is d a composite number?
True
Suppos
|
{
"pile_set_name": "DM Mathematics"
}
|
*z - 16. Let g(o) = -31*o**2 + 24*o + 36. Let k(x) = -4*g(x) - 9*v(x). Let d(r) be the second derivative of -r**3/6 + 2*r. Give k(d(l)).
-11*l**2 - 3*l
Let x(a) = -306*a**2. Let u(g) = -150008*g. Give u(x(l)).
45902448*l**2
Let s(w) = -17 + 5 + 14 - w - 2. Let t(n) = 108*n. Determine t(s(f)).
-108*f
Let g(i) = -2*i. Let n(y) = 1527*y - 10. Let z(b) = 232105*b - 1525. Let h(p) = -610*n(p) + 4*z(p). Calculate g(h(s)).
6100*s
Let n(s) be the second derivative of s**3 - 793*s. Let b(o) = 37*o - 5. Give n(b(a)).
222*a - 30
Let c(s) = s. Let t = -6 + -6. Let n be (4/8)/((-3)/t). Let r(w) = 3*w + w**2 - 6*w**n - 3*w. Determine r(c(v)).
-5*v**2
Let b(i) = -5*i**2 + 3 + 309*i - 3 + 0 - 313*i. Let r(v) = -6*v**2 - 5*v. Let n(d) = -5*b(d) + 4*r(d). Let z(s) = 103*s**2. What is n(z(p))?
10609*p**4
Let h(f) = 2*f**2. Let a(z) = -z. Suppose 20*g - 5*g + 60 = 0. Let i(v) = 4*v. Suppose 0*w + 2*w + 36 = 0. Let q(l) = g*i(l) + w*a(l). What is h(q(d))?
8*d**2
Let l(y) = 3*y**2. Let s(u) = 6*u + 38. Let o be s(-7). Let k be (1 - o/(-8))*1284. Let r(t) = 642 - k - 19*t. Determine l(r(i)).
1083*i**2
Let g(c) = 9247 + 9238 + 9245 - 27730 + 5*c. Let l(v) = -14*v**2 - 20*v**2 - v**2. Give l(g(s)).
-875*s**2
Let v(g) = 8038020*g**2. Let r(j) = 5*j**2. Calculate v(r(o)).
200950500*o**4
Let z(r) = 18*r**2 + 1. Let j(n) be the second derivative of -35*n**4/3 + 11986*n. What is j(z(k))?
-45360*k**4 - 5040*k**2 - 140
Let o(x) = -18*x. Let u(r) = -14*r**2 + 569731*r. Calculate o(u(f)).
252*f**2 - 10255158*f
Let p(u) = -933*u**2. Let c(y) = 231998*y**2. Calculate c(p(x)).
201951707022*x**4
Let g(v) = 23*v**2 + 1924. Let i(b) = -112*b**2. What is g(i(z))?
288512*z**4 + 1924
Let g(c) be the third derivative of -5*c**4/24 - 4813*c**2. Let x(q) = 1220*q. What is x(g(t))?
-6100*t
Let f(k) = -1346*k. Let i(d) = -34*d - 1023. What is i(f(n))?
45764*n - 1023
Let a(b) = -9*b. Let g(k) = 10*k + 38*k - 12*k + 21*k. Calculate g(a(z)).
-513*z
Let t(d) = 3*d**2 - 2*d + 12. Let v(p) = p**2 + p - 4. Let j(r) = t(r) + 3*v(r). Let u(s) = 8*s. Give j(u(b)).
384*b**2 + 8*b
Let r(k) be the first derivative of -5 + 3*k - 6*k**2 + k - 4*k. Let g(t) = -2*t**2 + 0*t**2 - 3*t**2 + 7*t**2. Give r(g(o)).
-24*o**2
Let d(q) = -2965*q**2 + 5041*q. Let a(j) = -j**2. Give d(a(v)).
-2965*v**4 - 5041*v**2
Let q(w) = 157*w**2 + 3*w. Let j(d) = -55*d + 4. Let r(g) = -152*g + 11. Let s(f) = -11*j(f) + 4*r(f). Calculate q(s(l)).
1413*l**2 - 9*l
Let m(w) = 1718*w. Let o(l) be the first derivative of 2*l**3/3 - 1445. What is o(m(b))?
5903048*b**2
Let i(k) = -5*k**2 - 3. Let m(z) = 6. Let p(v) = v**2 - 17. Let c be (-2)/(-4)*(-80 + 8)/(-6). Let a(o) = c*p(o) + 17*m(o). What is i(a(t))?
-180*t**4 - 3
Suppose 0 = -z + 3*p + 152, -p - 128 + 808 = 5*z. Let d(j) = 4*j**2 + z - 137. Let f(y) be the second derivative of y**4/12 + 26*y. Determine d(f(r)).
4*r**4
Let u(d) = 127258 - 127258 + 930*d. Let g(s) = s. What is u(g(c))?
930*c
Let s(q) = -q. Let v(u) = -5252960*u**2. Give v(s(h)).
-5252960*h**2
Suppose 23 + 1 = 3*q. Let s(a) = -q - 9*a + 11*a + 10*a + 2*a. Let f(j) = 5*j - 3. Let b(v) = 8*f(v) - 3*s(v). Let l(n) = -14*n. Determine l(b(x)).
28*x
Let i(z) = -3*z**2. Let u(k) = k**3 - 4*k**2 + 6*k - 7. Let a be u(3). Suppose a + 2 = 2*q. Let x(l) = -2 - 5*l**2 + 2 + q*l**2. Give x(i(d)).
-27*d**4
Let g(d) = -7*d + 253. Let k(j) = 2*j**2 - 120*j. Determine g(k(z)).
-14*z**2 + 840*z + 253
Let k(h) = -3*h**2 + 5. Let z(r) = 2*r**2 - 3. Let m(s) = -3*k(s) - 5*z(s). Let b(g) = 9 - 9 - g**2. Give b(m(w)).
-w**4
Let f(x) = -3015*x. Let a(k) = 6*k**2 - 2*k - 1984. Give f(a(z)).
-18090*z**2 + 6030*z + 5981760
Let v(p) = 21*p**2 - 6. Let h(i) = 18*i**2 - 5. Let a(t) = -6*h(t) + 5*v(t). Let r(q) = 2*q + q + 2*q. Determine r(a(y)).
-15*y**2
Let b(v) = -6*v + 16. Let w(a) = -11*a - 3*a - 3*a - 4*a + 17*a. Determine w(b(k)).
24*k - 64
Let k(y) = 18*y**2. Let o(z) = -16439516*z. Calculate k(o(q)).
4864638353656608*q**2
Let v(n) = 78*n**2. Let w(j) = -2997375*j**2. Give v(w(r)).
700772037468750*r**4
Let f(y) = 2*y. Suppose -2*i = s - 21, -4*i + 215 = -4*s + 263. Let d(h) be the second derivative of -s*h - 1/6*h**3 + 0*h**2 + 0. Calculate d(f(z)).
-2*z
Let v(f) = -42*f**2 + 33*f**2 + 5*f**2. Let o(x) be the first derivative of -40*x**3/3 + 10. Determine v(o(q)).
-6400*q**4
Let z(r) = 4*r**2 + 99 - 448 + 131 + 7*r + 110. Let d(q) = -q. What is z(d(v))?
4*v**2 - 7*v - 108
Let t(q) = -3*q**2 - 4*q. Let m(w) be the third derivative of 0*w + 0*w**4 + 24*w**2 + 0*w**3 + 1/30*w**5 - 1. Calculate t(m(h)).
-12*h**4 - 8*h**2
Let t(g) = -4*g. Let k(b) = b**3 + 24*b**2 + 42*b - 13. Let o be k(-22). Let r(w) = -w + o*w + 0 + 3*w + 0. Determine r(t(p)).
-132*p
Let l(g) = -7*g. Let c(s) = 432221*s + 5024. Let a(u) = -3444*u - 40. Let v(h) = 628*a(h) + 5*c(h). What is v(l(r))?
12089*r
Let d(n) = 2*n. Let j(c) = -c**2 - c - 5. Let p(q) = -284*q**2 + 284*q + 1420. Let a(r) = 1136*j(r) + 4*p(r). What is d(a(x))?
-4544*x**2
Let u(k) = 2*k. Let l be (16 + -12)*-2*(-3 + 2). Suppose l + 16 = 2*j. Let p(f) = 0*f - 6*f + j*f. Determine u(p(g)).
12*g
Let i(m) = 2*m. Let r(q) = -4*q**2 + 11*q - 38. Let l be r(18). Let y be l/(-56) + (-4)/14. Let c(t) = -15*t + y*t - 7*t. Determine c(i(f)).
-4*f
Let g(z) = -18735*z. Let h(q) = 33*q**2 - q - 4. Give g(h(u)).
-618255*u**2 + 18735*u + 74940
Let d(t) = 21*t - 12955108 + 12955108. Let k(u) = -23*u**2. Calculate k(d(y)).
-10143*y**2
Let t(o) = -o + 139. Let i(v) = -v + 145. Let p(r) = -3*i(r) + 4*t(r). Let d(y) = y. What is d(p(b))?
-b + 121
Let i(q) be the second derivative of -299*q**4/4 - 2723*q. Let k(n) = -n**2. What is i(k(f))?
-897*f**4
Let p(z) = 19*z. Let o(b) = -2*b - 2215973. Determine o(p(k)).
-38*k - 2215973
Let s = 68 + 178. Let z(l) = -246 + 69*l + 34*l + s. Let g(q) = q**2. Determine z(g(o)).
103*o**2
Let k(n) = -745975*n. Let c(p) = -6*p**2. Calculate k(c(j)).
4475850*j**2
Let g(b) = -8*b**2 + 83*b**2 - 27*b**2 + 3*b**2. Let a(y) = 12*y**2 - 4*y - 16. Let h(x) = 10*x**2 - 3*x - 12. Let c(m) = 3*a(m) - 4*h(m). What is g(c(w))?
816*w**4
Let z(c) = 9*c**2. Let j(g) = -9 - 1461*g + 1404*g + 12. Determine z(j(w)).
29241*w**2 - 3078*w + 81
Let y(m) = -175*m + 21. Let d(k) = -16*k + 2. Let b(j) = 56*d(j) - 5*y(j). Let v(q) = 97*q**2 + 73*q**2 - 171*q**2. Give v(b(s)).
-441*s**2 + 294*s - 49
Let x(u) = 483 - 121 - 128 - 121 - 2*u - 118. Let d(y) = 15*y**2. Give d(x(q)).
60*q**2 + 300*q + 375
Let q(v) be the third derivative of v**4/12 + 3490*v**3/3 + 5223*v**2. Let x(j) = j. Give x(q(c)).
2*c + 6980
Let j(u) = -u**2. Let o(w) = -3111134*w. Give j(o(x)).
-9679154765956*x**2
Let k(w) = 8*w. Let r(b) = -7*b. Let f(c) = -4*k(c) - 5*r(c). Let a be 1 - (25094/(-12) + 1/6). Let x(d) = 2092 - 7*d**2 - a - 11*d**2. Calculate f(x(z)).
-54*z**2
Let j(g) = 2*g**2 - 4. Let o be j(8). Let n(b) = 28*b + 27*b + 32*b - o*b + 32*b. Let q(c) = 2*c**2. Give q(n(p)).
50*p**2
Let d(w) = 23407759*w**2. Let j(x) = -25*x**2. Calculate j(d(n)).
-13698079535052025*n**4
Let w(d) = 2*d. Suppose -5*p - 84 = -244. Let t(v) = -401 + p*v + 401. Give t(w(q)).
64*q
Let z(o) = -5432*o**2 + 336*o + 336. Let s(r) = 81*r**2 - 5*r - 5. Let d(h) = 336*s(h) + 5*z(h). Let u(m) = 4*m - 11. What is d(u(b))?
896*b**2 - 4928*b + 6776
Let n(g) = -3*g. Let o(s) = 5189 + 2223*s - 2528 - 2661. Calculate o(n(t)).
-6669*t
Let m(k) be the third derivative of 7*k**4/24 - k**2. Let d(x) be the second derivative of -x**4/4 + 12393*x. Calculate d(m(r)).
-147*r**2
Let w(g) = -37*g. Let n(d) be the second derivative of 5 - 1/2*d**3 + 0*d**2 + 5*d. What is n(w(t))?
111*t
Let o(z) = 6*z**2 - 2*z. Let l(d) = d. Let k(b) = -2*l(b) - o(b). Let s(w) be the first derivative of 0*w**2 + 2*w**2 + 16 + 3. What is s(k(x))?
-24*x**2
Let i(j) be the second derivative of -13*j**4/12 + j. Let v(a) = -66*a**2 + 36*a**2 - 13*a**2 + 41*a**2. Calculate v(i(h)).
-338*h**4
Let f(y) = -381*y. Let q(b) = 46074*b**2. What is f(q(l))?
-17554194*l**2
Let h(a) = 4*a - 9. Let n(o) = 100*o - 210. Let i(y) = 140*h(y) - 6*n(y). Let l(v) = -3*v + 5. Calculate i(l(g)).
120*g - 200
Let x(m) = -m**2. Let u be 18/14 + 22/(-77). Let s be u/(1/(-1)) - -1 - -9. Let q(t) = -2 + s*t - 3 + 5. Determine x(q(w)).
-81*w**2
Let u(i) = -7*i**2 - 4. Let b(r) = -27*r**2 - 58*r**2 - 23*r**2 + 7*r**2 + 19*r**2. Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
ere in 75145.22 centuries?
7514522
How many nanoseconds are there in 0.3551441 microseconds?
355.1441
How many millilitres are there in 21/8 of a litre?
2625
What is 1/10 of a tonne in kilograms?
100
Convert 250578.6 years to millennia.
250.5786
What is seven eighteenths of a day in minutes?
560
How many decades are there in 298.44 years?
29.844
What is 0.7233191 decades in months?
86.798292
How many millennia are there in 8.332787 centuries?
0.8332787
What is 3/5 of a micrometer in nanometers?
600
What is one fifth of a hour in seconds?
720
How many millilitres are there in five eighths of a litre?
625
Convert 0.6582405 decades to months.
78.98886
What is one tenth of a century in years?
10
How many months are there in 11/2 of a century?
6600
How many millimeters are there in 0.8667757cm?
8.667757
Convert 76864.5234s to weeks.
0.1270908125
How many months are there in 3/5 of a century?
720
How many litres are there in 1212.868ml?
1.212868
How many minutes are there in 45.20021 weeks?
455618.1168
How many milliseconds are there in three tenths of a minute?
18000
What is 71/3 of a century in months?
28400
How many months are there in 41/6 of a decade?
820
What is 25.099089 months in centuries?
0.0209159075
What is 5/4 of a kilogram in grams?
1250
What is twenty-one halves of a litre in millilitres?
10500
What is 7/2 of a hour in minutes?
210
What is 19/4 of a meter in centimeters?
475
What is 0.4333438 milligrams in nanograms?
433343.8
What is 196000.6ng in milligrams?
0.1960006
What is 71/3 of a minute in seconds?
1420
How many milliseconds are there in twenty-six fifths of a second?
5200
What is fifty-nine fifths of a millennium in decades?
1180
How many years are there in 3/5 of a millennium?
600
How many weeks are there in 99514.1511ms?
0.00016454059375
How many millilitres are there in eighty-eight fifths of a litre?
17600
Convert 71.83984ug to tonnes.
0.00000000007183984
Convert 90.55931cm to kilometers.
0.0009055931
What is 667846.7 days in seconds?
57701954880
What is fourty-two fifths of a day in minutes?
12096
What is 456654.1l in millilitres?
456654100
How many millilitres are there in one twentieth of a litre?
50
Convert 10.572081 nanoseconds to minutes.
0.00000000017620135
How many months are there in 47019.93 millennia?
564239160
How many millimeters are there in eleven halves of a meter?
5500
What is 6/25 of a centimeter in micrometers?
2400
How many litres are there in 478.0482ml?
0.4780482
What is 0.2679054km in centimeters?
26790.54
How many litres are there in 558847.5ml?
558.8475
Convert 901322.2 years to months.
10815866.4
What is 96031.73 nanometers in millimeters?
0.09603173
What is 341.1969ug in grams?
0.0003411969
Convert 70004.64 days to hours.
1680111.36
How many years are there in 3/5 of a century?
60
What is 5/6 of a day in seconds?
72000
What is 617852.6 grams in tonnes?
0.6178526
How many minutes are there in 135.5678 hours?
8134.068
What is twenty-one fifths of a millennium in decades?
420
How many months are there in 5/4 of a year?
15
Convert 2924.692ug to milligrams.
2.924692
What is 5/4 of a millennium in decades?
125
What is fifty-one quarters of a hour in minutes?
765
What is 4/15 of a hour in minutes?
16
What is two ninths of a day in seconds?
19200
How many kilograms are there in three fifths of a tonne?
600
How many seconds are there in thirty-seven fifths of a minute?
444
What is 3/5 of a litre in millilitres?
600
How many centimeters are there in thirty-four fifths of a meter?
680
What is 7/25 of a milligram in micrograms?
280
How many nanometers are there in five eighths of a micrometer?
625
Convert 8746.482 millilitres to litres.
8.746482
What is seventeen quarters of a year in months?
51
How many millilitres are there in 0.5084212 litres?
508.4212
How many milliseconds are there in 3/5 of a minute?
36000
Convert 22980.069us to minutes.
0.00038300115
What is 1/10 of a gram in micrograms?
100000
What is thirty-three fifths of a milligram in micrograms?
6600
How many millennia are there in 36.38251 centuries?
3.638251
How many months are there in 23/3 of a decade?
920
What is twenty-seven fifths of a decade in years?
54
How many millennia are there in 6.701723 years?
0.006701723
How many months are there in 29/6 of a millennium?
58000
What is 1/4 of a century in years?
25
What is 1/15 of a century in months?
80
How many milliseconds are there in 14488.54 hours?
52158744000
What is 3/5 of a microgram in nanograms?
600
What is 1/4 of a year in months?
3
How many millilitres are there in one twentieth of a litre?
50
What is 42172.57 tonnes in kilograms?
42172570
How many millennia are there in 0.1135486 years?
0.0001135486
How many grams are there in 3/5 of a kilogram?
600
What is 4.7771 milligrams in micrograms?
4777.1
What is 4/75 of a minute in milliseconds?
3200
How many tonnes are there in 8547.971ng?
0.000000000008547971
How many millilitres are there in 99817.6l?
99817600
How many meters are there in three fifths of a kilometer?
600
How many millimeters are there in six fifths of a centimeter?
12
Convert 0.1633025m to kilometers.
0.0001633025
How many millilitres are there in seventeen quarters of a litre?
4250
How many minutes are there in 30999.45 weeks?
312474456
How many millilitres are there in 11/4 of a litre?
2750
How many meters are there in 42/5 of a kilometer?
8400
What is 7545.228 months in millennia?
0.628769
How many milligrams are there in 4.681221 kilograms?
4681221
How many millilitres are there in 6.220249l?
6220.249
How many months are there in five eighths of a century?
750
What is 9/10 of a litre in millilitres?
900
How many tonnes are there in 2.932712kg?
0.002932712
What is one fifth of a micrometer in nanometers?
200
How many millilitres are there in 25/2 of a litre?
12500
What is 1/5 of a gram in milligrams?
200
How many micrometers are there in 442487.9 kilometers?
442487900000000
What is 7/2 of a century in decades?
35
How many millilitres are there in 42/5 of a litre?
8400
What is 774.5321 decades in years?
7745.321
How many millilitres are there in 37/2 of a litre?
18500
What is 2293.9242 months in years?
191.16035
What is 48638.4us in milliseconds?
48.6384
Convert 24.773187s to minutes.
0.41288645
How many kilometers are there in 8863.51mm?
0.00886351
What is 1667.789 milliseconds in microseconds?
1667789
Convert 967050.3 months to centuries.
805.87525
What is one tenth of a centimeter in millimeters?
1
Convert 0.3265055 hours to microseconds.
1175419800
How many millilitres are there in 13/5 of a litre?
2600
How many nanoseconds are there in 8.435977ms?
8435977
How many months are there in 13/5 of a century?
3120
What is 790.2431 millilitres in litres?
0.7902431
Convert 22211.28 years to millennia.
22.21128
What is 6/25 of a litre in millilitres?
240
How many micrograms are there in 263.4415 nanograms?
0.2634415
How many months are there in fourty-seven quarters of a decade?
1410
How many microseconds are there in 1/4 of a millisecond?
250
How many millilitres are there in six fifths of a litre?
1200
What is twenty-six fifths of a kilometer in meters?
5200
What is 15/4 of a litre in millilitres?
3750
How many minutes are there in three tenths of a day?
432
Convert 1646.2341 minutes to hours.
27.437235
What is 25/8 of a litre in millilitres?
3125
How many micrometers are there in 5275.131km?
5275131000000
How many years are there in 3/25 of a millennium?
120
How many months are there in 7/3 of a millennium?
28000
How many decades are there in 25/4 of a millennium?
625
What is 3/25 of a kilometer in meters?
120
What is 11/2 of a kilogram in grams?
5500
How many micrometers are there in 3/25 of a centimeter?
1200
What is 3/32 of a gram in micrograms?
93750
What is 51/4 of a kilogram in grams?
12750
What is 43/2 of a meter in centimeters?
2150
What is three tenths of a decade in years?
3
What is 3/40 of a milligram in micrograms?
75
What is 1/5 of a micrometer in nanometers?
200
Convert 416645.6 millennia to decades.
41664560
What is 2.786561ng in micrograms?
0.002786561
How many millimeters are there in 0.7180814m?
718.0814
What is 3380.048 grams in micrograms?
3380048000
What is twenty-one halves of a kilogram in grams?
10500
Convert 52999.06ug to tonnes.
0.000000052
|
{
"pile_set_name": "DM Mathematics"
}
|
t is the least common multiple of 2 and d?
90
Suppose -y = 3*w + 1, 12 = -7*w + 3*w + 4*y. Let g = 60803 + -3283507/54. Calculate the common denominator of (w/(-7))/(18/(-2877)) and g.
54
Find the common denominator of 17/60 and 5522/7700 - (-4 + (-154)/(-35)).
2100
Let x be 2618/(-35) + 7 - 1/5. What is the least common multiple of 36 and x/(-51)*(-81)/(-6)?
36
Let u = 92 + -90. Let z be (1/u + 15693/(-2))/2. Let s = z + 31449/8. Calculate the common denominator of s and -48/11.
88
Let m = -119 + -16. Let j = -90 - m. Calculate the smallest common multiple of 15 and j.
45
What is the smallest common multiple of ((-33)/(-6))/(188/752) and 321?
7062
Let f = -7106 + 9170. Calculate the smallest common multiple of f and 3.
2064
Let h be 4/5 + 2710/50. Calculate the lowest common multiple of 14 and (-11)/h*10/(-1).
14
Let k(m) = -2950*m + 3. Let j be k(-3). Let g = j - 239060/27. What is the common denominator of g and -25/33?
297
Let x = -37774 - -37785. Let v(p) = -6*p - 9. What is the least common multiple of x and v(-6)?
297
Let f = -393153 - -31452173/80. Find the common denominator of (2/(-6))/(128/30) and f.
320
Let j be 7/(6160/(-6449092)) + 2/(-20). Let h = j + 7329. What is the common denominator of -119/36 and h?
396
Let p(i) = -2*i - 14. Let s be p(-7). Let o be 21/(-14) - (s + 11/(-2)). Suppose 11 = -o*h + 27. What is the smallest common multiple of 6 and h?
12
Let i = 73/17 - 15189/3553. What is the common denominator of 31/572 and i?
10868
Suppose 4*t = 2*t - 6. What is the smallest common multiple of ((-6)/8)/(t/(1 - -47)) and 11 - (-8)/12*-3?
36
Suppose 2*t = -0*t + 12. What is the least common multiple of t and -8*934/(-36) - (-164)/369?
624
Let k be (-4 + 35/10)/(1/(-8)). Suppose 0 = 5*l - 0*l - 4*w - 22, k*w = 8. Suppose 25 + 23 = l*a. What is the least common multiple of 40 and a?
40
Calculate the smallest common multiple of 480 and -44*(34 - 27 - 87).
10560
Let o = 5/486 - -5303/243. What is the common denominator of o and -43/1284?
1284
Let n be -3*19 + (-5)/((-10)/4). Let a be n - (3/18)/(-1). Let b = a - -241/3. Calculate the common denominator of 67/18 and b.
18
Let v(o) = -o**3 + o**2 + 3*o. Suppose c - 680 = -c. What is the lowest common multiple of c and v(-2)?
1020
Let c = 33459 - 33274. What is the smallest common multiple of c and 111?
555
Suppose -3*d - 3*p = -39, d - 42 = -2*d - 4*p. Let v be 1404/(-10) - 9/15. Let t = v + 151. Calculate the smallest common multiple of t and d.
10
Let w = 170/11 + -3350/231. What is the common denominator of 10854/81*(-3)/(-378) and w?
63
Suppose -3*b - b = -544. Let v = -98 + b. What is the smallest common multiple of 18 and v?
342
Let y = -488736 + 209667637/429. Let a = y - -5/39. Let p = 40/437 + 20530/14421. Calculate the common denominator of a and p.
33
Find the common denominator of 0 - 1 - (-12 - 1140/(-126)) and 1/21.
21
Suppose -4*h = -3*o - 2*o + 14, 3*h + 18 = 5*o. Calculate the lowest common multiple of 14 and ((2288/(-12))/13)/((-2)/o).
308
Let t = -2329 + 2377. What is the least common multiple of t and 176?
528
Let v = 342731 + -172051027/502. What is the common denominator of v and -139/36?
9036
Let w = -52937 - -78611453/1485. Calculate the common denominator of 43/99 and w.
1485
Suppose -t - 16 = -4*i - 0, 8 = 5*t + 2*i. Find the common denominator of 8/10*((-122)/(-8) + t) and -59/3.
15
Let c(m) = -5*m**2 + 2*m**2 - 5*m - 2*m + m - 6. Let k be c(-3). Calculate the least common multiple of 14 and 18/15*(-350)/k.
28
Let w be (4/24*-2)/(1/12). Let i(n) = -3*n + 10. Let o be i(8). Calculate the least common multiple of 8/w - o/(-4)*-4 and 24.
24
Suppose 2*h + 2*h = 168. Suppose -3*x = -2*u + 18 - 822, -5*x + 5*u = -1350. What is the smallest common multiple of h and x?
1848
Let l(a) be the second derivative of 5*a**3/3 - 39*a**2/2 + 30*a. Let w be l(4). Suppose 0 = -7*t + w + 223. Calculate the lowest common multiple of t and 24.
96
Let c(r) = 16*r + 17. Let l be c(-5). Let o be l + 3 + 16/4. Let w = o + 58. What is the least common multiple of w and 7?
14
Let v = -670 - -4666/7. Suppose u = -49 - 319. Let q = u - -5883/16. What is the common denominator of v and q?
112
Calculate the common denominator of (-3 - 808/(-48))/(42/9) and -47/14.
28
Calculate the common denominator of (-609)/45*(-294)/343*30/16 and 32/1909.
7636
Suppose -2557 + 2629 = 12*d. Find the common denominator of d and -11/93.
93
Find the common denominator of (-27)/((-3645)/18)*(-516)/256 and 43/820.
6560
Suppose -5*k + a = -4, 9*a = -2*k + 4*a - 20. Find the common denominator of ((-145)/(-4))/((-36)/8) and k + ((-209)/(-28) - 4/(-14)).
36
Let d(j) = 345*j + 1410. Calculate the lowest common multiple of d(-4) and 120.
120
Calculate the smallest common multiple of 1088/60 + (-414)/3105 and 6276.
18828
Let v be (1/3)/(((-4)/12)/1). Let o = 50 - v. Suppose 0 = -2*u - 2*f + 18, -4*f - o = -5*u - 3*f. What is the lowest common multiple of 8 and u?
40
Suppose -21*n + 20 = -19*n. Suppose n*x = 44 + 36. Suppose -144 = -x*b - 0*b. What is the least common multiple of 21 and b?
126
Suppose 4*b - 1 - 3 = -d, -3*d = 3*b + 15. Find the common denominator of ((-36)/(-9) - 8) + 23/d and -61/20.
40
Suppose 1 = z - 35. Let f be (2/(-4) + 1)*(27 + -11). Suppose f*n = 11*n - 60. What is the lowest common multiple of n and z?
180
Let g(d) = -31*d - 28. Let w be g(-4). Suppose -102*p = -106*p + w. What is the lowest common multiple of 45 and p?
360
Suppose -1575 = -4*n - 3*p, 5*p = 5*n - 0*p - 1960. Suppose 355 + n = 17*q. Calculate the least common multiple of 12 and q.
132
Suppose 6*k - 107 = 157. Let f = -174 - -290. Calculate the lowest common multiple of k and f.
1276
Find the common denominator of -103/28 and ((-42)/(-98))/(4494/(-154)).
2996
Let f = 5567 - 5487. What is the smallest common multiple of 96 and f?
480
Let s be (280/(-100))/(4/(-10)). Let u(h) = -h**3 + 7*h**2 + 4*h - 16. What is the smallest common multiple of u(s) and 5?
60
Let o = 604127537/6426 - 94013. Let x = 107630/35343 - o. Calculate the common denominator of x and -57/28.
308
Let j = 596 + -583. What is the common denominator of (3/(-12))/((-5)/(-91)) and -1 + ((-1599)/(-22))/j?
220
Suppose 0*z = 4*z + z. Let m(x) = -2*x - 4 + z*x + 0*x + 20. Calculate the least common multiple of m(0) and 14.
112
Let n = 44459 + -106943. Let i = n + 5623387/90. What is the common denominator of i and -99/40?
360
Suppose 2*b = -2*l, -3*l + 3*b - 3 = 5*b. Let i = 6 + l. Let f(x) = x**2 + 8*x + 5. What is the lowest common multiple of f(-8) and i?
15
Let f(x) = 2*x**2 + 52*x + 32. Calculate the lowest common multiple of f(-28) and 936.
1872
Let a = -179 + 153. Find the common denominator of -2*a/52*(-61)/35 and -1/45.
315
Suppose 2*s = 4*c - 109624, -2*c + 34764 = -4*s - 20072. What is the lowest common multiple of 3 and c?
27402
Let x = -48560 - -24474211/504. Find the common denominator of 151/360 and x.
2520
What is the common denominator of 58/125 and -3 + 0/(-2) - (-13)/((-2275)/(-588))?
125
Suppose 6*g - 68 = -26. Suppose -4*p + 17 = 2*t - 5, p - 1 = 0. Suppose -t*j + 2 + g = 0. Calculate the lowest common multiple of 8 and j.
8
Let d(h) = 10*h - 13. Let t(s) = -5*s + 7. Let p(l) = 2*d(l) + 5*t(l). Let o = -514 - -511. Calculate the least common multiple of 2 and p(o).
24
Suppose -23*a + 2*a - 2814 = 0. Let u = 138 + a. Calculate the lowest common multiple of u and 161.
644
Let j = 3554/5 - 646413/910. Find the common denominator of 77/1170 and j.
8190
Let m be (-185)/3*14/(-1). Let i = -839 + m. Find the common denominator of -1/6 and i.
6
Let i be (10632/18 - -1) + (-4)/6. Suppose 0 = 4*y + m + i, y - 7*m = -2*m - 132. Calculate the common denominator of -11/14 and (-303)/2*(y/36 - -4).
56
Let c be -2 - (-87)/32*-454. Let s = c + 1237. What is the common denominator of s and 14 + ((-1855)/(-20))/(-7) - (-10)/(-6)?
48
Let s(c) = -11*c - 41. Let o be s(-4). Suppose -o*q + 111 = -0*q. Let t = 63 - q. Calculate the smallest common multiple of 16 and t.
208
Let v be 1631/49 - 2/7. Suppose -v = 5*k + 127. What is the common denominator of 44/7 and k/28 + 7/(196/8)?
7
Suppose -5*q - 13 + 113 = 0. Suppose -m + 6*m = -4*j + 20, q = 5*m + 5*j. Calculate the smallest common multiple of 32 and m.
32
Suppose -29*p + 32*p - 678 = 0. Suppose 8*g + p - 105
|
{
"pile_set_name": "DM Mathematics"
}
|
49680?
2*o + 49670
What is the y'th term of -1378, -1349, -1316, -1279, -1238?
2*y**2 + 23*y - 1403
What is the a'th term of -3243227, -6486456, -9729685?
-3243229*a + 2
What is the w'th term of -212682, -425345, -638008, -850671?
-212663*w - 19
What is the a'th term of 178, 178, 180, 178, 166, 138, 88?
-a**3 + 7*a**2 - 14*a + 186
What is the h'th term of -2287, -2325, -2387, -2473?
-12*h**2 - 2*h - 2273
What is the f'th term of -1427, -1468, -1511, -1556, -1603, -1652?
-f**2 - 38*f - 1388
What is the q'th term of 578, 1034, 1488, 1940, 2390?
-q**2 + 459*q + 120
What is the a'th term of -78365, -78361, -78345, -78311, -78253, -78165, -78041?
a**3 - 3*a - 78363
What is the a'th term of 181167, 181188, 181209, 181230, 181251?
21*a + 181146
What is the h'th term of 4333, 4350, 4379, 4420, 4473?
6*h**2 - h + 4328
What is the y'th term of 4890, 8349, 11808, 15267, 18726, 22185?
3459*y + 1431
What is the x'th term of 321, 497, 673, 849?
176*x + 145
What is the f'th term of 2042, 1975, 1908, 1841, 1774, 1707?
-67*f + 2109
What is the z'th term of 6936, 13892, 20870, 27882, 34940?
2*z**3 - z**2 + 6945*z - 10
What is the r'th term of 252, 894, 1960, 3450, 5364, 7702, 10464?
212*r**2 + 6*r + 34
What is the t'th term of 51, -89, -233, -381, -533?
-2*t**2 - 134*t + 187
What is the t'th term of -329, -599, -869?
-270*t - 59
What is the w'th term of 15, 28, 43, 60, 79, 100, 123?
w**2 + 10*w + 4
What is the u'th term of -83538, -83540, -83552, -83580, -83630, -83708?
-u**3 + u**2 + 2*u - 83540
What is the u'th term of 987, 1332, 1667, 1986, 2283, 2552, 2787?
-u**3 + u**2 + 349*u + 638
What is the p'th term of -1416, -2942, -4468, -5994, -7520?
-1526*p + 110
What is the x'th term of -4858, -4818, -4778?
40*x - 4898
What is the a'th term of 834237, 834233, 834227, 834219?
-a**2 - a + 834239
What is the t'th term of -146, -229, -368, -563, -814?
-28*t**2 + t - 119
What is the z'th term of 129573, 129569, 129567, 129567, 129569?
z**2 - 7*z + 129579
What is the s'th term of -9166, -9208, -9262, -9334, -9430?
-s**3 - 35*s - 9130
What is the m'th term of -40158, -80317, -120476, -160635, -200794, -240953?
-40159*m + 1
What is the q'th term of -140, -860, -2152, -4016, -6452, -9460, -13040?
-286*q**2 + 138*q + 8
What is the d'th term of 139, 172, 225, 298?
10*d**2 + 3*d + 126
What is the k'th term of -2756, -22096, -74614, -176900, -345544, -597136?
-2765*k**3 + k**2 + 12*k - 4
What is the l'th term of -4280, -4264, -4248, -4232?
16*l - 4296
What is the l'th term of 513, 830, 945, 852, 545?
-l**3 - 95*l**2 + 609*l
What is the x'th term of 2686, 10866, 24536, 43696, 68346, 98486, 134116?
2745*x**2 - 55*x - 4
What is the o'th term of -425718, -425729, -425740?
-11*o - 425707
What is the y'th term of -36471, -36465, -36459, -36453, -36447, -36441?
6*y - 36477
What is the a'th term of -1467, -1376, -1225, -1014?
30*a**2 + a - 1498
What is the u'th term of 32452, 32453, 32454, 32455?
u + 32451
What is the z'th term of 6025, 11751, 17479, 23209?
z**2 + 5723*z + 301
What is the k'th term of -43872, -43881, -43896, -43917, -43944?
-3*k**2 - 43869
What is the h'th term of -1530, -1608, -1686, -1764, -1842?
-78*h - 1452
What is the u'th term of -5075, -5062, -5049?
13*u - 5088
What is the v'th term of 40859, 40860, 40861, 40862, 40863?
v + 40858
What is the u'th term of 3301, 3328, 3405, 3556, 3805, 4176, 4693, 5380?
4*u**3 + u**2 - 4*u + 3300
What is the o'th term of -35329, -35328, -35327?
o - 35330
What is the x'th term of 264, 710, 1156?
446*x - 182
What is the t'th term of 985, 1969, 2965, 3979, 5017, 6085, 7189, 8335?
t**3 + 977*t + 7
What is the h'th term of -82124, -82123, -82122, -82121, -82120?
h - 82125
What is the v'th term of 1452, 5680, 12732, 22608, 35308, 50832, 69180?
1412*v**2 - 8*v + 48
What is the a'th term of 14881, 14878, 14875, 14872, 14869, 14866?
-3*a + 14884
What is the z'th term of 216, 415, 614, 813?
199*z + 17
What is the c'th term of -11437, -22853, -34269, -45685, -57101, -68517?
-11416*c - 21
What is the t'th term of -19, -10, 63, 230, 521, 966, 1595?
5*t**3 + 2*t**2 - 32*t + 6
What is the v'th term of -231, -391, -549, -711, -883, -1071, -1281?
-v**3 + 7*v**2 - 174*v - 63
What is the u'th term of 865327, 865324, 865321, 865318?
-3*u + 865330
What is the t'th term of -151, -617, -1389, -2467, -3851, -5541?
-153*t**2 - 7*t + 9
What is the f'th term of -129, -594, -1401, -2556, -4065, -5934, -8169?
-f**3 - 165*f**2 + 37*f
What is the g'th term of 11777, 11766, 11741, 11696, 11625, 11522?
-g**3 - g**2 - g + 11780
What is the q'th term of -32, 218, 444, 634, 776?
-2*q**3 + 264*q - 294
What is the a'th term of 7909, 7916, 7923, 7930?
7*a + 7902
What is the o'th term of -1984, -1996, -2016, -2044, -2080, -2124, -2176?
-4*o**2 - 1980
What is the k'th term of -46, -72, -110, -166, -246?
-k**3 - 19*k - 26
What is the f'th term of 114, 167, 212, 243, 254, 239, 192?
-f**3 + 2*f**2 + 54*f + 59
What is the v'th term of -50591, -50585, -50579?
6*v - 50597
What is the p'th term of -1476, -5892, -13260, -23586, -36876?
-p**3 - 1470*p**2 + p - 6
What is the q'th term of -479, -1909, -4293, -7631, -11923?
-477*q**2 + q - 3
What is the r'th term of 44, 79, 126, 191, 280, 399, 554, 751?
r**3 + 28*r + 15
What is the l'th term of 49968, 49977, 49994, 50025, 50076?
l**3 - 2*l**2 + 8*l + 49961
What is the v'th term of -254, -927, -2390, -5039, -9270?
-66*v**3 + v**2 - 214*v + 25
What is the g'th term of -52, -168, -326, -502, -672, -812, -898, -906?
4*g**3 - 45*g**2 - 9*g - 2
What is the h'th term of 87087, 174181, 261275, 348369, 435463, 522557?
87094*h - 7
What is the x'th term of -735, -2899, -6501, -11541, -18019?
-719*x**2 - 7*x - 9
What is the f'th term of -41954, -41969, -41990, -42017?
-3*f**2 - 6*f - 41945
What is the y'th term of 395379, 790752, 1186125, 1581498, 1976871?
395373*y + 6
What is the w'th term of -105126, -210243, -315360, -420477?
-105117*w - 9
What is the d'th term of -30016, -30013, -30000, -29971, -29920?
d**3 - d**2 - d - 30015
What is the w'th term of -80, -681, -2314, -5495, -10740, -18565?
-86*w**3 + w + 5
What is the s'th term of 10252, 20618, 30972, 41308, 51620?
-s**3 + 10373*s - 120
What is the l'th term of 254, 523, 788, 1049?
-2*l**2 + 275*l - 19
What is the g'th term of 6572, 26394, 59464, 105782, 165348, 238162, 324224?
6624*g**2 - 50*g - 2
What is the z'th term of -4020, -4012, -4004, -3996?
8*z - 4028
What is the b'th term of -234571, -469141, -703711, -938281?
-234570*b - 1
What is the w'th term of 952, 1929, 2926, 3949, 5004, 6097?
w**3 + 4*w**2 + 958*w - 11
What is the w'th term of 1402, 1332, 1198, 1000, 738?
-32*w**2 + 26*w + 1408
What is the f'th term of -839, -585, -319, -35, 273, 611?
f**3 + 247*f - 1087
What is the j'th term of -3648, -3648, -3644, -3636, -3624, -3608?
2*j**2 - 6*j - 3644
What is the p'th term of -761, -3144, -7169, -12836, -20145, -29096, -39689?
-821*p**2 + 80*p - 20
What is the p'th term of 4, -45, -178, -425, -816, -1381?
-5*p**3 - 12*p**2 + 22*p - 1
What is the w'th term of 601672, 601676, 601680?
4*w + 601668
What is the b'th term of -30251, -30258, -30275, -30308, -30363, -30446, -30563?
-b**3 + b**2 - 3*b - 30248
What is the i'th term of 976471, 976467, 976461, 976453, 976443?
-i**2 - i + 976473
What is the u'th term of -9, 180, 799, 2070, 4215?
37*u**3 - 7*u**2 - 49*u + 10
What is the f'th term of -137222, -137223, -137224?
-f - 137221
What is the l'th term of -2283, -4695, -7107?
-2412*l + 129
What is the v'th term of 5052, 10139, 15226?
5087*v - 35
What is the f'th term of -23, -91, -217, -395, -619, -883?
f**3 - 35*f**2 + 30*f - 19
What is the j'th term of 835, 3457, 7859, 14053, 22051, 31865?
2*j**3 + 878*j**2 - 26*j - 19
What is the r'th term of 2516, 9952, 22346, 39698, 62008, 89276?
2479*r**2 - r + 38
What is the w'th term of 38222, 38225, 38228?
3*w + 38219
What is the d'th term of 6754, 6777, 6796, 6811, 6822?
-2*d**2 + 29*d + 6727
What is the p'th term of -687, -2727, -6127, -10887?
-680*p**2 - 7
What is the i'th term of 2000, 14444, 48224, 114008, 222464, 384260?
1778*i**3 - 2*i + 224
What is the u'th term of -11, -39, -123, -275, -507, -831, -1259?
-2*u**3 - 16*u**2 + 34*u - 27
What is the q'th term of -7703, -7722, -7753, -7802, -7875, -7978, -8117, -8298?
-q**3 - 12*q - 7690
|
{
"pile_set_name": "DM Mathematics"
}
|
e of 34/(23 + -32 - -7)?
-17
(-15 - (-129)/6 - -13)*(-4)/6
-13
What is the value of 68/36 + 1 + 6/(-2)?
-1/9
(196/(-65) - -3)*(-65)/13
1/13
Evaluate (3/21)/((-1020)/1428).
-1/5
What is (3 + (-14)/6)*(17 - (4 - 11))?
16
What is the value of (48 + (19 - 55))/(-3)?
-4
What is ((-3)/36)/(71/(-1136))*7/(-532)?
-1/57
Calculate (4/(-12) - 4)/(-6 + 10 + -5).
13/3
Calculate (1/(-2) - 1)*19/((-513)/(-72)).
-4
Evaluate 0 + (-774)/(-99) + -8.
-2/11
What is 1/3 - (15 - 22)*(-3)/9?
-2
What is the value of 7/3*(-186)/279?
-14/9
Calculate (2/(6 + -8))/(8/20*5).
-1/2
Evaluate 1 - (40/(-50) - -2).
-1/5
Evaluate 3380/(-120) + 17 - -13.
11/6
Evaluate 45250/(-19005) + 8/3.
2/7
Calculate (-35)/(525/90) + (9 - 1).
2
What is the value of ((-704)/(-66) - 10)/(4/(-18))?
-3
Evaluate 5*(20/(-22) - (-9)/(54/6)).
5/11
(20/(-720))/(14/84)
-1/6
Calculate (10/(-175))/2*-9 + 15/25.
6/7
What is the value of (76/(-152))/(2 + 42/(-20))?
5
(715/165)/((-136)/240 + 1)
10
What is -19 + 79/((-10665)/(-2646))?
3/5
9 - (-3618)/(-360) - (-9)/30
-3/4
What is (1/4)/(6/216)?
9
What is the value of -1 + (4/16)/(6/((-288)/(-6)))?
1
((-672)/(-768))/((21/(-12))/(-1))
1/2
What is (7 + 12)/19*(-12)/(-3)?
4
Evaluate -16*(30/55 + (-59)/88).
2
Calculate (8/(-30))/((-573)/(-955)).
-4/9
Calculate (2/(-16))/((-1085)/(-5208)).
-3/5
What is the value of (-12)/22 - (1 - 2736/176)?
14
What is (71 + -70)*(-3 - (10/1 + -2))?
-11
Evaluate (5 - 1328/(-272)) + 30/(-3).
-2/17
Evaluate -5*(138/(-115) - (-6)/2).
-9
Evaluate ((-96)/(-30))/((-3)/(-30)*-4).
-8
(-58485)/(-27293) - (-10)/4*(-4)/14
10/7
What is the value of (-136)/(-10) + (-1545)/15 + 88?
-7/5
14 + -30 + -16 + 21
-11
Calculate 652/489 + (4 - (-167)/(-33)*1).
3/11
Calculate 90/(-3978) - 51/(-289).
2/13
What is the value of (-12 + 1128/96)/((-31)/8 + 1)?
2/23
2376/2970 - 13/35
3/7
What is 11*(31 - (-2261)/(-77))?
18
What is 155/(-341)*(5 + (-260)/8) + -9?
7/2
What is the value of ((-205)/(-205))/(6/(-21))?
-7/2
What is (-269000)/191250 - 7/(-5) - (-8)/68?
1/9
Evaluate (-5 + 2 + -1)/(-25 - 837/(-33)).
-11
Calculate 6 - 7/(77/69).
-3/11
Calculate 253*20/(-11 + 231).
23
What is the value of (-50)/(12 - 2)*(2 - 3)?
5
231/9*282/5170
7/5
What is (27/12)/((-51)/(-136))?
6
What is the value of (1/(-42))/(9 + (-125)/20 + -3)?
2/21
Calculate (-91)/70 - -1 - (-240)/(-200).
-3/2
Evaluate (119/(-126) - -1)*3*0.
0
Calculate (-2)/(-25) + (-798)/1225.
-4/7
What is -7 + 11 + (-792)/204?
2/17
(57 + -51 - 45/7)/1*-56
24
(20/(-11))/(186/(-1023))
10
Calculate -5 - (-7 + 662/94) - (-4 - 1).
-2/47
What is (1580/441610)/((-1)/13)?
-2/43
What is -4 - ((-1740)/(-270) + -10)?
-4/9
Calculate ((-10268)/(-510) - 2/15)/((-6)/9).
-30
Evaluate -64 + 43 - 1756/(-84).
-2/21
What is the value of 14/(7/1) + (-11 - (-12)/(-2))?
-15
Evaluate ((-39)/(-9) - 7)*324/(-144).
6
What is the value of (-3036)/552*(-18)/33?
3
Calculate (-18)/(-5)*(-20)/16*(-68)/18.
17
Calculate 2*(-42)/48*(-51 + 47).
7
What is the value of 328158/16377 - (19 - -1)?
2/53
(-24)/320*28 - ((-24)/(-20))/(-2)
-3/2
Evaluate (-12)/(-18)*3*(3/(-2) + 4).
5
Calculate 630/(-45)*(-1)/63.
2/9
((-36)/5)/(12/30)
-18
2*4/(-6)*14961/(-289246)
2/29
Evaluate 6/(-8) + (-30567)/1772.
-18
(-13)/(13/(-56))*-3*10/(-105)
16
-1*(8 - (-5551)/(-693)) + (-12)/(-22)
5/9
(3 - 12) + 176/11
7
Evaluate -4*3/2*2.
-12
Calculate ((-666)/592)/((-6)/(-8)).
-3/2
(276/621)/((-6)/351)
-26
((-41)/((-1025)/100))/(1/(-4))
-16
What is the value of -2*(-9 + 10 - -6)?
-14
Calculate -1 + 46/(-5) - 90/(-9).
-1/5
Calculate -6 + 3059/462 + 4/6*-1.
-1/22
What is the value of (280/28 + 25/(-3))*(2 - 5)?
-5
Calculate 15*17/(-340)*8 - 3.
-9
Evaluate (-1785)/153*(-6)/(-10) - (-14)/3.
-7/3
What is ((-2)/18*-9)/(((-2)/(-26))/(-1))?
-13
What is the value of (-2 - (-3780)/(-375) - -2) + 10?
-2/25
What is 1 - -4 - (-2 - (-20)/32 - -6)?
3/8
Calculate 1918/(-154) - -13 - (-84)/88.
3/2
Calculate 2001/6670*((-1)/(-3) + -1).
-1/5
Evaluate ((-98)/(-42))/((-1)/(-6)).
14
What is the value of 78/(-7) + 12948/1079?
6/7
What is ((-64)/12*1)/(-8 + (-104)/(-12))?
-8
(-54)/(-153)*17 - (-114)/6*1
25
What is the value of (28/(-2))/2 + 3808/(-196) + 27?
4/7
((-21)/(-67 - -4))/(7/(-36))
-12/7
((-52)/24)/13 - (275/(-210) + 2)
-6/7
What is the value of (-72)/(-16)*56/12?
21
What is 18/16*(-28480)/(-1335)?
24
What is 18/((-20)/10) - -6 - 26/(-14)?
-8/7
What is (-14 + -5 + 18)/(2/(-52))?
26
What is (-52)/169 + (-2)/13?
-6/13
Calculate (((-8832)/(-288))/23)/(152/(-78) - -2).
26
Evaluate ((-78)/845)/(48/80).
-2/13
What is the value of (4/(-8) - 18/4) + 117/27?
-2/3
Evaluate -5 + 9 - (-21 - (1 + 5 - -2)).
33
-5 - (-667)/138 - (1 - 68/(-24))
-4
Calculate 14 - (32 + -6 - 13).
1
88/16*-2 - -7
-4
Evaluate (6 - (-420)/(-72))/(9/(-6) + -4).
-1/33
What is (1 - (-161)/42) + (-5)/(-30) + 0?
5
What is the value of 165/(-18) + 1 - 107/(-642)?
-8
Calculate 6/(-15)*(-260)/(-1716).
-2/33
What is the value of (16/(-56) - (-11)/14) + (-3)/24?
3/8
Evaluate (-4)/300*-5*(-2890)/(-2601).
2/27
((33 - 18) + -12)/(6/4 - 1)
6
65/30 + (-4209)/1656
-3/8
Calculate 7/6 - ((-6783)/153 + 46).
-1/2
(-13)/(450/36 + 2 - 16)
26/3
Evaluate (-746)/(-164) - (-90)/25*(-465)/372.
2/41
What is the value of 64/(-528) + (-1101)/(-99)?
11
96/(-20)*12200/(-1952)
30
What is ((-248)/48)/(-31)*54?
9
What is (4 + (-108)/24)*(1 + 15/(-9))?
1/3
What is -7 + (-582)/(-24) - (-7)/(-28)?
17
Evaluate 11 - -1 - (-10 - -27).
-5
What is 9/(-21)*14*1*1/(-4)?
3/2
Evaluate 35/(-7 - 0) - (-15 - 4/2).
12
Evaluate -21 - 0 - (26 + 15 - 39).
-23
What is 24 - (-22 - -34) - 24?
-12
(3/30)/(((-45)/3)/30)
-1/5
What is the value of 0/((76/(-266))/(4/14))?
0
What is 1*(-4)/(-50)*-4*10/(-8)?
2/5
What is (-32*(-33)/1056 - 2/1)*-4?
4
(-50)/88 - ((-34)/(-40) - (-136)/(-85))
2/11
-12*1*23/92
-3
Calculate (-410)/(-2255) - (-94)/(-154).
-3/7
Evaluate ((-20)/55)/(-4) + (-16714)/1507.
-11
What is the value of (-2)/74 - 15272/3071?
-5
What is the value of (-3)/((2310/(-240))/(-11))?
-24/7
Calculate ((-1)/(20/16))/(60/(-150)).
2
Calculate 2*2/(-88)*(-17)/(153/(-54)).
-3/11
((-35)/(-50) - (-4)/5) + (-1015)/(-70)
16
What is 17 + 102/(-24) - 11?
7/4
Evaluate (60*3/864)/((-8)/(-160)).
25/6
What is ((-3)/(-9))/(5/3)?
1/5
(-24 + 4)/10*(-34)/(-4)
-17
Calculate (2/(-6) + 33/72)/((-127)/(-2032)).
2
Evaluate 7*(-12)/18*(-5 + 8).
-14
Calculate 1104/690*-3*5/60.
-2/5
Calculate (-57)/(-5) - (17 + (-528)/30).
12
What is the value of 8/15 - (301/(-129))/(105/(-18))?
2/15
Calculate ((190/40)/19)/((-146)/24 - -6).
-3
Evaluate (2/5)/((-330)/450) + (-5)/11.
-1
Calculate (-4)/((-12)/1)*(-14 - 21 - -17).
-6
((-4)/(-6) + (-22)/15)/(160/(-1200))
6
Evaluate (8 - 7)*(3 - (-24)/(-3)) + 3.
-2
Calculate (-252)/20 - (-54)/90.
-12
What is ((225/(-60) - -3) + 5/(-4))*-7?
14
What is ((-100)/(-225))/((-3 - (2 + -6)) + -3)?
-2/9
What is (-4)/5 - (12040/100)/(-43)?
2
Evaluate (8/(-5))/((-36)/(-90)) - (-948)/(-79).
-16
Calculate 36/(-35) + ((-8)/(-7))/((-215)/(-301)).
4/7
Calculate -2*((-146)/(-44) - (-80)/440).
-7
Evaluate (-4092)/308 - (-2)/7 - -7.
-6
(6/8)/((-57)/(-133))
7/4
154/44*(-3 - 13*4/(-28))
-4
Calculate ((-1566)/(-81) - 26) + 3 + -3 + 5.
-5/3
What is the value of ((-182)/7)/(((-8)/(-2))/(-1 - 1))?
13
What is (-6)/(-348)*16*(-14)/56?
-2/29
1/1 - (6/3)/(34/204)
-11
What is the value of (2 - 5) + (4 - 158/14)/(-3)?
-4/7
(-4 - (52/(-3))/13)*(-12)/(-8)
-4
Calculate 123/287 - 96/(-21).
5
What is ((-4)/6 - (-160)/(-15))*12/(-8)?
17
(-5)/((-3663)/(-286) + -13)
26
((-249)/(-10) - 26)/(-2 + (-38)/(-20))
11
Calculate 11 + 6/15 + 1363/(-145).
2
What is 2 - 1 - (164/(-28) + 5 + 1)?
6/7
Calculate (-5)/2*7000/1250.
-14
Calculate (-31)/(7254/2538) - -11.
2/13
Calculate -29 + 59/((-2183)/(-2405)).
36
(-20562)/(-1043) - -2*10/(-28)
19
What is 1/((-8)/(-18))*1120/(-168)?
-15
What is (-1*(-3 + 3))/(2/(-18)*9)?
0
What is (9234/168)/9*4 + 112/196?
25
11 + (-176)/99 + 2/(-9)*1
9
Evaluate (-3)/(-2 + 5) + 0/(7 + -6).
-1
What is the value of (140/637)/((-19)/(-7) + -3)?
-10/13
What is (211 - 213)/((-44)/(-6))?
-3/11
What is -4 + 3 - (40/10)/(-4)?
0
(-2)/(-13) + 565/5876
1/4
Evaluate ((-3)/1 - -3)*(0 + (-4)/(-8)).
0
What is the value of (-6987)/(-548) + 21/(-12)?
11
Calculate 3*6*-5*(-4)/90.
4
What is the value of (-25)/5 - (-12)/(-24)*(-2 - 0)?
-4
What is (81/21 + -3)*3136/3360?
4/5
Evaluate ((-7)/(14/(-45)))/(1866/(-2488)).
-30
(2
|
{
"pile_set_name": "DM Mathematics"
}
|
en 17066 is divided by 2031?
818
What is the remainder when 59985 is divided by 368?
1
What is the remainder when 384525 is divided by 128166?
27
What is the remainder when 16409 is divided by 1299?
821
What is the remainder when 94136 is divided by 1485?
581
Calculate the remainder when 36290724 is divided by 36290715.
9
Calculate the remainder when 4496589 is divided by 1498583.
840
Calculate the remainder when 71974 is divided by 35956.
62
Calculate the remainder when 300100 is divided by 3751.
20
What is the remainder when 416395915 is divided by 9?
7
Calculate the remainder when 81759934 is divided by 74.
72
Calculate the remainder when 516239 is divided by 1018.
113
Calculate the remainder when 86836203 is divided by 1547.
1546
Calculate the remainder when 731156 is divided by 133.
55
Calculate the remainder when 54726 is divided by 1177.
584
Calculate the remainder when 48631 is divided by 22515.
3601
What is the remainder when 487086 is divided by 1357?
1280
Calculate the remainder when 77821 is divided by 12785.
1111
Calculate the remainder when 568501 is divided by 63.
52
Calculate the remainder when 3267429 is divided by 1633695.
39
What is the remainder when 6538331 is divided by 136?
131
What is the remainder when 891512 is divided by 801?
800
What is the remainder when 2203762 is divided by 27?
22
What is the remainder when 14561532 is divided by 6524?
6488
What is the remainder when 811218 is divided by 542?
386
What is the remainder when 140022 is divided by 4253?
3926
Calculate the remainder when 2212068 is divided by 33.
12
What is the remainder when 3818255 is divided by 2646?
77
Calculate the remainder when 5744 is divided by 1883.
95
What is the remainder when 525501 is divided by 5904?
45
Calculate the remainder when 895705 is divided by 298565.
10
What is the remainder when 2508074 is divided by 15?
14
Calculate the remainder when 9745530 is divided by 250.
30
What is the remainder when 468345373 is divided by 675?
673
Calculate the remainder when 101796094 is divided by 2473.
2468
Calculate the remainder when 6473163 is divided by 143848.
3
What is the remainder when 32093 is divided by 4555?
208
Calculate the remainder when 2508476 is divided by 618.
14
What is the remainder when 712594768 is divided by 297?
292
Calculate the remainder when 663074 is divided by 41441.
18
What is the remainder when 6029073 is divided by 12?
9
What is the remainder when 933408 is divided by 311097?
117
Calculate the remainder when 2326123 is divided by 23.
18
What is the remainder when 643562 is divided by 157?
19
What is the remainder when 612125 is divided by 306054?
17
What is the remainder when 964487 is divided by 482232?
23
What is the remainder when 57975 is divided by 5269?
16
Calculate the remainder when 4697058 is divided by 620.
558
What is the remainder when 938942 is divided by 257?
121
What is the remainder when 24351469 is divided by 173939?
9
Calculate the remainder when 4860100 is divided by 1860.
1780
What is the remainder when 3613642 is divided by 1442?
1432
What is the remainder when 427519058 is divided by 10?
8
Calculate the remainder when 596545 is divided by 833.
117
What is the remainder when 210854 is divided by 3339?
497
Calculate the remainder when 46979452 is divided by 2685.
7
Calculate the remainder when 372381 is divided by 432.
429
Calculate the remainder when 37572 is divided by 2681.
38
Calculate the remainder when 12158255 is divided by 40.
15
Calculate the remainder when 1777957 is divided by 7867.
15
Calculate the remainder when 651751 is divided by 4207.
3873
What is the remainder when 183270 is divided by 19414?
8544
Calculate the remainder when 1767651 is divided by 44.
39
Calculate the remainder when 27816320 is divided by 352105.
25
What is the remainder when 870823 is divided by 28089?
64
What is the remainder when 312638 is divided by 370?
358
What is the remainder when 3463317 is divided by 570?
567
What is the remainder when 198592 is divided by 13204?
532
Calculate the remainder when 750821794 is divided by 9972.
9970
What is the remainder when 48762571 is divided by 117?
13
Calculate the remainder when 19936655 is divided by 3987331.
0
Calculate the remainder when 3877884 is divided by 224.
220
Calculate the remainder when 53393 is divided by 408.
353
What is the remainder when 9609518 is divided by 23?
3
Calculate the remainder when 2772256 is divided by 1023.
949
What is the remainder when 1189863 is divided by 84982?
115
Calculate the remainder when 53690112 is divided by 17896703.
3
Calculate the remainder when 87432 is divided by 57.
51
Calculate the remainder when 892041 is divided by 2060.
61
What is the remainder when 304235 is divided by 50591?
689
What is the remainder when 127324 is divided by 63519?
286
What is the remainder when 12849466 is divided by 4944?
10
Calculate the remainder when 175874 is divided by 176.
50
Calculate the remainder when 241600915 is divided by 12491.
12484
Calculate the remainder when 17288832 is divided by 356.
48
What is the remainder when 171306042 is divided by 7?
5
Calculate the remainder when 22339948 is divided by 222.
88
Calculate the remainder when 2871560 is divided by 601.
583
Calculate the remainder when 23860532 is divided by 97.
84
What is the remainder when 99527 is divided by 32?
7
Calculate the remainder when 46833377 is divided by 3811.
3809
What is the remainder when 686181 is divided by 8517?
4821
Calculate the remainder when 5534955 is divided by 1609.
1604
What is the remainder when 229117 is divided by 228887?
230
What is the remainder when 9059360 is divided by 905935?
10
What is the remainder when 24752849 is divided by 571?
570
Calculate the remainder when 31884672 is divided by 1741.
1739
What is the remainder when 594717 is divided by 2457?
123
Calculate the remainder when 3438146 is divided by 128.
66
What is the remainder when 8670148 is divided by 25?
23
Calculate the remainder when 880607 is divided by 7400.
7
Calculate the remainder when 2515790 is divided by 241.
232
What is the remainder when 135783332 is divided by 32?
4
Calculate the remainder when 695873 is divided by 2094.
665
Calculate the remainder when 25513 is divided by 7991.
1540
What is the remainder when 85488 is divided by 1335?
48
Calculate the remainder when 252206 is divided by 2153.
305
What is the remainder when 362116793 is divided by 174?
173
Calculate the remainder when 355510 is divided by 71069.
165
Calculate the remainder when 124081377 is divided by 180.
177
Calculate the remainder when 1272555 is divided by 25967.
172
What is the remainder when 35447814 is divided by 3544780?
14
Calculate the remainder when 1385871 is divided by 461938.
57
Calculate the remainder when 6138375 is divided by 266885.
20
Calculate the remainder when 75212838 is divided by 20.
18
Calculate the remainder when 1051600 is divided by 1905.
40
What is the remainder when 8895376 is divided by 1187?
1185
Calculate the remainder when 27737 is divided by 13868.
1
What is the remainder when 27041 is divided by 26504?
537
Calculate the remainder when 11850112 is divided by 72.
64
What is the remainder when 3996569 is divided by 822?
5
Calculate the remainder when 1184987 is divided by 2643.
923
Calculate the remainder when 13578605 is divided by 284.
281
Calculate the remainder when 309152 is divided by 21.
11
What is the remainder when 364950 is divided by 229?
153
Calculate the remainder when 350958 is divided by 1640.
1638
What is the remainder when 113351 is divided by 2691?
329
What is the remainder when 3754710 is divided by 938634?
174
Calculate the remainder when 10345729 is divided by 4.
1
Calculate the remainder when 5662932 is divided by 47.
43
What is the remainder when 56660553 is divided by 292?
289
Calculate the remainder when 37427 is divided by 12467.
26
Calculate the remainder when 2399798 is divided by 159.
11
What is the remainder when 2506336 is divided by 55?
41
Calculate the remainder when 1327646 is divided by 39044.
150
Calculate the remainder when 2667631 is divided by 533522.
21
Calculate the remainder when 471037 is divided by 12265.
4967
Calculate the remainder when 13594167 is divided by 288.
279
Calculate the remainder when 9285300 is di
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 3 for i.
-3
Let x be (-5 + 6 + -1)/(0 - -2). Suppose -3*h + 6 = 3*b, x*b = -b - 2*h + 4. Solve 2*a - 6 + 2 = b for a.
2
Let s(h) = 2*h**2 + 31*h + 79. Let q be s(-3). Let t = 11 - 8. Solve -t + 11 = -q*a for a.
-2
Let t be ((-20)/(-360))/((-2)/6)*-30. Suppose t*j = -4*k + 20, 3*k + 8*j - 15 = 3*j. Solve -k*f - 8*f + 52 = 0 for f.
4
Suppose 16 = -3*i - 2*f, 0 = -2*i + 6*f - 2*f. Let z be -1*(5 + i) - -5. Solve -z*v - 9 = 3 for v.
-3
Suppose -3*n + 8 = -13. Let f(v) be the second derivative of v**3/2 - 9*v**2 + 123*v. Let x be f(n). Solve -x*p + 4*p + 4 = 0 for p.
-4
Let v(p) = p**3 - 21*p**2 + 28*p + 2. Let t be v(20). Let o be (-88)/(-18) + -6*(-3)/t. Solve 0 = 7*b - 6*b + o for b.
-5
Let l be (4 - -63) + -14 + 22. Solve l = -118*i + 133*i for i.
5
Suppose -3*z - 2*z + 1325 = j, 0 = j - 2*z - 1381. Solve -1357 + j = h for h.
8
Let t = -10926 - -10926. Solve t = -10*r - 10 + 30 for r.
2
Let y be ((-10)/8)/(13/(-52)) + 3. Solve -y*h + 23 = -31*h for h.
-1
Let d(c) = 6*c**3 - 127*c**2 + 379*c + 1. Let z be d(3). Solve -4*w + z = 141 for w.
4
Let a(w) = 3*w**2 - 22*w - 11. Let o be a(8). Suppose 0 = 4*s + o*u - 0*u - 11, 2*u = s - 6. Let q be 2 - (6*-1 + -3). Solve s*v + q = -1 for v.
-3
Suppose 2*o = -c - 103, 179 = -5*o + 5*c - 116. Let h = -34 - o. Suppose l = 43*l - 210. Solve -w + l*w = -h for w.
-5
Suppose 1 = 3*t - 4*r, -2*t + 0*r + 2*r + 2 = 0. Suppose 5*g = 4*c + 232, -4*g - c + 164 = t*c. Suppose -4*a - 7*a = -g. Solve -x + a = 7 for x.
-3
Let k = -237 - -256. Solve k*l - 35*l + 32 = 0 for l.
2
Let s(p) = -p**3 + 9*p**2 - 4*p - 26. Suppose 0 = 3*z - 24 - 0. Let v be s(z). Suppose -3*j - v*j = -9. Solve l + j = -3 for l.
-4
Let o = -4 - -2. Let v(j) = 3*j**2 + 14*j + 49. Let t(u) = -4*u**2 - 13*u - 50. Let i(p) = o*t(p) - 3*v(p). Let d be i(-11). Solve -z = z + d for z.
-4
Let y(v) = 3*v - 6. Let u be y(4). Let o be 27/162 - (91/u - 1). Let b = 14 + o. Solve b = -2*z - 3*z - 20 for z.
-4
Suppose -2*c = 2*j - 16, 3*c - 3*j - 35 = 19. Solve -c = 8*p - 21 for p.
1
Suppose 5*b = -0*s - 2*s - 27, -5*s = 4*b + 25. Let n(p) = -p + 6. Let x be n(b). Let h = -42 - -68. Solve 0 = -3*m + h - x for m.
5
Let s = 5156 - 5152. Solve 398 = s*m + 382 for m.
4
Suppose -3*q + 5*l + 41 = 0, 46*l = 2*q + 44*l - 30. Solve -45 = 7*x - q for x.
-4
Let a(c) = c**2 - 89*c + 893. Let q be a(79). Solve 103*h + q = 618 for h.
5
Suppose 7 = -3*c + 7. Suppose c = 13*x - 149 + 19. Suppose 0 = 13*n - x*n - 6. Solve n*g + 4 + 2 = 0 for g.
-3
Let g(n) = -8*n**3 - 495*n**2 + 59*n - 154. Let h be g(-62). Solve -30 = t - h for t.
2
Suppose -2*k = j - 53, k - 3 = -2*j + 88. Suppose 2*g - 4 = -5*t + t, -t = 4*g - j. Suppose 0 = -g*n + 51 - 3. Solve n*s + 19 + 1 = 0 for s.
-5
Suppose 192 - 67 = -5*l. Let b = -11 + l. Let x = b - -39. Solve -8 + 2 = -x*q for q.
2
Let w be (-1 + (-130)/14)*(-280)/60. Let r = -64 + w. Let j = r + 19. Solve -z + 4*z - j = 0 for z.
1
Suppose -c = -s, -c - 3*c - 2*s = 0. Suppose 80 = -c*r + 4*r. Solve 5*u = -0*u + r for u.
4
Let d be (-4)/14 - (-19)/((-1463)/(-22)). Solve 26*c - 23*c - 12 = d for c.
4
Let d = -63 - -88. Let a be ((-5)/2)/(1/(-10)). Let o = d - a. Solve -4*z + 2*z + 6 = o for z.
3
Suppose 0 = 28*k - 8*k + 120. Let b be 4 - k*3/(-9). Let g be (4/3)/(1/3). Solve 0 = b*p - 3*p + g for p.
4
Let m be 7830/19 - (-1 + (-231)/(-209)). Solve -424 = 3*o - m for o.
-4
Suppose 11*p - 35 = 4*p. Let l(c) = -22*c + 125. Let k be l(p). Solve 3*u + k = 12 for u.
-1
Let q = -21 - -31. Let f = -7 + q. Suppose -f*r = 9, -3 = -o + 4*o + r. Solve 6 + o = -2*y for y.
-3
Let w(b) = -13*b + 897. Let m be w(69). Suppose 15 - 155 = -7*z. Solve m = -y - z + 22 for y.
2
Let u be (-20)/(-6)*(-9 + 255/25). Let g be (-2)/4*u/(-6)*24. Solve g*s = -s for s.
0
Let t(g) = 2*g**2 + 92*g + 298. Let v be t(-43). Solve -66*s - v = -56*s for s.
-4
Let l be (-1265)/(-3) + 10/(-18)*3. Let q = l - 418. Solve 4*g + 10 = -q for g.
-3
Suppose 0 = 10*t - 15*t + 270. Let x = 57 - t. Solve 0 = x*l - 12 - 0 for l.
4
Let n be ((-1)/6 + 24/9 - 2)*0. Solve n = -12*y - 6*y + 90 for y.
5
Let y(u) = -u**2 - 13*u + 6. Let p be y(-15). Let o = -21 - p. Let i = -38 + 40. Solve i*x = -o - 5 for x.
-4
Suppose 0 = -g + 3*o - 8*o + 2, -g + 2*o = -9. Suppose 19 = -4*m - k, -g*m - 27 = -2*m - 2*k. Let t be (0/(4 + m))/(-1). Solve t - 15 = 5*p for p.
-3
Let n(m) = -m**3 + 11*m**2 + m - 9. Let q be n(11). Suppose 50 = 7*l - q*l. Let w be (12 + -6)*l/4. Solve 2*u = 5*u - w for u.
5
Suppose 5*f + 3*s + 45 = 0, -f + 3*s - 8 = 1. Let d(q) = q**2 + 14*q + 49. Let x be d(f). Let r = 7 + -7. Solve x*g - 4 = -r for g.
1
Suppose 2*n - 4*r = 40, -n - 3*n + r + 59 = 0. Let k = -18 + 22. Solve 2 + n = k*q for q.
4
Suppose 4*q = -0*q. Suppose 4 = -250*y + 251*y. Suppose 2*m - 14 = -y*b, 3*m = 5*b - 3 - 31. Solve q = -4*d - d + b for d.
1
Suppose 405*s - 396*s = 1593. Solve -122 + s = 11*o for o.
5
Let w(k) = k + 9. Suppose -117 = 8*n + n. Let f be w(n). Let q be 4 + ((-16)/(-2))/f. Solve 6*h = q*h for h.
0
Suppose -28 = -3*q + 14. Let u(v) = -10*v**2 - q + 20*v**2 + 17*v - 9*v**2. Let c be u(-18). Solve a - c = 3*a for a.
-2
Suppose -6 = 2*c, 2*c = -4*b + 2*b - 32. Let a = b + 49. Let o be (-94)/(-6) + a/(-54). Solve o - 5 = 5*m for m.
2
Let z = -11368 - -11388. Solve -56 = -z*t + 124 for t.
9
Let z(q) = -23*q - 1081. Let u be z(-47). Solve u = o - 254 + 248 for o.
6
Let n = 164 + -156. Solve 548 = -n*g + 580 for g.
4
Let b(n) = 9605*n - 9604. Let t be b(1). Let z be -2 + (2 - (-4)/1). Solve t = -s + z for s.
3
Let x = -636 - -739. Suppose 46*m - 173 = x. Solve 0 = -m*c + 35 - 17 for c.
3
Suppose 222*s - 215*s - 28 = 0. Suppose s*k - 17 = 3*r, 3*r - 29 + 6 = -4*k. Solve 9*d + 12 = k*d for d.
-3
Suppose -3*g = 17*g - 3480. Let b = -159 + g. Solve -5*x - 20 = -b for x.
-1
Let y = -180 + 189. Suppose 0 = -2*b - 4*q + 6, -4*b + 5*q + 21 = y. Solve 0 = -b*o - 6 - 0 for o.
-2
Let d(u) = -u**2 - 7*u + 2. Let w be d(-7). Suppose -w*f - 1 = -v, f = 6*f - 4*v + 10. Solve -a + f = -1 for a.
3
Let j(m) = m**2 + 6*m - 5. Let p be j(3). Suppose z - p = -4*r, 3*r = -z - 0*z + 21. Solve 0 = z*c - 14*c + 16 for c.
-4
Suppose 0 = -b - 3, -4*b = 5*o - 0*b + 677. Let z = o + 135. Solve z = 5*y - 8 for y.
2
Let y(o) = o**2 + 265*o - 799. Let r be y(3). Solve -15 = -r*m + 25 for m.
8
Let b = -19728 - -19854. Solve b*o + 1 = 125*o for o.
-1
Suppose 0 = 46*s - 45*s - 20. Let d be (-4)/24 - 61/(-6). Suppose -7*x = -d*x. Solve 4*m + x*m = -s for m.
-5
Suppose d - 486 + 10 = 0. Let n = -476 + d. Solve n = 8*p + 42 - 18 for p.
-3
Let g(w) = 20*w - 80. Let n be g(4). Solve 12*z - 6*z + 12 = n for z.
-2
Suppose 5*j + 13*j - 6*j = 24. Let i be 4 + 0 + (-2 - -2). Suppose -2*c = -q, 6*q - 5*c = i*q. Solve j*t = -q*t - 2 for t.
-1
Suppose 4*l = -48 + 168. Solve l*o = 17*o for o.
0
Let a(g) = -g**2 + 7*g - 5. Let y be a(7). Let o = -185 + 183. Let w be (-4)/o*y/(-2). Solve 3 + w = -4*m for m.
-2
Let t = -4779 - -4803. Solve 3*y + y = t for y.
6
Suppose 4*i + 581 = 3*i + 5*k, -2*k = -i - 578. Let j be (-3)/(-5) + i/(-90). Solve -2 + 23 = j*f for f.
3
Suppose -430*w - 220 = -440*w. Solve -11*n + 88 - w = 0 for n.
6
Suppose 3*h - 26 = 3*s + 4, 0 = 5*s + 25. Suppose 0 = -2*y + h*t - 4, -3*t - 16 = -5*y - 7. Solve y*k - 2 + 2 = 0 for k.
0
Let a be 1/2 - 83/2. Let q(n) = -n**3 - 24*n**2 + 28*n + 25. Let f be q(-25). Let t = a - f. Solve -t = -i - 2*i for i.
3
Let k(j) = 16*j**2 - 109*j + 4. Let p be k(7). Solve -34*q - p = -9*q for q.
-1
Suppose 1037*x = 975*x + 3658. Solve 4*o + x = 75 for o.
4
Let k(y) be the third derivative of 55*y**4/24 - 22*y**3/3 + 47*y**2. Let i be k(1). Solve -5*p = -i - 14 for p.
5
Let n be 18/(10/4 - 1). Let u(j) be the first derivative of -j**4/4 + 4*j**3 + j**2 - 20*j - 2514. Let o be u(n). Solve p - 3*p = o for p.
-2
Suppose -70*w + 62*w + 64 = 0. Suppose 25 = w*g - 23. Solve g*o + 2 = 4*o for o.
-1
Let x be 2*(-24)/(-14) - (-1040)/1820. Let i be (0 + 0)*(1 - 0). Let s = 4 - i. Solve -s*r + 0 = -x for r.
1
Suppose x - 13 = -3*o - o, -3*x + 5*o - 12 = 0. Let j be ((-350)/105)/(x*(-2)/12). Solve 3*c + 2*c - j = 0 for c.
4
Let y be (-2782)/642 - 728/(-6). Solve y = 75*q - 88*q for q.
-9
Let v(u) = u**2 + 6*u + 7. Let o be v(-5). Let r = -23835 + 23843. Solve o*i + r = 4*i for i.
4
Let f = -22786 + 22905. Solve 11 - f =
|
{
"pile_set_name": "DM Mathematics"
}
|
the remainder when 154 is divided by a.
37
Let p be 5/4 - 2/8. Let y = p - -1. Let d(h) = h**3 + 3*h**2 - 2*h + 1. Calculate the remainder when 49 is divided by d(y).
15
Suppose -70 = -3*b - 13. Let f(a) be the second derivative of a**3/6 + 3*a**2/2 - 11*a. What is the remainder when b is divided by f(7)?
9
Let d be 1*(-3 + 2 + 1). Suppose 0 = 5*n + x - 6, 0*n - 2*n = -x - 8. Suppose d = -3*u + 2*u + n. Calculate the remainder when 3 is divided by u.
1
Let j(x) = -12*x - 15. Let h be j(-10). Suppose -33 - 72 = -3*z - 3*g, -4*z = -3*g - h. What is the remainder when 119 is divided by z?
29
Let f(t) = 2*t**2 + 3*t - 2. Let j be f(2). Suppose -j = -g + 5*l, 0*l + l = -g + 42. Let n = 49 + -39. What is the remainder when g is divided by n?
7
Let x = -341 - -669. Calculate the remainder when x is divided by 30.
28
Let m(p) = 3*p**2 + 4*p + 3. Let t be m(-2). Let g = -21 - -37. Let x = g - t. What is the remainder when 16 is divided by x?
7
Suppose -11 = -7*p + 17. What is the remainder when 11 is divided by p?
3
Suppose -5*s + 45 = -4*s. Suppose 3*b - 23 = 25. What is the remainder when s is divided by b?
13
Suppose 0*d + 2*d - 2 = 0. Let l(n) = 41*n - 1. Let x be l(d). Suppose -6*b + 2*b + x = 0. Calculate the remainder when 19 is divided by b.
9
Suppose -3*m = -2*m - 9. Suppose 3*n = 5*o + 75, 2*o = -2*n - 2*n - 30. What is the remainder when m is divided by 6/o - (-27)/5?
4
Let g = 36 + -20. What is the remainder when 45 is divided by g?
13
Let w(r) = 0 - 3 - 3*r + 1. Calculate the remainder when 46 is divided by w(-6).
14
Suppose 16*s = 13*s + 495. Calculate the remainder when s is divided by 42.
39
Let b(m) = m**3 - 4*m**2 + 2*m - 2. Suppose -2*n + 5*o + 15 = 0, 12 = n - 0*n - o. What is the remainder when n is divided by b(4)?
3
Suppose -34 - 21 = -5*d. Let h = 11 - -18. What is the remainder when h is divided by d?
7
Suppose 0 = -2*r + 4*b - 18, 19 = -2*r + 3*b - 0. Let f = r + 15. What is the remainder when 5 is divided by f?
1
What is the remainder when 2109/152 + (-2)/(-16) is divided by 4?
2
Let j = -6 + 9. What is the remainder when ((-14)/(-4))/(j/30) is divided by 19?
16
Calculate the remainder when 31 is divided by ((-30)/(-12))/((-1)/(-4)).
1
Suppose -3*x - 3*g = -51, 4*g - 21 + 105 = 4*x. Calculate the remainder when 36 is divided by x.
17
Let n(v) = v**3 - 12*v**2 - 7*v - 14. Let h = -32 + 45. Calculate the remainder when n(h) is divided by 11.
9
Suppose 0 = -5*d - 2*v + 306 - 48, d = -2*v + 58. Suppose d + 158 = 4*s. Suppose 0 = -3*b + 41 + 13. Calculate the remainder when s is divided by b.
16
Let j = -23 + 29. What is the remainder when 16 is divided by j?
4
Suppose -69 = -5*m + 186. Let r = -50 - -63. What is the remainder when m is divided by r?
12
Let s(g) = -g**2 - 17*g + 36. Calculate the remainder when 215 is divided by s(-17).
35
What is the remainder when 33/(-22)*-2*13 is divided by 21?
18
Let u(z) = -z**3 - 4*z - 5. Let s be u(-4). Suppose w + 4*w - s = 0. Calculate the remainder when 29 is divided by w.
14
Let v(t) = t**3 - 5*t**2 + 2*t - 1. Let h be v(4). Let z = -43 - h. Calculate the remainder when 33 is divided by z/(-2) + (-8 - -8).
16
Let p be (13 - 5)/(1/(-6)). Let r = 87 + p. Suppose -2*n = f - 23, 2*n + 4*f - 12 - 20 = 0. Calculate the remainder when r is divided by n.
9
Suppose 0*l - 107 = -4*l + 3*p, 3*l + p - 77 = 0. What is the remainder when 76 is divided by l?
24
Let q = 26 + -14. Let i = 8 + -12. Let c = q + i. Calculate the remainder when 14 is divided by c.
6
Let i = -3 + 2. Let j = i - -1. Calculate the remainder when 4 is divided by j - (0/(-3) + -3).
1
Suppose -3*a - 2*j = -a - 12, a = 5*j. Suppose 19 = -4*i + a*i. Calculate the remainder when 37 is divided by i.
18
Suppose -3*v = 4*a - 71, 0 = 2*a - 0*v + v - 33. Calculate the remainder when a is divided by 5.
4
Suppose o + o = 6. Suppose -4*z = -o*z + 3*b - 12, -z - 3 = -2*b. Suppose y - 46 = 4*x, 3*y + x - 115 + z = 0. What is the remainder when y is divided by 13?
12
Let v = -25 - -16. Let t = -2 - v. Calculate the remainder when t is divided by 4.
3
Let s(f) = -f**2 - 2*f + 8. Let r(y) = 3*y - 9. Let k be r(3). What is the remainder when 29 is divided by s(k)?
5
Suppose -3*l - 5 = -32. Suppose 0*u = u. Suppose -11 + 1 = -s + 3*y, u = -3*s - 2*y + 52. What is the remainder when s is divided by l?
7
Calculate the remainder when (60/(-9))/((-4)/6) is divided by 6.
4
Suppose 5*j - 230 - 20 = 0. What is the remainder when 247 is divided by j?
47
Suppose 0 = -0*u - 5*u + 1865. Let b be u/(-7) + 4/14. Let o = -21 - b. Calculate the remainder when o is divided by 11.
10
Suppose -4*n + j = 812, 0 = -3*n - 4*j - 0*j - 628. What is the remainder when (2/6)/((-4)/n) is divided by 9?
8
Let s be 8/(-6)*9/(-1). Let v = -8 + s. Suppose 5*t - x = 17, -3*t + 2*x + 19 = 6. Calculate the remainder when v is divided by t.
1
Let h(x) = x + 2. Let q be h(-3). Let w = q + 19. Calculate the remainder when (106/(-4))/(2/(-4)) is divided by w.
17
Calculate the remainder when 59 is divided by (-12)/(-2 + -1) - -12.
11
Let k = 0 - -2. Suppose 3*l - k*l - q = 49, 0 = 2*l + 5*q - 77. Calculate the remainder when 61 is divided by l/2 + (-2)/1.
19
Suppose -4*t + 3*l + 18 = 5*l, -4*t = -l - 9. Suppose 3 = -w - 0*w. Let d = w + 11. What is the remainder when d is divided by t?
2
Let c = -1 + 6. Let q(o) = o**3 - 4*o**2 - 6*o + 5. Let r be q(c). Suppose 18 = -r*i + i. What is the remainder when i is divided by 10?
8
Let k(j) = j**2 - 3*j - 2. Let t be k(3). Let u be (2*9)/(t + 3). Calculate the remainder when 564/u*3/2 is divided by 16.
15
Calculate the remainder when 46 is divided by (-1)/(-1)*(-2 - -26).
22
Let q = -18 - -29. Let u(z) = -4*z**3 - 4*z**2 - 4*z - 3. Let d(o) = o**2 + 7*o - 2. Let b be d(-7). Calculate the remainder when u(b) is divided by q.
10
Let r(q) = q**3 + 5*q**2 + 2*q - 4. Let f be r(-4). Suppose 2*o = -0*o - f. What is the remainder when 25 is divided by (-2)/o*(11 + 2)?
12
Suppose 0*p = -5*r - 2*p - 192, 5 = -5*p. What is the remainder when (r/(-4))/((-5)/(-20)) is divided by 13?
12
Let y(a) be the third derivative of -a**6/120 + a**5/10 + 5*a**4/12 + a**3/3 + a**2. Calculate the remainder when 44 is divided by y(7).
21
Let v = -42 - -61. Let g(u) = 8*u**2 - 5*u - 2. Calculate the remainder when g(3) is divided by v.
17
Let d(x) be the third derivative of x**5/60 + x**4/8 + x**3/2 + 3*x**2. What is the remainder when 20 is divided by d(-3)?
2
Suppose 0 = -3*w + 3*g + 44 - 14, -48 = -4*w + 2*g. Let z(s) = 9 - 4 + 3*s - s - 2*s**3 + s**3 + 6*s**2. What is the remainder when z(5) is divided by w?
12
Suppose 3*w + 1 = -5, 2*w - 16 = 2*i. Calculate the remainder when -2 + (i + 3)*-3 is divided by 7.
5
Let j(i) = -18 + 7*i - i**2 + 11 + 2*i**2. Calculate the remainder when 21 is divided by j(-9).
10
Suppose 0 = -c + 15 - 0. Calculate the remainder when c is divided by 3.
0
Let t = -26 + 33. Suppose -3*j + 7*j - 104 = 0. What is the remainder when j is divided by t?
5
Let m(d) be the first derivative of 3 - 3/2*d**2 + d. What is the remainder when 11 is divided by m(-1)?
3
What is the remainder when 6 is divided by (6/(-2))/(-6) + 3/2?
0
Suppose -18*f - 14 = -20*f. Let l = 1 + f. Calculate the remainder when 13 is divided by l.
5
Let m = 21 + -15. Suppose m*o = 3*o + 6. Calculate the remainder when o is divided by (-18)/(-15) - (-16)/20.
0
Suppose -4*s - 353 = -3*d, -d + 4*s + 468 = 3*d. Calculate the remainder when d is divided by 40.
35
Suppose -q = -0*q - 2. Suppose -2*n + 66 = 3*r + 26, 0 = -4*n + 2*r + 48. Suppose 3*h - n = q*h. Calculate the remainder when h is divided by 8.
6
Let w(a) = 4*a**2 + 4*a - 2. Let t(l) = -l - l + l + 0. What is the remainder when w(-3) is divided by t(-8)?
6
Let k(l) = -17*l + 12. Let h = 20 + -4. What is the remainder when k(-2) is divided by h?
14
Let f(l) = -10*l + 6. Let p be f(5). Let r = p + 65. Calculate the remainder when r is divided by 11.
10
Let r be (-6 - 0)/((-4)/44). Suppose j = 3*j + r. Let x = 56 + j. What is the remainder when x is divided by 12?
11
Suppose 0*n = -5*n + 185. What is the remainder when n is divided by -1 + 33*2/6?
7
Suppose 0*a = -a + 29. Calculate the remainder when a is divided by 10.
9
Let q = -17 + 36. Suppose -4*m + 3*i = -q, -i = 3*m - 5 - 19. What is the remainder when 20 is divi
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - 288*m/7 - 108/7 = 0. Calculate m.
-3, -2/5, 2
Determine o so that 5*o**4 - 15*o**3 - 45*o**2 - 25*o = 0.
-1, 0, 5
Suppose -3*g**3 - 57*g**2 + 123*g - 63 = 0. Calculate g.
-21, 1
Let -2*c**5 - 90*c**4 - 1046*c**3 - 534*c**2 + 4576*c - 2904 = 0. Calculate c.
-22, -3, 1
Factor 4*m**2 + 7192*m - 7196.
4*(m - 1)*(m + 1799)
Determine o, given that 5*o**5 - 100*o**4 - 105*o**3 = 0.
-1, 0, 21
Factor -j**4/4 + 11*j**3/2 + 3*j**2/4 - 16*j - 11.
-(j - 22)*(j - 2)*(j + 1)**2/4
Factor -b**3/2 + 10*b**2 + 21*b/2.
-b*(b - 21)*(b + 1)/2
Determine m so that 5*m**2 - 10*m - 40 = 0.
-2, 4
Factor -3*c**3 - 72*c**2 - 483*c - 702.
-3*(c + 2)*(c + 9)*(c + 13)
Determine r so that -4*r**5/7 - 110*r**4/7 + 178*r**3/7 + 116*r**2/7 = 0.
-29, -1/2, 0, 2
Factor -20*d**5 - 1212*d**4 - 27720*d**3 - 286200*d**2 - 1174500*d - 607500.
-4*(d + 15)**4*(5*d + 3)
Factor 4*c**4 + 10*c**3 - 12*c**2 - 38*c - 20.
2*(c - 2)*(c + 1)**2*(2*c + 5)
Factor -3*r**2 + 6954*r - 4029843.
-3*(r - 1159)**2
Suppose -4*g**3/3 - 20*g**2/3 - 32*g/3 - 16/3 = 0. Calculate g.
-2, -1
Factor d**2/2 + 11*d/2 - 13.
(d - 2)*(d + 13)/2
Determine l, given that 138*l**2/11 - 120*l/11 - 18/11 = 0.
-3/23, 1
Determine s, given that -37*s**4/6 + 56*s**3/3 - 113*s**2/6 + 19*s/3 = 0.
0, 1, 38/37
Factor g**4/4 - 5*g**3 + 13*g**2/4 + 57*g/2.
g*(g - 19)*(g - 3)*(g + 2)/4
Solve 3*q**2 - 90*q + 168 = 0 for q.
2, 28
Let -5*d**2 - 515*d - 2450 = 0. Calculate d.
-98, -5
Factor 3*h**3/5 - 81*h**2/5 + 357*h/5 + 441/5.
3*(h - 21)*(h - 7)*(h + 1)/5
Determine j so that 4*j**3/15 + 14*j**2/15 - 8*j/15 = 0.
-4, 0, 1/2
Factor 2*f**3 + 2292*f**2/7 - 4626*f/7 + 2320/7.
2*(f - 1)**2*(7*f + 1160)/7
Factor -4*j**3/3 + 32*j**2/3 + 556*j/3 + 952/3.
-4*(j - 17)*(j + 2)*(j + 7)/3
Factor -4*a**2 - a.
-a*(4*a + 1)
Factor k**5 + 5*k**4 - 14*k**3 + 2*k**2 + 13*k - 7.
(k - 1)**3*(k + 1)*(k + 7)
Factor p**3/8 - 3*p**2/8 - 15*p/2 - 25/2.
(p - 10)*(p + 2)*(p + 5)/8
Suppose -j**2/11 + 280*j/11 - 19600/11 = 0. What is j?
140
Let -24*o**4 - 74*o**3 - 78*o**2 - 30*o - 2 = 0. What is o?
-1, -1/12
Solve -f**2 + 1656*f - 685584 = 0.
828
Factor 2*s**3 - 69*s**2 + 33*s + 34.
(s - 34)*(s - 1)*(2*s + 1)
Solve -10*y**5/7 + 2*y**4 - 4*y**3/7 = 0.
0, 2/5, 1
Factor h**4/9 + 4*h**3/9 + 2*h**2/9 - 4*h/9 - 1/3.
(h - 1)*(h + 1)**2*(h + 3)/9
Let -4*r**5/5 + 68*r**4/5 - 421*r**3/5 + 228*r**2 - 1269*r/5 + 486/5 = 0. What is r?
1, 9/2, 6
Determine k so that 192*k**5 + 400*k**4 + 940*k**3/3 + 115*k**2 + 20*k + 4/3 = 0.
-2/3, -1/4
Find u such that u**2/4 - 2*u = 0.
0, 8
Suppose -s**2/2 + 255*s/2 - 747 = 0. What is s?
6, 249
Let 2*x**5 + 28*x**4 - 14*x**3 - 208*x**2 - 168*x = 0. Calculate x.
-14, -2, -1, 0, 3
Determine p, given that 3*p**3 - 45*p**2 = 0.
0, 15
Factor -4*i**4 - 120*i**3 - 564*i**2 + 6256*i + 13872.
-4*(i - 6)*(i + 2)*(i + 17)**2
Determine z so that -2*z**5/7 + 12*z**4/7 - 22*z**3/7 + 4*z**2/7 + 24*z/7 - 16/7 = 0.
-1, 1, 2
Find x, given that -324*x**3 - 191664*x**2 + 85232*x - 9472 = 0.
-592, 2/9
Solve 125*d**5 - 675*d**4 + 130*d**3 + 650*d**2 - 255*d + 25 = 0.
-1, 1/5, 1, 5
Find u, given that -3*u**5 + 543*u**4 - 531*u**3 - 1635*u**2 + 2706*u - 1080 = 0.
-2, 1, 180
What is r in -3*r**3/7 - 6*r**2/7 + 765*r/7 = 0?
-17, 0, 15
Factor -3*v**4 + 42*v**3 - 156*v**2 - 72*v + 864.
-3*(v - 6)**2*(v - 4)*(v + 2)
Factor 3*q**4/7 - 114*q**3/7 + 111*q**2/7.
3*q**2*(q - 37)*(q - 1)/7
Let -2*k**2 + 22228*k - 61760498 = 0. What is k?
5557
What is q in 3*q**4/4 + 9*q**3 + 24*q**2 = 0?
-8, -4, 0
Suppose -4*j**4/5 + 28*j**3/5 - 52*j**2/5 - 12*j/5 + 72/5 = 0. What is j?
-1, 2, 3
Determine l so that 2*l**3/3 - 128*l**2 + 8192*l - 524288/3 = 0.
64
Solve -3*g**5 - 12*g**4 + 39*g**3 + 120*g**2 - 144*g = 0 for g.
-4, 0, 1, 3
What is k in -14*k**4/9 + 8*k**3/3 + 22*k**2/9 - 8*k/3 - 8/9 = 0?
-1, -2/7, 1, 2
Solve i**2/2 - 48*i + 95/2 = 0.
1, 95
Let -5*p**2 + 7890*p - 3112605 = 0. Calculate p.
789
Determine a, given that 4*a**4 + 8*a**3 - 32*a**2 = 0.
-4, 0, 2
Determine z, given that -12*z**5 + 100*z**4 - 228*z**3 + 124*z**2 + 96*z - 80 = 0.
-2/3, 1, 2, 5
Factor 2*m**3/9 - 36*m**2 + 4150*m/3 + 55112/9.
2*(m - 83)**2*(m + 4)/9
Suppose 2*n**3/9 + 10*n**2/9 = 0. What is n?
-5, 0
Factor -g**2/8 - 115*g/8.
-g*(g + 115)/8
Factor 3*k**3/8 - 15*k**2/4 + 75*k/8.
3*k*(k - 5)**2/8
Factor 5*h**4/2 + 55*h**3/2 - 10*h**2 - 110*h.
5*h*(h - 2)*(h + 2)*(h + 11)/2
Factor 3*y**3 - 45*y**2 - 804*y - 1404.
3*(y - 26)*(y + 2)*(y + 9)
Determine h so that 6*h**5/5 - 68*h**4/5 + 56*h**3 - 496*h**2/5 + 64*h = 0.
0, 2, 10/3, 4
Factor 3*h**5 + 12*h**4 - 177*h**3 - 378*h**2.
3*h**2*(h - 7)*(h + 2)*(h + 9)
Factor -5*f**3 + 125*f**2 - 230*f.
-5*f*(f - 23)*(f - 2)
Let -b**5 - b**4 + 17*b**3 - 15*b**2 = 0. What is b?
-5, 0, 1, 3
Find g such that g**2/2 - 473*g/2 - 237 = 0.
-1, 474
Factor -3*m**2/5 - 24*m - 105.
-3*(m + 5)*(m + 35)/5
Factor m**3/2 - m**2 - 3*m/2.
m*(m - 3)*(m + 1)/2
Let 20*n**5 - 58*n**4 + 34*n**3 + 4*n**2 = 0. What is n?
-1/10, 0, 1, 2
Factor -25*n**3 - 260*n**2 - 700*n - 240.
-5*(n + 4)*(n + 6)*(5*n + 2)
Suppose 10*y**5/11 + 4*y**4 + 16*y**3/11 - 160*y**2/11 - 224*y/11 - 64/11 = 0. What is y?
-2, -2/5, 2
Solve 3*j**3 + 3*j**2 = 0 for j.
-1, 0
Find w such that 2*w**4 - 60*w**3 + 554*w**2 - 1560*w + 1352 = 0.
2, 13
Factor 3*a**4 - 21*a**2 - 18*a.
3*a*(a - 3)*(a + 1)*(a + 2)
Factor -n**5/6 - n**4 + 8*n**3/3 - n**2/3 - 5*n/2 + 4/3.
-(n - 1)**3*(n + 1)*(n + 8)/6
Factor -3*x**3/5 - 6*x**2 + 924*x/5 + 10584/5.
-3*(x - 18)*(x + 14)**2/5
Factor 3*z**2 - 243*z - 246.
3*(z - 82)*(z + 1)
Let -24*c**3 - 57*c**2 - 42*c - 9 = 0. Calculate c.
-1, -3/8
Factor -2*s**4/11 + 26*s**3/11 + 60*s**2/11.
-2*s**2*(s - 15)*(s + 2)/11
Factor 5*l**5 - 65*l**4 + 285*l**3 - 475*l**2 + 250*l.
5*l*(l - 5)**2*(l - 2)*(l - 1)
Let 2*c**2/15 - 2*c/5 - 12/5 = 0. What is c?
-3, 6
Solve -1476*p**2 + 220*p + 24 = 0.
-3/41, 2/9
Let -20*g**5 + 75*g**4 + 20*g**3 - 320*g**2 + 240*g + 80 = 0. Calculate g.
-2, -1/4, 2
Factor -3*m**2/4 - 105*m/2 - 3483/4.
-3*(m + 27)*(m + 43)/4
Factor -2*g**2/9 - 476*g/9 - 28322/9.
-2*(g + 119)**2/9
Factor m**4/6 + 13*m**3 + 12*m**2 - 191*m/3 + 77/2.
(m - 1)**2*(m + 3)*(m + 77)/6
Suppose 2*m**4 - 2*m**3 - 2*m**2 + 2*m = 0. What is m?
-1, 0, 1
Factor -9*q**2 - 255*q - 84.
-3*(q + 28)*(3*q + 1)
Determine o so that -2*o**4 - 32*o**3 - 126*o**2 + 32*o + 128 = 0.
-8, -1, 1
Factor -16*g**2 - 20*g + 24.
-4*(g + 2)*(4*g - 3)
Factor -5*y**4 - 100*y**3 + 345*y**2 - 20*y - 460.
-5*(y - 2)**2*(y + 1)*(y + 23)
Solve -28*t**4/3 - 48*t**3 - 20*t**2/3 = 0 for t.
-5, -1/7, 0
Find z such that z**3 - 103*z**2 - 1254*z = 0.
-11, 0, 114
Factor 3*v**2 - 30*v - 513.
3*(v - 19)*(v + 9)
Solve w**5/6 - 11*w**4/6 + 7*w**3/6 + 31*w**2/6 - 4*w/3 - 10/3 = 0.
-1, 1, 2, 10
Factor -3*f**3 - 60*f**2 - 288*f.
-3*f*(f + 8)*(f + 12)
Factor 3*m**4 - 3*m**3 - 3*m**2 + 3*m.
3*m*(m - 1)**2*(m + 1)
Factor a**4/3 - 9*a**3 - 29*a**2/3 + 9*a + 28/3.
(a - 28)*(a - 1)*(a + 1)**2/3
Factor 2*s**2 + 200*s + 5000.
2*(s + 50)**2
Factor -b**3 + 26*b**2 - 45*b - 72.
-(b - 24)*(b - 3)*(b + 1)
Factor 5*a**3/8 - 21*a**2/4 - 29*a/8 + 9/4.
(a - 9)*(a + 1)*(5*a - 2)/8
Suppose 3*k**4 + 282*k**3 + 6627*k**2 = 0. What is k?
-47, 0
Factor 21*z**2/5 + 234*z/5 + 33/5.
3*(z + 11)*(7*z + 1)/5
Factor -21*f**3 - 258*f**2 + 201*f + 78.
-3*(f - 1)*(f + 13)*(7*f + 2)
Determine y, given that -3*y**4 - 15*y**3 + 42*y**2 + 108*y - 216 = 0.
-6, -3, 2
Determine m, given that m**2/3 + 186*m + 25947 = 0.
-279
Suppose -5*u**2 + 11590*u - 6716405 = 0. Calculate u.
1159
Factor 4*i**3/9 + 436*i**2/9 + 3232*i/9.
4*i*(i + 8)*(i + 101)/9
Solve -c**3/3 - 10*c**2/3 + 11*c/3 = 0.
-11, 0, 1
Let -35*q**2 + 47925*q - 13690 = 0. Calculate q.
2/7, 1369
Factor -3*c**3/4 - 201*c**2/4 + 3*c/4 + 201/4.
-3*(c - 1)*(c + 1)*(c + 67)/4
Factor -2*p**3 + 96*p**2 - 94*p.
-2*p*(p - 47)*(p - 1)
Determine g, given that 2*g**2/5 - 304*g/5 - 306/5 = 0.
-1, 153
Factor -l**2/8 + 43*l/8.
-l*(l - 43)/8
Let 3*d**3 - 182*d**2 + 119*d + 60 = 0. Calculate d.
-1/3, 1, 60
Let -v**3/4 - 19*v**2 - 551*v/4 - 119 = 0. What is v?
-68, -7, -1
Find p such that p**2 + 20*p/3 - 32/3 = 0.
-8, 4/3
Solve 2*y**4 + 8*y**3 - 60*y**2 - 136*y - 70 = 0 for y.
-7, -1, 5
Factor -a**4 - 611*a**3 + 1225*a**2 - 613*a.
-a*(a - 1)**2*(a + 613)
Suppose 5*w**4/2 - 45*w**3 - 295*w**2/2 + 3150*w + 12250 = 0. What is w?
-5, 14
Factor -5*b**4 + 715*b**3 - 2
|
{
"pile_set_name": "DM Mathematics"
}
|
235821 is divided by 235795.
26
Calculate the remainder when 93433 is divided by 2078.
2001
What is the remainder when 235218 is divided by 1125?
93
Calculate the remainder when 25396425 is divided by 60324.
21
What is the remainder when 2704044 is divided by 76?
40
Calculate the remainder when 24135602 is divided by 169969.
4
What is the remainder when 62582480 is divided by 99?
26
What is the remainder when 55834560 is divided by 290?
280
Calculate the remainder when 126419773 is divided by 32.
29
What is the remainder when 26125410 is divided by 2177117?
6
Calculate the remainder when 1677262 is divided by 557544.
4630
Calculate the remainder when 1055698 is divided by 2346.
2344
What is the remainder when 1450198 is divided by 1492?
1466
Calculate the remainder when 1135791 is divided by 177.
159
Calculate the remainder when 15767134 is divided by 1232.
1230
What is the remainder when 42539824 is divided by 413?
411
Calculate the remainder when 299479377 is divided by 759.
747
What is the remainder when 187084 is divided by 8404?
2196
What is the remainder when 2510125 is divided by 2510123?
2
Calculate the remainder when 1097374 is divided by 768.
670
What is the remainder when 264492338 is divided by 31?
28
Calculate the remainder when 40962222 is divided by 197.
12
Calculate the remainder when 238776 is divided by 238677.
99
Calculate the remainder when 1771124 is divided by 9522.
32
What is the remainder when 57645 is divided by 49?
21
Calculate the remainder when 160576 is divided by 50219.
9919
What is the remainder when 282905275 is divided by 210?
205
What is the remainder when 508661 is divided by 495?
296
What is the remainder when 36217003 is divided by 93?
13
What is the remainder when 187745 is divided by 9677?
3882
What is the remainder when 71362986 is divided by 1996?
1994
What is the remainder when 58434 is divided by 3717?
2679
Calculate the remainder when 278957 is divided by 707.
399
Calculate the remainder when 758534 is divided by 1756.
1698
What is the remainder when 753720 is divided by 68?
8
Calculate the remainder when 142001 is divided by 267.
224
Calculate the remainder when 4195283 is divided by 4.
3
Calculate the remainder when 24641778 is divided by 12320872.
34
Calculate the remainder when 2221239 is divided by 150.
39
What is the remainder when 697832 is divided by 7269?
8
What is the remainder when 1096575 is divided by 98?
53
What is the remainder when 8545028 is divided by 629?
63
What is the remainder when 2469835 is divided by 1409?
1267
What is the remainder when 38243 is divided by 16450?
5343
What is the remainder when 17533 is divided by 758?
99
What is the remainder when 479499 is divided by 13?
7
What is the remainder when 192380659 is divided by 124?
115
Calculate the remainder when 6452402 is divided by 337.
200
Calculate the remainder when 5689733 is divided by 31.
24
Calculate the remainder when 83070677 is divided by 616.
613
What is the remainder when 328653 is divided by 328581?
72
What is the remainder when 1392604 is divided by 348106?
180
Calculate the remainder when 259486621 is divided by 64.
29
Calculate the remainder when 5369507 is divided by 1083.
1076
What is the remainder when 626894 is divided by 156716?
30
What is the remainder when 15153318 is divided by 158?
12
What is the remainder when 103685669 is divided by 17280943?
11
What is the remainder when 406002 is divided by 19329?
93
Calculate the remainder when 219414103 is divided by 15.
13
Calculate the remainder when 2959652 is divided by 40.
12
Calculate the remainder when 201050 is divided by 49613.
2598
Calculate the remainder when 892082 is divided by 99.
92
Calculate the remainder when 302099 is divided by 812.
35
What is the remainder when 1188362 is divided by 53?
49
Calculate the remainder when 12330 is divided by 6123.
84
Calculate the remainder when 259583313 is divided by 86527756.
45
Calculate the remainder when 292059 is divided by 2990.
2029
Calculate the remainder when 445174 is divided by 151.
26
Calculate the remainder when 1837316 is divided by 42728.
12
What is the remainder when 38379 is divided by 4242?
201
Calculate the remainder when 76990055 is divided by 104.
103
Calculate the remainder when 55035112 is divided by 80.
72
What is the remainder when 126315 is divided by 2078?
1635
What is the remainder when 7900449 is divided by 1580082?
39
Calculate the remainder when 9319 is divided by 144.
103
Calculate the remainder when 79116 is divided by 13183.
18
Calculate the remainder when 2114002 is divided by 17187.
1
What is the remainder when 25806509 is divided by 8?
5
Calculate the remainder when 1048378 is divided by 3404.
3350
What is the remainder when 32170 is divided by 1233?
112
What is the remainder when 4302365 is divided by 1093?
317
What is the remainder when 7064709 is divided by 651?
57
Calculate the remainder when 3312187 is divided by 6.
1
Calculate the remainder when 447341 is divided by 636.
233
Calculate the remainder when 352786 is divided by 1772.
158
What is the remainder when 524722 is divided by 19428?
166
Calculate the remainder when 2239750 is divided by 12.
10
What is the remainder when 3085178 is divided by 2332?
2274
Calculate the remainder when 109847 is divided by 21956.
67
What is the remainder when 22197 is divided by 254?
99
What is the remainder when 1280682 is divided by 16632?
18
What is the remainder when 2836150 is divided by 2854?
2128
What is the remainder when 7268463 is divided by 7268454?
9
Calculate the remainder when 386274 is divided by 1146.
72
What is the remainder when 117898 is divided by 39260?
118
What is the remainder when 418042 is divided by 1118?
1028
Calculate the remainder when 3183985 is divided by 636787.
50
Calculate the remainder when 112731888 is divided by 295.
293
What is the remainder when 328132347 is divided by 82?
81
Calculate the remainder when 2370181 is divided by 2110.
651
What is the remainder when 50136995 is divided by 156?
155
What is the remainder when 9239840 is divided by 39?
38
Calculate the remainder when 2524204 is divided by 552.
460
What is the remainder when 4522077 is divided by 3340?
3057
Calculate the remainder when 1846890506 is divided by 2857.
2855
What is the remainder when 33853 is divided by 10314?
2911
Calculate the remainder when 301274 is divided by 309.
308
Calculate the remainder when 869667 is divided by 891.
51
What is the remainder when 24169 is divided by 997?
241
Calculate the remainder when 14318972 is divided by 7.
3
Calculate the remainder when 6568317 is divided by 1094718.
9
What is the remainder when 53862 is divided by 6685?
382
What is the remainder when 706276 is divided by 50333?
1614
What is the remainder when 52469 is divided by 10252?
1209
Calculate the remainder when 222312535 is divided by 14.
11
What is the remainder when 5941441 is divided by 1?
0
What is the remainder when 470314838 is divided by 5560?
5558
What is the remainder when 23875723 is divided by 10697?
19
What is the remainder when 6950107 is divided by 2734?
279
What is the remainder when 568021 is divided by 249?
52
Calculate the remainder when 319946769 is divided by 10.
9
Calculate the remainder when 29091626 is divided by 2909160.
26
What is the remainder when 16095 is divided by 4043?
3966
Calculate the remainder when 77386506 is divided by 86.
8
Calculate the remainder when 28024559 is divided by 373.
323
What is the remainder when 1164250 is divided by 70?
10
What is the remainder when 8954999 is divided by 10?
9
What is the remainder when 3727024 is divided by 857?
788
What is the remainder when 343086 is divided by 114102?
780
What is the remainder when 11830725 is divided by 65363?
22
Calculate the remainder when 98306041 is divided by 2944.
2937
What is the remainder when 78771 is divided by 24840?
4251
Calculate the remainder when 4408301 is divided by 7720.
181
Calculate the remainder when 24220 is divided by 185.
170
Calculate the remainder when 7290 is divided by 3034.
1222
What is the remainder when 6017196 is divided by 87?
15
What is the remainder when 167165 is divided by 632?
317
What is the remainder when 1915326 is divided by 2678?
556
What is the remainder when 4560063 is divided by 912010?
13
|
{
"pile_set_name": "DM Mathematics"
}
|
3*y, -826 = 3*i + h*y - 3557. Is i a composite number?
True
Let l = 1300 + 753. Is l composite?
False
Suppose -3*r = -0*r - 3, -b + 24 = -r. Let g(y) = -y - 2. Let x be g(4). Let f = x + b. Is f a prime number?
True
Suppose 5*w = -3*z + 4*w + 10, 2*w + 4 = 0. Suppose z*t + 18 - 46 = 0. Suppose -2*v - a + 10 = -t, -2*v = 4*a - 26. Is v a composite number?
False
Let u = 4118 + -2611. Is u a composite number?
True
Let i = -6568 - -19949. Is i prime?
True
Suppose -f = 3*a + 1, 2*f - 6*f = -3*a - 11. Is f/8 - 2529/(-12) a composite number?
False
Let b = 12 + -8. Suppose 0 = -b*c + 2352 - 84. Let p = c - 364. Is p a composite number?
True
Suppose -3*q + 6*q - 5*t - 24 = 0, 5*t = -15. Suppose 0 = -2*j - 0*c + c + 529, 0 = c + q. Is j a prime number?
True
Suppose 0 = c + 1836 - 8879. Is c a composite number?
False
Let v be -1 + (3/(-1))/((-6)/8). Is 2 - (v/1 + -32) prime?
True
Let j(d) = 28*d**3 + d**2 - 4*d + 3. Is j(2) a composite number?
False
Suppose -118158 - 71376 = -6*s. Is s prime?
False
Let h(m) = 187*m**2 + 7*m - 21. Is h(4) prime?
True
Let s(f) = 4*f**2 - 4*f - 1. Let q be s(-3). Suppose -3*d + 572 = q. Suppose -5*t + 3*o + d = 0, -3*t - o + 175 = 2*t. Is t a prime number?
False
Let g = 48 - 44. Is (-4 + g + 1)*(1 + 1170) prime?
True
Let u = 84 + -78. Suppose 11*a = u*a + 555. Is a a prime number?
False
Suppose 20 - 2 = 3*b. Let k(j) = j**3 - 6*j**2 - 4*j + 8. Let s be k(b). Is (-4)/s - (-387)/4 a prime number?
True
Let h(v) = -71*v + 65. Let u be h(-13). Let r = u - 249. Is r prime?
True
Let l(g) = -1613*g + 39. Is l(-4) prime?
True
Let y be (-186)/3*-1*4. Let p = 396 - y. Suppose 3*h - p = -h. Is h composite?
False
Let x be ((144/20)/(-2))/(6/(-15)). Is (x + 6)*(-3)/9*-443 composite?
True
Let w(s) = s**3 + 24*s**2 - 25*s + 33. Is w(-25) prime?
False
Suppose 10*o - 7*o + 3*h = 6582, -5*o - 3*h = -10968. Suppose -399 = 6*r - o. Is r a prime number?
False
Suppose 9*h - 4*h + 3*i - 1 = 0, 0 = -5*h + 3*i + 19. Let g(m) = -18*m + 3. Let o be g(-5). Suppose 5*y - h = o. Is y a prime number?
True
Let u(y) = -4*y**2 + 10*y + 27. Let p(c) = -7*c**2 + 21*c + 55. Let b(z) = 6*p(z) - 13*u(z). Is b(9) a prime number?
False
Suppose 8*g = -66 - 150. Is (-5052)/g + 2/(-18) a prime number?
False
Let q be (-2)/((-3)/(-18)*-2). Suppose 8 = 4*a, 3*u - a = q + 1. Suppose 0 = u*v - 614 - 85. Is v a prime number?
True
Suppose -5*s + 19 = -26. Suppose 0*o + s*o = 711. Is o a composite number?
False
Suppose -4*u = -3*n - 86639, n = -u - 3*n + 21674. Is u a prime number?
False
Let q(v) = -v**3 - v**2 + v. Let w be q(-2). Suppose -5*j = -j, -w*a - 12 = -2*j. Let i(c) = -c**3 + 3*c**2 + 4*c + 1. Is i(a) a composite number?
True
Suppose 3*z + 4*m = 5, 2*m = -4*z - 2*m + 8. Let x be (-13)/((-39)/612) - z. Let c = -142 + x. Is c a prime number?
True
Let r(c) = 2132*c + 183. Is r(7) composite?
False
Let g be 7 - (0 + (2 - 1)). Suppose 0 = -g*r - r + 12901. Is r prime?
False
Suppose 0 = -g - 78 - 74. Let t = g + 274. Suppose p - 4*j = -p + t, -p - 2*j + 41 = 0. Is p a composite number?
True
Is (-69726)/(-10) + 24/60 prime?
False
Let o(f) = 196*f + 27. Suppose 25*w - 21*w - 20 = 0. Is o(w) a prime number?
False
Let y(g) = -3*g**2 + 11*g + 7. Let c be y(9). Let b = -370 + 682. Let h = b - c. Is h prime?
True
Suppose 3*h = 5*i + 392, 4*h - 678 = -h - 4*i. Let x = h - 60. Is x composite?
True
Let q(s) = 88*s**3 + 4*s**2 - 15*s + 4. Is q(3) a prime number?
True
Is 6/4 - ((-19019)/14 - 1) prime?
True
Let p = 5350 + 9217. Is p a composite number?
True
Suppose -2*n + 274 = 2*l - 8968, -2*l - 4*n = -9242. Is l a composite number?
False
Is 2864 + 6/2 - 0 a composite number?
True
Let y = -30174 - -20193. Let s = y - -15128. Is s a prime number?
True
Let p = 20 + -11. Let v be (-3 + p)/((-1)/(-8)). Suppose -v + 159 = s. Is s a prime number?
False
Let n(s) = 7*s**2 - 3*s + 27. Is n(4) a prime number?
True
Suppose 2*s = 6*s. Let x = 1 + s. Suppose 16 = 4*r + u, 0 = -r - 5*u + 5 - x. Is r prime?
False
Let m(y) = -76*y**3 + 2*y - 1. Let h be m(1). Let p = -38 - h. Is p prime?
True
Let d(u) = 139*u**2 + 35*u + 363. Is d(-13) a composite number?
False
Suppose 0 = 856*p - 847*p - 718209. Is p composite?
False
Let b be 1 + -8 + 45/(-15). Let m = 25 + b. Is (-536)/(-6) + (-5)/m a composite number?
False
Let s = -113 + 116. Suppose -4*u = 5*v - 18043, 0 = s*u - 5*u - 4*v + 9026. Is u composite?
False
Let o = 10 - 7. Suppose 9*s - 5*s = 1896. Suppose -6*y + s = -o*y - 3*n, -4*n - 12 = 0. Is y prime?
False
Let o(q) = 82*q**3 + 2*q - 1. Suppose 0*m - 8 = -4*m. Is o(m) composite?
False
Let u(k) = 774*k**3 - k**2 + k + 2. Let q(v) = -2*v - 13. Let b be q(-6). Let i be u(b). Let p = -355 - i. Is p composite?
False
Let w be (-3 + -1)*-2*-2. Let g = -10 - w. Suppose 5*j = -4*x + 2544, -g*x + x = 3*j - 3193. Is x a composite number?
False
Let c(d) = 7*d**3 - 19*d**2 + 62*d + 5. Is c(9) composite?
False
Let s(z) = -z**2 + 3*z + 30. Let a(v) = v**2 - 4*v - 29. Let f(d) = -6*a(d) - 7*s(d). Is f(-14) a composite number?
True
Let i(c) = 87*c + 14. Let p be (20/(-16))/(2/(-8)). Is i(p) a prime number?
True
Let b = 7 + -11. Let l(k) = -7*k**3 - 6*k**2 - 6*k - 5. Let z be l(b). Suppose 0 = -2*w - 3*t + 130, -68 + z = 5*w + 2*t. Is w a prime number?
True
Suppose -4*b + 4*x = 600 + 24, 0 = b - 4*x + 171. Is (-2)/(-7) - b*(-3)/(-7) a composite number?
True
Let i(l) = l**2 + 45. Let y be i(0). Suppose 3*q + y = 2*q. Let u = 78 + q. Is u a composite number?
True
Suppose 0 = 4*p - 7*p - 387. Let g = p + 91. Is ((-3)/(-6))/(-1)*g prime?
True
Let h(n) = n**3 + 8*n**2 + 9*n - 1. Let w be h(-7). Let v = w + 12. Is (-1336)/(-2 + -2) + v composite?
False
Suppose -1248 - 30237 = -15*n. Is n a prime number?
True
Let n = -236 + -548. Let k = n + 1371. Is k composite?
False
Let m be 9/7 + 16/(-56). Suppose -5*n + 5*h - 15 = 0, 0 = 4*n + 3*h + 6 + 6. Is 164*m - (-9)/n a prime number?
False
Let i(r) = -r**3 - 4*r**2 - 2*r + 6. Let f be i(-3). Suppose f*w + 0*w - 327 = 0. Is w prime?
True
Let b be ((-2652)/(-1))/(1 - (-7)/(-5)). Is (b - -2)*(-15)/60 a composite number?
False
Let t(r) = -r**2 + 4*r + 8. Let j(v) = -v**2 - v - 1. Let c(u) = -2*j(u) + t(u). Let x be c(-4). Suppose x*b = 45 + 73. Is b a composite number?
False
Suppose 2*o - 177650 = -k, 20*k = 25*k - 20. Is o composite?
True
Let r = 2988 - 856. Let k = 3002 - r. Let s = k + -401. Is s composite?
True
Is ((-304)/(-80) - 6)*(-2704 + -1) a prime number?
False
Suppose -4*i + 0*i + 2292 = 0. Suppose -3*z = -6*z + i. Is z a prime number?
True
Let j(v) = -v**3 - 13*v**2 - 12*v - 3. Let q be j(-12). Let w be 4/(-2) + (-1 - q). Suppose s + 3*s - 460 = w. Is s prime?
False
Let d = -18 - -18. Suppose d = -16*r + 9*r + 3409. Is r a composite number?
False
Suppose 4*g = -6*d + 7*d + 4747, 2*g = -4*d + 2378. Is g a prime number?
True
Let k be 5/(4 - (3 + 0)). Suppose -4*m - 29 - k = -5*q, 28 = 5*q + 2*m. Suppose p - 3*p = q, -5*p + 109 = 4*v. Is v composite?
False
Suppose -22*y - 97 = -c - 21*y, 3*y = 5*c - 487. Let n be ((-6)/(-2))/(6/4). Suppose n*r = c - 12. Is r composite?
False
Let p(h) = 644*h - 1. Is p(3) a prime number?
True
Let v be 4 + (12*-1*1 - -4). Is 5 - 3488/v - -2 prime?
False
Suppose -148 = 4*t - 156, 5*t - 40761 = -i. Is i prime?
True
Suppose -2*m = 3*c - 706 - 3936, 4642 = 2*m + 5*c. Is m prime?
False
Let g = 2860 - -15229. Is g a composite number?
False
Let d be ((-10)/4)/((-3)/(-12)). Let y(m) = -3*m + 2*m + 3*m**3 - 5*m - 2*m**3 + 16*m**2 - 11. Is y(d) a composite number?
True
Suppose y + 26 = -5*c, -y + 0*y - 3*c - 18 = 0. Is ((-3596)/y)/((-2)/(-3)) composite?
True
Suppose -8*u + 717 = -5*u. Is u a prime number?
True
Suppose 22 = 2*k - 2*y, -4*y = 2*k - 9 - 1. Suppose 3*u - 1777 = -2*a + k, -a - 4 = 0. Suppose 0 = -q - 35 + u. Is q a composite number?
False
Let s be -2 + 5/(5/3). Suppose 1 = i - s. Suppose i*y - m - 78 = -2*m, 3*y - 123 = -3*m. Is y prime?
True
Suppose 4*k = -0*r + 4*r + 44, -3*r + 7 = 2*k. Is 2*((-6)/2 - (-2252)/k) a prime number?
True
Suppose -14 - 31 = -9*o. Suppose -2*a - 2 = -o*g + 395, -2*g + 157 = a. Is g a prime number?
True
Suppose -12 = 5*k - 32. Suppose -3*f + 12 = 0, 2940 = k*y - 0*y - 2*f. Is y prime?
False
Suppose 0 = 2*i + 10 - 18. Suppose i*m + 12 = 0, 3*m + m = 4*x + 228. Let p = x + 179. Is p a prime number?
False
Sup
|
{
"pile_set_name": "DM Mathematics"
}
|
ose -3*b + 129 + 15 = 0. Let i be 26/(2/b*(-68)/1275). Round i to the nearest 10000.
-10000
Suppose -3*z = 2*c - 12, 3*c - 5*z + 7 = -13. Suppose c = -8*n - 254352 - 129648. What is n rounded to the nearest ten thousand?
-50000
Let q = 330 + -381.7. Round q to 0 decimal places.
-52
Suppose 3*f + f + 1371198 = -k, 4*k = -f - 342792. What is f rounded to the nearest one hundred thousand?
-300000
Let u = 319 - 224. Let k = u - 94.995. Round k to three decimal places.
0.005
Let w = 136.1 + -130.824. Round w to 1 dp.
5.3
Let r = -1.4 + 1.432. Let g = r - 0.031. Round g to three decimal places.
0.001
Let n = 364.59 + 106.31. Round n to the nearest ten.
470
Let n = -0.09386066596 + 134.09386115596. Let w = n - 134. What is w rounded to 7 decimal places?
0.0000005
Let f = 46458954011.000000068 + -46458953924. Let a = 87 - f. What is a rounded to 7 dps?
-0.0000001
Let b be -8 + 8 + 1/((-1)/(-12)). Let z be (-1)/6 - 163199998/b. What is z rounded to the nearest one million?
-14000000
Let a = -16.1 + 16.1000108. Round a to 6 dps.
0.000011
Suppose -w - 4017996 = -m - 0*m, 5*m = -20. Round w to the nearest 1000000.
-4000000
Suppose -12 = 5*p - 6*p. Let y(j) = j**3 - 13*j**2 + 12*j + 5. Let g be y(p). Let b(s) = 144000*s**2. Let a be b(g). Round a to the nearest 1000000.
4000000
Let h = -1510.925 - -1416. Let g = h + 95. Round g to 2 decimal places.
0.08
Let j = -11.9 - -12. Let r = 108.1 - j. Let x = -108.000257 + r. What is x rounded to 5 decimal places?
-0.00026
Let r = -346366700.71 + 6766122.71. Let w = -339600549.0000106 - r. Let n = 29 - w. What is n rounded to six decimal places?
0.000011
Let v = -11 + 10.92. Let r = v + 0.07999995. What is r rounded to seven decimal places?
-0.0000001
Let i = 15.09 - 16.4. Round i to 1 decimal place.
-1.3
Let w be ((-662)/(-4))/(5/2870). Suppose -2*a - 190001 = d, a = -0*d + 3*d - w. What is a rounded to the nearest ten thousand?
-100000
Let m = 367 - 515.4. Let s = m + 17.4. Let y = s + 131.00189. Round y to 4 dps.
0.0019
Let n = 512 - 485.875. Let r = -26 + n. Let k = r + -0.288. What is k rounded to two decimal places?
-0.16
Let x(r) = -25*r - 10589000. Let n be x(0). What is n rounded to the nearest 100000?
-10600000
Let o = 7.04 + -7. Let r = 2.04 - o. Let l = r - 1.99999. Round l to 6 decimal places.
0.00001
Suppose 5971 = 18*r + 54787. Let t = -1902 - r. Round t to the nearest 100.
800
Let w(i) = i**2 + 24*i + 49. Let l be w(-22). Suppose 4*n - 3*q + 5*q = 287604, -l*q = 3*n - 215710. Round n to the nearest ten thousand.
70000
Let o(u) = 979478*u**2 - u - 1. Let w be o(-3). Let r = w + -3146014. Let y = -13369290 + r. Round y to the nearest one million.
-8000000
Let k be 6/((-9)/(-228435)*1/(-10)). What is k rounded to the nearest 100000?
-1500000
Let p = -0.254 + -0.016. Let a = 0.269996 + p. Round a to six decimal places.
-0.000004
Let t = 8940.915 + -8916. Let b = 25 - t. Round b to 2 dps.
0.09
Let y = 79.02 - 0.02. Let n = y + -79.000134. Round n to 5 dps.
-0.00013
Suppose -22*z = -4*m - 18*z + 79120016, 0 = -4*m - 2*z + 79119992. Round m to the nearest 1000000.
20000000
Let j = -0.03782 + -17.16418. Let m = j + 17.5. Round m to 2 decimal places.
0.3
Let c = -3.93 + 14.64. Let y = c + 0.29. Let g = -10.999978 + y. Round g to five decimal places.
0.00002
Let p = -81 + -31. Let q = p + 347. What is q rounded to the nearest ten?
240
Let p = -25 + 7. Let v = 18.76 + p. What is v rounded to 1 dp?
0.8
Let q be (1 + 0)*-163*(-2)/(-2). Let x = q + 55. What is x rounded to the nearest ten?
-110
Let m = -29.8 - 40.6. What is m rounded to the nearest 10?
-70
Let c = -106 - -77. Let q = -1011.264832 - -1040.2649. Let s = q + c. Round s to 5 dps.
0.00007
Let s = 1052960511.0000202 - 1052960354. Let j = 157 - s. What is j rounded to 6 dps?
-0.00002
Let d = 16501 - 95701. Round d to the nearest 1000.
-79000
Let q(o) = -2*o - 4. Let b be q(-3). Let h be ((-4)/(-5))/((-4)/(-40)). Suppose b*z - h = 3*z. What is z rounded to the nearest 10?
-10
Let v(x) = -x**3 + 8*x**2 + 10*x - 3. Let w be v(9). Let z be 10442/12 - 1/w. What is z rounded to the nearest 100?
900
Suppose 4*r + n + 781 = 0, 46 = -5*r + n - 919. Let h = 39 - r. Round h to the nearest ten.
230
Let h = -1952 - -1951.7719. What is h rounded to 2 dps?
-0.23
Let f = 403 + -403.0000041. Round f to six dps.
-0.000004
Let h = -5.8780996 + 6.1781. Let u = 0.3 - h. Round u to 6 decimal places.
0
Let s = -46.396 + 0.196. Let j = -42 - s. Let p = j + -4.200054. Round p to 5 dps.
-0.00005
Let y = 3.485 - 0.055. Let f = 46.53 - y. What is f rounded to zero decimal places?
43
Let b = 812.4 + -812.40009002. What is b rounded to five decimal places?
-0.00009
Let q = -6 - -50. Let n = -43.99976 + q. What is n rounded to four decimal places?
0.0002
Let t = -552930 - -552890.9983. Let z = t + 39. What is z rounded to four dps?
-0.0017
Let d = -1.1 + -1. Let y = 580.924 - 579. Let q = y + d. What is q rounded to two decimal places?
-0.18
Let n = 20 + -50. Let f = n - -29.983. What is f rounded to three decimal places?
-0.017
Let z be 3/(-2*(-3)/5372912). Suppose 736456 = -l + z. What is l rounded to the nearest one hundred thousand?
2000000
Let j = -219.99999954 + 220. Round j to seven dps.
0.0000005
Suppose -4*p + p + 6 = 0. Let c be ((-325000)/13)/(p/(-272)). Round c to the nearest 1000000.
3000000
Let x = 349.98956 + -350. What is x rounded to 3 decimal places?
-0.01
Let c = 5.3 + 28.7. Let k = -34.52 + c. Let o = k + 0.21. Round o to 1 dp.
-0.3
Let j = -41 + 17. Let a = j - -24.01. Let g = -0.01000048 + a. What is g rounded to seven dps?
-0.0000005
Let g = -44.1 + 9.1. Let v = g + 35.00000042. What is v rounded to 7 decimal places?
0.0000004
Let r = 2.6 - 3.3. Let s = 3.7 - r. Round s to zero dps.
4
Suppose -26*g + 12*g + 1908732 = 0. Suppose 0 = 6*z - 2*z - 105352. Let k = g - z. Round k to the nearest 10000.
110000
Suppose -4*a - 3 = -l + 4, 2*a + 6 = -2*l. Let d be (-1 - a) + (-3480666)/(-6). Let m = d - 1120112. Round m to the nearest one hundred thousand.
-500000
Let g = -299 - -563. What is g rounded to the nearest one thousand?
0
Let r = 23 - 21. Suppose -4*q + 14664 = -r*q + 3*p, q - 7333 = -p. Suppose -3*g - 7065 - q = 0. Round g to the nearest one thousand.
-5000
Let n be (-2)/(-15) + 256/(-120). Let h be ((-179999997)/(-9) - n/6) + 0. Round h to the nearest 1000000.
20000000
Let a = -722 - -721.76. Let s = 654933.7600036 - 654934. Let l = s - a. Round l to six decimal places.
0.000004
Let r = 6 + -4. Let p be -1 + (1 - r) + -195121. Let n = -102123 - p. Round n to the nearest ten thousand.
90000
Let f = -216 + 372.55. Round f to the nearest 10.
160
Let j = -1.03 - -164.03. Let m = j - 214.5. What is m rounded to the nearest integer?
-52
Let m = 18 - 50. Let g = 35 + m. Suppose -g*t - 126000 = -t. Round t to the nearest 10000.
-60000
Suppose 4*l + 2*l = -276000. What is l rounded to the nearest one thousand?
-46000
Let k = 699283.5425845 + 16089575.95741545. Let a = k + -16788859. Let z = a - 0.5. What is z rounded to seven decimal places?
-0.0000001
Let t = -116.0387 - 86365360.9613. Let i = -86365478.59999973 - t. Let o = -1.6 - i. What is o rounded to 7 dps?
-0.0000003
Suppose -10*o = -19*o + 746280. Round o to the nearest 1000.
83000
Let p = 29 + -16. Let l = -20 + p. Let d = l + 6.9996. What is d rounded to 4 decimal places?
-0.0004
Let d = 9.4 + -9.31575. Round d to two dps.
0.08
Let y = 11741.921 - 11743.19099448. Let j = y + 1.27. What is j rounded to seven dps?
0.0000055
Suppose 64*n + 1035000 = 66*n. What is n rounded to the nearest 10000?
520000
Let s = 13.787 + -0.087. Round s to the nearest integer.
14
Let i(j) = 39*j. Let x be i(9). Let n(f) = 43*f + 7. Let v be n(-6). Let k = x + v. Round k to the nearest one thousand.
0
Let j = -0.014216 + 0.0155. Round j to four dps.
0.0013
Let j = 2.5 + -2.3. Let q = -2235.20055 + 2235. Let g = j + q. What is g rounded to 4 dps?
-0.0006
Let y = -0.8 + 0.93. Let p = y + -0.129948. What is p rounded to five dps?
0.00005
Let f = 54.78715 + -7.7884. Let q = -47 + f. What is q rounded to 4 decimal places?
-0.0013
Let q = -7615 - -7615.00007581. Round q to 5 decimal places.
0.00008
Let b = 2330 - 2087.5. What is b rounded to the nearest ten?
240
Let z(m) = 446150*m + 50. Suppose -i - 47 = -4*p, 4*i = 11 + 9. Let v b
|
{
"pile_set_name": "DM Mathematics"
}
|
t(147) - sqrt(147)*-2))**2*-2*5 - (((sqrt(147) + -1)*-6)**2 + (-2*sqrt(147) + -1 - sqrt(147) - sqrt(147))**2).
-20951 + 1288*sqrt(3)
Simplify sqrt(22)/(sqrt(11)*-1) + (sqrt(242) - (sqrt(242)*2 + sqrt(242))) - (0 + (sqrt(4) + sqrt(8)/sqrt(2))/sqrt(2)) - (sqrt(224)*6)/(sqrt(700) - 3*sqrt(700)).
-119*sqrt(2)/5
Simplify 4 + 2 + 2 + (sqrt(252) - -6*(sqrt(252) + -2) - -5*(sqrt(252)*2)**2)*2.
84*sqrt(7) + 10064
Simplify (((sqrt(297) + -2*sqrt(297)*-3 + sqrt(297) - sqrt(297) - sqrt(297))/(-1*sqrt(539)))/(sqrt(225) + (sqrt(225)*2 - sqrt(225))*-6 + -1*-2*sqrt(225)))**2.
12/1225
Simplify (6*1*sqrt(110)*-2*6)/((sqrt(1000) + (sqrt(1000)*1 - sqrt(1000)))*-6 + (2*sqrt(1000)*1 - sqrt(1000))).
36*sqrt(11)/25
Simplify (4*sqrt(136)/(sqrt(8)*-1*-1 + sqrt(8)) - (sqrt(17)*3*6*-5 + 2))**2*-1.
-143892 + 368*sqrt(17)
Simplify ((sqrt(117)/sqrt(3) - sqrt(39))*-4)/(sqrt(18)/sqrt(6)*-2) - ((sqrt(13)*-2*-5)**2 + 3*(0 + sqrt(13) + sqrt(13)))*5*3.
-19500 - 90*sqrt(13)
Simplify 3*(sqrt(119) - (sqrt(119) - (4*((sqrt(119) - (-3*sqrt(119) + sqrt(119))) + sqrt(119)) + sqrt(119))) - -3*4*sqrt(119))/(-3*2*sqrt(343)*-1).
29*sqrt(17)/14
Simplify ((-3 + sqrt(396) + 0 + 2 + (sqrt(11) - (sqrt(11) + -1)) + -1 + (sqrt(99)/sqrt(3))/sqrt(3) + sqrt(11))*1*2)**2.
-64*sqrt(11) + 2820
Simplify -6*(sqrt(45)*-6 + -3)**2 + (6*(sqrt(320) - -2*sqrt(320)) - 5*(sqrt(320) + sqrt(320) + -1))**2.
-8*sqrt(5) + 10731
Simplify 5*(-3*6*5*(sqrt(1900) - (2 + sqrt(1900))**2) + 4)*4.
54000*sqrt(19) + 3427280
Simplify ((-3*(sqrt(2) + -2 + sqrt(6)/sqrt(3))*-2 + (1 + sqrt(20)/(2*sqrt(10)))*1)*-2)**2.
-1100*sqrt(2) + 1734
Simplify -6*(sqrt(108) + (2*sqrt(108))**2 + sqrt(108)) - (sqrt(108)*-3*-3)**2 - (-5*(sqrt(108) + 1*sqrt(108))**2 - sqrt(108)*-2*4).
-9180 - 120*sqrt(3)
Simplify ((sqrt(144) - sqrt(144)*-2 - sqrt(144)) + sqrt(144))/sqrt(12)*-2 - (sqrt(3) + (sqrt(3) + -3 + sqrt(3))**2 + -2 - 3*sqrt(3)*-4).
-13*sqrt(3) - 19
Simplify (3*sqrt(136))/(sqrt(2) - sqrt(32)*-1) + ((sqrt(17)*-2 + 5 - -3*sqrt(272))*-5)**2.
12506*sqrt(17)/5 + 43125
Simplify ((sqrt(171) + sqrt(171)*2*-1 + sqrt(171))*4*2)/((((sqrt(90) - sqrt(90)*1 - sqrt(90)) + sqrt(90))*4 + sqrt(90))/(sqrt(70)/sqrt(112))).
0
Simplify (0 + sqrt(245) + -5 + -2*sqrt(245) + 2 + (sqrt(245)*2 + 2 + sqrt(245) + -6*1*sqrt(245) + sqrt(245))*2 + 4)**2.
-350*sqrt(5) + 6150
Simplify ((sqrt(441)*-2)/sqrt(9) + sqrt(49) - sqrt(245)/sqrt(5)*4)/((-6*sqrt(784))/(sqrt(84)/sqrt(108)))*-6.
-5*sqrt(7)/12
Simplify 2*((2 + sqrt(72))**2 + -4 - sqrt(72)) + (sqrt(72) - (1*sqrt(72) + -3)) + (-2 + sqrt(72))**2 + 5.
12*sqrt(2) + 228
Simplify (sqrt(64)*1 - (1*sqrt(176))/sqrt(11))/((sqrt(220)/(sqrt(55)/sqrt(5)))/(sqrt(40)*2)).
8*sqrt(2)
Simplify (6*(sqrt(187)*1 + sqrt(187))*-1*3)/((sqrt(220)/sqrt(4)*-6 - sqrt(55))/(sqrt(20)/sqrt(4)*5)).
180*sqrt(17)/7
Simplify (5 + 1 + (sqrt(1300)*2*-2 - -5*(0 + sqrt(1300)))*-4 + -3)**2.
-240*sqrt(13) + 20809
Simplify 4 + (sqrt(15)/sqrt(5) + -1 - (4 + sqrt(9)/sqrt(3) + sqrt(3))) + ((sqrt(384)*-5)/((sqrt(8) - sqrt(200)*-4) + sqrt(8)))**2.
-sqrt(3) + 179/121
Simplify ((-5*(sqrt(385) + sqrt(385)*1 - sqrt(385)))/(sqrt(7) - 2*(sqrt(7) - (sqrt(7) + sqrt(28)/sqrt(4))) - sqrt(7)))/((4*sqrt(10)/sqrt(2) + sqrt(1125))*-3).
5*sqrt(11)/114
Simplify (3 + -6*(((((sqrt(2057) + 1 - sqrt(2057)) + sqrt(2057))*-2)**2 - sqrt(2057)) + -3) + 0 + -2)*6.
-296238 - 2772*sqrt(17)
Simplify 4*(sqrt(1584) + (sqrt(1584) + 3)**2 + 0) + (sqrt(44)*2*5 - ((sqrt(44) + 2)*5)**2).
156*sqrt(11) + 5172
Simplify -3*(((sqrt(1900) + 0)*-3 + 1)**2*4 - 1*(4 + (2*sqrt(1900) - sqrt(1900))**2*2)).
-193800 + 720*sqrt(19)
Simplify (1*sqrt(360)*-2*-5)/((4*(sqrt(2) + sqrt(2) + sqrt(2)*-2) - sqrt(150)/sqrt(3))*1).
-12*sqrt(5)
Simplify (sqrt(156) - (sqrt(156) - -6*1*sqrt(156)) - (sqrt(156) + 5*sqrt(156)*2))/((sqrt(84) - (sqrt(84) - -1*2*sqrt(84)) - sqrt(84))/(3*sqrt(28))).
34*sqrt(13)
Simplify 4*(3 + (-1 + sqrt(17))*-6 - (0 + sqrt(272)*1))*-5*-4.
-800*sqrt(17) + 720
Simplify 5 + (-1 + (-3 + sqrt(405) + sqrt(405) + sqrt(405)*2 + -2*sqrt(405) + 5)**2 + 2)*2*3.
432*sqrt(5) + 9755
Simplify 2*-5*(2*sqrt(1500))/sqrt(12) + (-1 + ((sqrt(20)*2)/sqrt(4))**2 - (-6*sqrt(15)/sqrt(3) + sqrt(5) + (-3 + (sqrt(20)/sqrt(4) + sqrt(5))**2 - sqrt(5)))).
-94*sqrt(5) + 2
Simplify (-1*sqrt(208)/sqrt(4))/(sqrt(180)/sqrt(5)) + (-4 + sqrt(325) + 1 - (sqrt(325) + 1 + (sqrt(325) - ((sqrt(325) - sqrt(325)*1) + sqrt(325))**2))).
-16*sqrt(13)/3 + 321
Simplify (-5*sqrt(1152)*2*-2 - (-2 + ((sqrt(32) - 1*(sqrt(32) + 2*sqrt(32))) + -3)**2))*-6.
-2592*sqrt(2) + 810
Simplify (-5 + -6*3*(4 + sqrt(125) + -1*sqrt(125) + -1 + 1 + 0))**2.
5929
Simplify -3*3*(-4 + (3*(1*sqrt(18)/sqrt(3))/sqrt(2))**2 + 2).
-225
Simplify 4 + ((sqrt(2816)*-2 + sqrt(2816))*5)/(sqrt(48)/((sqrt(108) + 2*sqrt(108))/sqrt(9) - sqrt(12))).
-80*sqrt(11) + 4
Simplify (-5*(sqrt(117)*-1*-2 - (6*(sqrt(117)*-1 - sqrt(117) - sqrt(117)) + sqrt(117))))/((sqrt(108) + sqrt(108) + -6*(sqrt(108) - sqrt(108)*1))/(sqrt(768)*1)).
-380*sqrt(13)
Simplify (-2*sqrt(1452) + sqrt(1452) - (sqrt(36) + sqrt(900) - sqrt(36) - sqrt(36))/sqrt(3))/(sqrt(72)/(sqrt(12)*-2) - sqrt(216)*1).
30*sqrt(2)/13
Simplify (-3 + -3 + 4*(sqrt(275) + -1) + 4 + 3)**2*1.
-120*sqrt(11) + 4409
Simplify ((sqrt(36) + (1*sqrt(180))/sqrt(5))/(sqrt(300) - sqrt(300)*2) + ((0 + sqrt(147))**2 - ((sqrt(147) + 0)**2 + sqrt(3) + sqrt(3) - sqrt(3))))*1.
-7*sqrt(3)/5
Simplify ((sqrt(95)*1*3)/(sqrt(15)/sqrt(3)*2))**2 - (1*(sqrt(152) + sqrt(152)*-2))/(-1*sqrt(800) - sqrt(800)).
-sqrt(19)/20 + 171/4
Simplify (2*sqrt(85)*-2)/(4*sqrt(20)/sqrt(4))*1 + ((1 + (sqrt(1088)*-1 - sqrt(1088)))**2 - (2 + sqrt(17) + sqrt(17)*1 + 1)**2).
-45*sqrt(17) + 4276
Simplify 1*(((2*(-5*sqrt(171) + sqrt(171)) + sqrt(171))/(sqrt(576) - (sqrt(576)*2 + sqrt(576))) + -3)**2 + 2)*1.
-21*sqrt(19)/8 + 3747/256
Simplify 2*(-1 + (2 + 1 + sqrt(208) + 6*(0 + sqrt(208)) + 1)**2 + 1 + (sqrt(208) + (sqrt(208) - (0 + sqrt(208))))*3 + (4 + (-2*sqrt(208) - sqrt(208)))**2).
280*sqrt(13) + 24192
Simplify (3 + ((sqrt(2299) - (3*sqrt(2299) + sqrt(2299))) + 4 - sqrt(2299) - sqrt(2299)) - 1*(sqrt(152)*-4*2 + sqrt(152) - sqrt(152))/sqrt(8))**2.
-658*sqrt(19) + 42020
Simplify ((sqrt(75) + sqrt(75)*-1 + 2)**2 - 2*-1*sqrt(75))*6 + -2*(sqrt(75) + 3*sqrt(75)) + (1*(sqrt(75) + sqrt(75) + -1 + sqrt(75)))**2.
-10*sqrt(3) + 700
Simplify (-6*(2*(sqrt(720) - (2 + (sqrt(720) - (sqrt(720) + -2)))) + -2 + 4*(-5*2*sqrt(720) + -4 + sqrt(720)*2 + sqrt(720))))**2.
584064*sqrt(5) + 17546256
Simplify ((sqrt(832) + 3*(1 + sqrt(832)) + (sqrt(832) - (1 + sqrt(832) - sqrt(832)))*3 - (2 + 4*(-1 + sqrt(832))))*3)**2*-6 + -2.
-404570 - 5184*sqrt(13)
Simplify (-5*sqrt(156)/sqrt(4))/(-1*(sqrt(27) - sqrt(3))) + (-5*2*sqrt(130))/(-1*-2*sqrt(10)).
-5*sqrt(13)/2
Simplify (1*(sqrt(12) - (sqrt(12) - (sqrt(12) - sqrt(72)/sqrt(6))))*3 - (-2 + sqrt(300) + 1))**2 + -4.
-20*sqrt(3) + 297
Simplify (-4 + -5*(-3 + (sqrt(525)*5)/(sqrt(252) + -2*sqrt(252))*4))**2.
5500*sqrt(3)/3 + 62863/3
Simplify -4 + sqrt(304)*-2*-2 + sqrt(304) + 5 + (1 + sqrt(304) + sqrt(304))**2 + 4 + 2 + sqrt(304) + -3.
40*sqrt(19) + 1221
Simplify ((((sqrt(250)*1)/sqrt(5))/(sqrt(810)*1) - (-5*sqrt(5)*3*6 + -2))*-6)**2.
12976*sqrt(5) + 13155716/9
Simplify (4*sqrt(4752)*5 - sqrt(4752))/(5*(2*sqrt(396) + sqrt(11))).
228*sqrt(3)/65
Simplify (-4 + -3*(4*sqrt(243)*2 - sqrt(243)))**2 - (sqrt(30) + 2*sqrt(120))/(sqrt(40)*4 - sqrt(10))*-3.
10599*sqrt(3)/7 + 107179
Simplify (-1 + (sqrt(20) + (-2 + (sqrt(80)/sqrt(4))**2 - sqrt(20)) - sqrt(20)) - ((sqrt(100) + sqrt(100) + (sqrt(100) - -1*sqrt(100)))/sqrt(5))**2*3) + -4.
-947 - 2*sqrt(5)
Simplify -2 + sqrt(20) + 5 + sqrt(500)*2 + 5*(sqrt(20) + 5 + sqrt(320)).
28 + 72*sqrt(5)
Simplify (-2 + (sqrt(637) + 2 + 2 + 1)*-5 + 1 + 5)**2.
1470*sqrt(13) + 16366
Simplify (6*-3*((2 + sqrt(720)*-2 - (-2 + -2*sqrt(720))) + -1))**2.
2916
Simplify 1*-6*-5*((2*sqrt(242) + -3)**2 - ((sqrt(242) + -1)**2 + 2)) + -5.
-3300*sqrt(2) + 21955
Simplify -5 + (sqrt(125) + 5)**2*-6 - (3 + sqrt(20) + (sqrt(100)/(sqrt(5) - -1*sqrt(5)))**2).
-913 - 302*sqrt(5)
Simplify (6*(sqrt(147) + -1) - (-2*sqrt(147)*-4 - sqrt(147)))**2*-1 - (0 + sqrt(192) + sqrt(48) + -2*sqrt(108)*2).
-183 - 72*sqrt(3)
Simplify ((sqrt(128) - sqrt(128)*-5 - sqrt(2)) + 4 + (sqrt(2) - (sqrt(2) - (sqrt(2)*-2 + sqrt(2)))*-5)*3 + 2)**2.
960*sqrt(2) + 12836
Simplify (3 + (((sqrt(77) - 5*sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
2466*c**2*y + 97730*c*y wrt c.
-24932*y
Find the second derivative of 2*l**5 - 2*l**3*y + 5*l**3 + 603*l**2 + l*y + l - 4*y - 1758 wrt l.
40*l**3 - 12*l*y + 30*l + 1206
Find the third derivative of -3*a*w**6 + 3180*a*w**5 + a*w**2 + 10047*a wrt w.
-360*a*w**3 + 190800*a*w**2
What is the second derivative of 213831*b**4 - 342*b - 253 wrt b?
2565972*b**2
What is the derivative of 89586*v**3 + 68152 wrt v?
268758*v**2
What is the first derivative of 10584*o**3*t - 4*o**2*t - o*t**3 - 29*t**3 + 5962*t**2 wrt o?
31752*o**2*t - 8*o*t - t**3
Find the third derivative of -8*a**5 + 140*a**3 + 31155*a**2.
-480*a**2 + 840
Find the third derivative of -1116148*d**4 + 3*d**3 - 3*d**2 + 70544 wrt d.
-26787552*d + 18
Find the third derivative of -5019*l**5*v**2 - 8*l**5*v + 371*l**2 + 709*v**2 wrt l.
-301140*l**2*v**2 - 480*l**2*v
What is the second derivative of 2280476*c**3 - 2649710*c?
13682856*c
What is the third derivative of 1277901*a**4 - 895180*a**2 wrt a?
30669624*a
Find the third derivative of -221945*d**3*m**3 - 3*d**3*m**2 + 17779*d wrt m.
-1331670*d**3
What is the second derivative of -1061309*q**2*y**2 - 2*q**2*y - 13*q*y**2 - 1332*y**2 - 2*y - 2 wrt q?
-2122618*y**2 - 4*y
What is the second derivative of -4*w**3 - 526*w**2 - 9381*w + 8?
-24*w - 1052
What is the second derivative of -8*a**3*c**2 - 454*a**3*c + 3*a**3 + 9*a**2*c**2 + 3*a**2 - 6*a*c**2 - a*c - 4*c**2 - 20 wrt c?
-16*a**3 + 18*a**2 - 12*a - 8
Find the third derivative of 2*h*w**4 - 180*h*w**3 + 101106*h*w**2 + h + 2686*w**4 + 3*w**2 wrt w.
48*h*w - 1080*h + 64464*w
What is the second derivative of 2852425*h**2 - 1784768*h wrt h?
5704850
What is the third derivative of 1187628*s**3 + 429492*s**2?
7125768
What is the first derivative of 2*c**2 - 3682*c - 90371?
4*c - 3682
What is the third derivative of -569*d**3*g**3 + 4*d**3*g + 20*d**3 - 13*d**2*g**3 - 4*d**2*g + d**2 - 126*g**3 + 2*g**2 wrt d?
-3414*g**3 + 24*g + 120
What is the third derivative of -22*t**4 + 95*t**3 + 51*t**2 + 2*t - 1?
-528*t + 570
What is the second derivative of 7*a**4*k**3 - 70587*a**4 + 7*a*k**3 + 14*a + 273*k**2 - 1 wrt a?
84*a**2*k**3 - 847044*a**2
Differentiate 160*n**2*z**2 + 27*n**2 + 27*n*z**2 + 5*z**2 + 21*z + 344 wrt n.
320*n*z**2 + 54*n + 27*z**2
What is the second derivative of 7*c**3 + 12247*c**2 + 48692*c?
42*c + 24494
Find the second derivative of m**3*t**3 + 4*m**3 - 2058*m**2*t**3 - 5257*m*t**3 + 37*m*t**2 wrt m.
6*m*t**3 + 24*m - 4116*t**3
Differentiate -408*m**3 - 2*m**2*u + 235*m**2 - 447659*u wrt m.
-1224*m**2 - 4*m*u + 470*m
Find the first derivative of -2*f*r - 36*f*z - f - 2*r**4*z + 2164*r*z - 2*z + 88 wrt r.
-2*f - 8*r**3*z + 2164*z
Find the first derivative of 109*a*p - 26817*a*y**2 + 5*a + 2*p*y**2 + 8*p - 1 wrt y.
-53634*a*y + 4*p*y
What is the third derivative of -7*a**2*z**4 - 66*a**2*z - 14441*a*z**4 - 2031*a*z**2 wrt z?
-168*a**2*z - 346584*a*z
Find the first derivative of d**3*j - 9804*d**3 - 16*d**2*j + 2*d**2 + 34*d*j - 2*d + 839*j - 1 wrt j.
d**3 - 16*d**2 + 34*d + 839
Find the third derivative of 5173*u**6 + 319*u**3 - 4166128*u**2 wrt u.
620760*u**3 + 1914
Find the first derivative of -23*s*u**4 + 266*s*u**2 - 8*s*u - 253106*s wrt u.
-92*s*u**3 + 532*s*u - 8*s
Differentiate -125243*d - 47766 wrt d.
-125243
What is the first derivative of -52*j**2*q + 39*j**2*r + j*r**2*y + 3651*q*r**2 + q*r*y - 2*r**2*y - r**2 wrt j?
-104*j*q + 78*j*r + r**2*y
Find the third derivative of -39474*b**6 - 21*b**4 + 14*b**2 - 60768*b wrt b.
-4736880*b**3 - 504*b
Differentiate 16934*k**4 - 2*k**3 - 2*k - 35296.
67736*k**3 - 6*k**2 - 2
What is the first derivative of 1812*n**2*w + 1609*n**2 + 219*n*w**4 - 164 wrt w?
1812*n**2 + 876*n*w**3
Find the second derivative of -203967*b**2 + 14*b - 642.
-407934
Find the second derivative of -6*h**2*l**2*s - 56724*h**2*l*s + 11*h*l**2*s - 2*h*l + 827*h - 4*l wrt h.
-12*l**2*s - 113448*l*s
Find the first derivative of 2029374*m - 2969494.
2029374
Find the third derivative of p**6*z**2 + 5615*p**3*z**3 + 41*p**2*z**2 - p**2 + 132*p*z**3 - 2*z**3 wrt p.
120*p**3*z**2 + 33690*z**3
Find the third derivative of 87431*y**4 + 1386*y**2 wrt y.
2098344*y
Differentiate 1669768*z - 876021 wrt z.
1669768
Find the third derivative of 113432*p**5 - 12*p**2 - 148*p wrt p.
6805920*p**2
Find the second derivative of -3987*g**2*i**2 - 2*g**2*i - 3*g*i**2 + 1301*g*i wrt g.
-7974*i**2 - 4*i
Find the second derivative of 11*k**4 + 13*k**2 - 39311*k.
132*k**2 + 26
What is the second derivative of -4*i**2*v**2 + 2*i**2*v + 609*i**2 + 14401*i*v**2 wrt i?
-8*v**2 + 4*v + 1218
What is the first derivative of -193*i**3 + 148*i**2 + i - 553978?
-579*i**2 + 296*i + 1
Find the first derivative of 7*s**4 + 176*s**2 + 17*s - 591346.
28*s**3 + 352*s + 17
What is the third derivative of -2*z**6 - 738378*z**5 - z**2 + 105799*z + 8?
-240*z**3 - 44302680*z**2
What is the first derivative of -9559*x**4 - 87*x**3 - 2177211?
-38236*x**3 - 261*x**2
What is the derivative of -146786*l - 35502?
-146786
Find the third derivative of 819812*z**6 + 214*z**2 - 2*z + 730 wrt z.
98377440*z**3
Differentiate -m**4 + 1685*m + 89281 wrt m.
-4*m**3 + 1685
Find the second derivative of c**2*k**2*y - c**2*k*p*y + 21578*c**2*k*y - c**2*p*y + 2*c*k**2*y - 14855*k**2*p*y wrt k.
2*c**2*y + 4*c*y - 29710*p*y
What is the third derivative of 3167*b**4*r**3 - 2*b**4*r + 33*b**3*r - 34401*b**2*r**3 + b*r + 3*r**3 wrt b?
76008*b*r**3 - 48*b*r + 198*r
Find the second derivative of -188512*m**4 - m**3 - 158789*m.
-2262144*m**2 - 6*m
Find the third derivative of -2880023*h**3*w**2 + 236909*h**2*w**2 + 6*h*w**2 wrt h.
-17280138*w**2
What is the third derivative of 212001*d**3*h - 4*d**2 + 12*d*h + 263*h wrt d?
1272006*h
Find the first derivative of 19599*k + 34595 wrt k.
19599
Find the first derivative of -20*a**3 + 68*a**2 + 8*a + 224293 wrt a.
-60*a**2 + 136*a + 8
What is the third derivative of 393*v**5 + v**4 - 13*v**3 + 1056*v**2 - v + 2?
23580*v**2 + 24*v - 78
What is the derivative of 57589*q**2*y**2 + 23*q*y + 541280*y**2 + 2*y wrt q?
115178*q*y**2 + 23*y
Find the third derivative of 903*l**3*u**4 + 1152*l**3*u**2 - 83*l*u**4 + 30*l*u - 2*u**2 wrt u.
21672*l**3*u - 1992*l*u
What is the derivative of -224472*d**2 - 358992?
-448944*d
What is the third derivative of 32104*g**5 + 2074*g**2 + 8?
1926240*g**2
What is the third derivative of 247566*g**3 - 71219*g**2 wrt g?
1485396
What is the first derivative of 299*q**4*t**2 + 344*q*t**2 + 184095*t**2 - 8 wrt q?
1196*q**3*t**2 + 344*t**2
What is the third derivative of -3724*l*z**4 - 61*l*z**2 - 3*l*z - l - z**3 - 3*z - 2 wrt z?
-89376*l*z - 6
Find the third derivative of 14*p*q**4 - 4*p*s - 2*q**4*s - 1348*q**4 - 647*q**2*s - 8*q*s wrt q.
336*p*q - 48*q*s - 32352*q
Find the third derivative of -2*q**6 + 1570*q**5 + 1465*q**2 - 23*q wrt q.
-240*q**3 + 94200*q**2
Find the second derivative of u**4 - 3795*u**2 - 229*u - 10.
12*u**2 - 7590
Find the third derivative of 3*p**3*q**2 + 3150*p**3*q - 5*p**3*u**2 - 2282*p**2*q**2*u + q**2*u**2 + 23*q*u**2 wrt p.
18*q**2 + 18900*q - 30*u**2
What is the third derivative of -335*t**5*v + 435*t**4*v**3 + 8*t**2*v**3 - 1662*t**2*v - 5*t*v**3 + 2 wrt t?
-20100*t**2*v + 10440*t*v**3
Differentiate 110*b**2 + 468*b*k**2 - 142046*k**2 with respect to b.
220*b + 468*k**2
What is the second derivative of -33266*g**3 - 157*g?
-199596*g
What is the derivative of -53760*t + 75067?
-53760
Find the third derivative of -34424*d**4 - 18972*d**2 wrt d.
-826176*d
What is the derivative of 3*h**2*p*y + 127*h**2*p + 555*h**2*y - 2*h**2 + 15*h*y + 15*h - 37*p*y + p wrt p?
3*h**2*y + 127*h**2 - 37*y + 1
What is the second derivative of -49818*q**2*u + 53624*q*u + 2*u wrt q?
-99636*u
Find the second derivative of -44825*h**2 + 48771*h wrt h.
-89650
Differentiate -142576*f*u + 2*f + 16*u**3 + 1188768 wrt u.
-142576*f + 48*u**2
What is the second derivative of 9411*f**2*k**2*y**2 + 476*f**2*y**2 + 16*f*k**2*y**2 - 5*f*y**2 + 3*k*y wrt k?
18822*f**2*y**2 + 32*f*y**2
What is the derivative of -f*g**2*z + 373*f*g**2 - 36*f*g + f*z - 2*f - 4155*g**2*z**3 wrt z?
-f*g**2 + f - 12465*g**2*z**2
What is the second derivative of -1197*u*z**4 + 2*u*z**3 + 94568*u*z - 4*z**3 wrt z?
-14364*u*z**2 + 12*u*z - 24*z
What is the second derivative of 33*u**3*w**3 - 2*u**
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{
"pile_set_name": "DM Mathematics"
}
|
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